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賳馗乇賷丞 丕賱賮賵囟賶 : 毓賱賲 丕賱賱丕賲鬲賵賯毓
鬲亘鬲丿賷 賳馗乇賷丞 丕賱賮賵囟賶 (賰丕賷賵爻) 賲賳 丕賱丨丿賵丿 丕賱鬲賷 賷鬲賵賯賮 毓賳丿賴丕 丕賱毓丕賱賲 丕賱鬲賯賱賷丿賷 賵賷毓噩夭貙 賮賲賳匕 卮乇毓 丕賱毓賱賲 賮賷 丨賱 兀賱睾丕夭 丕賱賰賵賳 毓丕賳賶 丿賵賲丕賸 賲賳 丕賱噩賴賱 亘卮兀賳 馗丕賴乇丞 丕賱丕囟胤乇丕亘 賲孬賱 鬲賯賱亘丕鬲 丕賱賲賳丕禺貙 賵丨乇賰丞 兀賲賵丕噩 丕賱亘丨乇貙 賵丕賱鬲賯賱亘丕鬲 賮賷 丕賱兀賳賵丕毓 丕賱丨賷丞 賵兀毓丿丕丿賴丕貙 賵丕賱鬲匕亘匕亘 賮賷 毓賲賱 丕賱賯賱亘 賵丕賱丿賲丕睾. 廿賳 丕賱噩丕賳亘 睾賷乇 丕賱賲賳馗賲 賲賳 丕賱胤亘賷毓丞貙 睾賷乇 丕賱賲賳爻噩賲 賵睾賷乇 丕賱賲鬲賳丕爻賯 賵丕賱賲賮丕噩卅 賵丕賱廿賳賯賱丕亘賷貙 兀毓噩夭 丕賱毓賱賲 丿賵賲丕賸.
賵卮乇毓鬲 鬲賱賰 丕賱氐賵乇丞 賮賷 丕賱鬲睾賷乇 鬲丿乇賷噩賷丕賸 賮賷 爻亘毓賷賳丕鬲 丕賱賯乇賳 丕賱毓卮乇賷賳貙 毓賳丿賲丕 賴賲鬲 賰賵賰亘丞 賲賳 丕賱毓賱賲丕亍 丕賱兀賲賷乇賰賷賷賳 賵丕賱兀賵乇賵亘賷賷賳 賱賱丕噩鬲賲丕毓 亘兀賲乇 丕賱丕囟胤乇丕亘 賵賮賵囟丕賴貙 賵鬲兀賱賮鬲 鬲賱賰 丕賱賰賵賰亘丞 賲賳 毓賱賲丕亍 丕賱賮賷夭賷丕亍 賵丕賱乇賷丕囟賷丕鬲 賵丕賱亘賷賵賱賵噩賷丕 賵丕賱賰賷賲賷丕亍貙 爻毓賵丕 賱賱廿賲爻丕賰 亘丕賱禺賷賵胤 丕賱鬲賷 鬲噩賲毓 馗賵丕賴乇 丕賱賮賵囟賶 賰賱賴丕貙 賲賳 賴匕賴 丕賱夭丕賵賷丞 賷賲賰賳 賮賴賲 毓亘丕乇丞 賲賳 賳賵毓 "廿賳 乇賮丞 噩賳丕丨賷 賮乇丕卮丞 賮賷 丕賱賴賳丿 賯丿 鬲丨丿孬 賮賷囟丕賳丕鬲 賮賷 賳賴乇 丕賱兀賲丕夭賵賳"貙 亘毓丿 賯乇丕亍丞 賴匕丕 丕賱賰鬲丕亘貙 賱賳 鬲賳馗乇 廿賱賶 丕賱毓丕賱賲 亘丕賱胤乇賷賯丞 丕賱鬲賷 丕毓鬲丿鬲 兀賳 鬲乇丕賴 賮賷賴丕 賲賳 賯亘賱.
賵卮乇毓鬲 鬲賱賰 丕賱氐賵乇丞 賮賷 丕賱鬲睾賷乇 鬲丿乇賷噩賷丕賸 賮賷 爻亘毓賷賳丕鬲 丕賱賯乇賳 丕賱毓卮乇賷賳貙 毓賳丿賲丕 賴賲鬲 賰賵賰亘丞 賲賳 丕賱毓賱賲丕亍 丕賱兀賲賷乇賰賷賷賳 賵丕賱兀賵乇賵亘賷賷賳 賱賱丕噩鬲賲丕毓 亘兀賲乇 丕賱丕囟胤乇丕亘 賵賮賵囟丕賴貙 賵鬲兀賱賮鬲 鬲賱賰 丕賱賰賵賰亘丞 賲賳 毓賱賲丕亍 丕賱賮賷夭賷丕亍 賵丕賱乇賷丕囟賷丕鬲 賵丕賱亘賷賵賱賵噩賷丕 賵丕賱賰賷賲賷丕亍貙 爻毓賵丕 賱賱廿賲爻丕賰 亘丕賱禺賷賵胤 丕賱鬲賷 鬲噩賲毓 馗賵丕賴乇 丕賱賮賵囟賶 賰賱賴丕貙 賲賳 賴匕賴 丕賱夭丕賵賷丞 賷賲賰賳 賮賴賲 毓亘丕乇丞 賲賳 賳賵毓 "廿賳 乇賮丞 噩賳丕丨賷 賮乇丕卮丞 賮賷 丕賱賴賳丿 賯丿 鬲丨丿孬 賮賷囟丕賳丕鬲 賮賷 賳賴乇 丕賱兀賲丕夭賵賳"貙 亘毓丿 賯乇丕亍丞 賴匕丕 丕賱賰鬲丕亘貙 賱賳 鬲賳馗乇 廿賱賶 丕賱毓丕賱賲 亘丕賱胤乇賷賯丞 丕賱鬲賷 丕毓鬲丿鬲 兀賳 鬲乇丕賴 賮賷賴丕 賲賳 賯亘賱.
384 pages, Paperback
First published October 29, 1987
5064 people are currently reading
74760 people want to read
About the author
James Gleick
31听books1,988听followersJames Gleick (born August 1, 1954) is an American author, journalist, and biographer, whose books explore the cultural ramifications of science and technology. Three of these books have been Pulitzer Prize and National Book Award finalists, and they have been translated into more than twenty languages.
Born in New York City, USA, Gleick attended Harvard College, graduating in 1976 with a degree in English and linguistics. Having worked for the Harvard Crimson and freelanced in Boston, he moved to Minneapolis, where he helped found a short-lived weekly newspaper, Metropolis. After its demise, he returned to New York and joined as staff of the New York Times, where he worked for ten years as an editor and reporter.
He was the McGraw Distinguished Lecturer at Princeton University in 1989-90. Gleick collaborated with the photographer Eliot Porter on Nature's Chaos and with developers at Autodesk on Chaos: The Software. In 1993, he founded The Pipeline, an early Internet service. Gleick is active on the boards of the Authors Guild and the Key West Literary Seminar.
His first book, Chaos: Making a New Science, an international best-seller, chronicled the development of chaos theory and made the Butterfly Effect a household phrase.
Among the scientists Gleick profiled were Mitchell Feigenbaum, Stephen Jay Gould, Douglas Hofstadter, Richard Feynman and Benoit Mandelbrot. His early reporting on Microsoft anticipated the antitrust investigations by the U. S. Department of Justice and the European Commission. Gleick's essays charting the growth of the Internet included the "Fast Forward" column on technology in the New York Times Magazine from 1995 to 1999 and formed the basis of his book What Just Happened. His work has also appeared in The New Yorker, the Atlantic, Slate, and the Washington Post.
Bibliography:
1987 Chaos: Making a New Science, Viking Penguin. (ISBN 0140092501)
1990 (with Eliot Porter) Nature's Chaos, Viking Penguin. (ISBN 0316609420)
1992 Genius: The Life and Science of Richard Feynman, Pantheon. (ISBN 0679747044)
1999 Faster: The Acceleration of Just About Everything, Pantheon. (ISBN 067977548X)
2000 (editor) The Best American Science Writing 2000, HarperCollins. (ISBN 0060957360)
2002 What Just Happened: A Chronicle from the Electronic Frontier, Pantheon. (ISBN 0375713913)
2003 Isaac Newton, Pantheon. (ISBN 1400032954)
2011 The Information: A History, a Theory, a Flood. New York: Pantheon Books. (ISBN 9780375423727 )
Born in New York City, USA, Gleick attended Harvard College, graduating in 1976 with a degree in English and linguistics. Having worked for the Harvard Crimson and freelanced in Boston, he moved to Minneapolis, where he helped found a short-lived weekly newspaper, Metropolis. After its demise, he returned to New York and joined as staff of the New York Times, where he worked for ten years as an editor and reporter.
He was the McGraw Distinguished Lecturer at Princeton University in 1989-90. Gleick collaborated with the photographer Eliot Porter on Nature's Chaos and with developers at Autodesk on Chaos: The Software. In 1993, he founded The Pipeline, an early Internet service. Gleick is active on the boards of the Authors Guild and the Key West Literary Seminar.
His first book, Chaos: Making a New Science, an international best-seller, chronicled the development of chaos theory and made the Butterfly Effect a household phrase.
Among the scientists Gleick profiled were Mitchell Feigenbaum, Stephen Jay Gould, Douglas Hofstadter, Richard Feynman and Benoit Mandelbrot. His early reporting on Microsoft anticipated the antitrust investigations by the U. S. Department of Justice and the European Commission. Gleick's essays charting the growth of the Internet included the "Fast Forward" column on technology in the New York Times Magazine from 1995 to 1999 and formed the basis of his book What Just Happened. His work has also appeared in The New Yorker, the Atlantic, Slate, and the Washington Post.
Bibliography:
1987 Chaos: Making a New Science, Viking Penguin. (ISBN 0140092501)
1990 (with Eliot Porter) Nature's Chaos, Viking Penguin. (ISBN 0316609420)
1992 Genius: The Life and Science of Richard Feynman, Pantheon. (ISBN 0679747044)
1999 Faster: The Acceleration of Just About Everything, Pantheon. (ISBN 067977548X)
2000 (editor) The Best American Science Writing 2000, HarperCollins. (ISBN 0060957360)
2002 What Just Happened: A Chronicle from the Electronic Frontier, Pantheon. (ISBN 0375713913)
2003 Isaac Newton, Pantheon. (ISBN 1400032954)
2011 The Information: A History, a Theory, a Flood. New York: Pantheon Books. (ISBN 9780375423727 )
Ratings & Reviews
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Displaying 1 - 30 of 1,540 reviews
January 18, 2014
Chaos: The Tip of a Giant Iceberg
Gleick only gives an introduction about the actual science and beauty of Chaos. Instead he focusses on giving a poetic account of the scientists who first stumbled on it -- and their great surprise and their struggles form the narrative crux of the book.
While some may say this makes it a less informative book, for me this made it one of the most intriguing non-fiction books I have read. Gleick's way of telling the stories makes the reader share in the wonder and incredulity of each pioneer as he stumbled upon this hitherto unguessed truth of nature. Each stumbling step, each misguided attempt and every remonstration expected in such a new endeavor is traced out in loving detail and these scientists come alive as insecure dramers daring to step beyond the realms of the possible. Gleick makes heroes out of and the others and weaves an otherworldly charm around their ideas. This made the book pure poetry for me.
The amazing pictures and illustrations and the quotes accompanying each chapter all add to the feeling of reading an art text book rather than a science book. And this ultimately was the real achievement of Gleick in writing Chaos - He manages to convey to us that this is the first foray of science into the realm of art - not just of explaining art but of being art.
But ultimately none of this is going to be the lasting impact of this book. The reading pleasure and the hero worship of these daredevils is transient after all. For me, the real impact is that it has changed the way I look at the ordinary everyday world - the leaves, the trees, the pebbles, the pattern on the peels of an orange - everything is strangely magnified and beautiful now. I see the poetry of constant motion and evolution everywhere and I can feel the science of Chaos intuitively as I take my long walks. I can see Strange Attractors and Fractals and unstable equilibriums in the most mundane places. And this is the greatest gift of the book.
P.S. Don't miss out on the exhaustive endnotes. They are indispensable.
Gleick only gives an introduction about the actual science and beauty of Chaos. Instead he focusses on giving a poetic account of the scientists who first stumbled on it -- and their great surprise and their struggles form the narrative crux of the book.
While some may say this makes it a less informative book, for me this made it one of the most intriguing non-fiction books I have read. Gleick's way of telling the stories makes the reader share in the wonder and incredulity of each pioneer as he stumbled upon this hitherto unguessed truth of nature. Each stumbling step, each misguided attempt and every remonstration expected in such a new endeavor is traced out in loving detail and these scientists come alive as insecure dramers daring to step beyond the realms of the possible. Gleick makes heroes out of and the others and weaves an otherworldly charm around their ideas. This made the book pure poetry for me.
The amazing pictures and illustrations and the quotes accompanying each chapter all add to the feeling of reading an art text book rather than a science book. And this ultimately was the real achievement of Gleick in writing Chaos - He manages to convey to us that this is the first foray of science into the realm of art - not just of explaining art but of being art.
But ultimately none of this is going to be the lasting impact of this book. The reading pleasure and the hero worship of these daredevils is transient after all. For me, the real impact is that it has changed the way I look at the ordinary everyday world - the leaves, the trees, the pebbles, the pattern on the peels of an orange - everything is strangely magnified and beautiful now. I see the poetry of constant motion and evolution everywhere and I can feel the science of Chaos intuitively as I take my long walks. I can see Strange Attractors and Fractals and unstable equilibriums in the most mundane places. And this is the greatest gift of the book.
P.S. Don't miss out on the exhaustive endnotes. They are indispensable.
February 27, 2016
"The future is disorder."
鈥� Tom Stoppard, Arcadia
鈥淭he unpredictable and the predetermined unfold together to make everything the way it is.鈥�
鈥� Tom Stoppard, Arcadia
Half of what draws me to physics, to theory, to Feynman and Fermat, to Wittgenstein and Weber, is the energy that boils beyond the theory. The force living just beyond the push. I'm not alone. Many of my favorite authors (, , ) and musicians (Mahler, Beethoven, etc) all dance around this same wicked fire. This burn of the natural world, this magic of the unknown, is what draws me to read physics and philosophy as an absolute amature. There are pieces and fractures in these books that actually DON'T escape me. They hit my brain and spin and keep spinning forever. I imagine this is something felt also by Gleick, one of the top tier science writers out there.
My big grievance with this book is it falls too short. His narrative is compelling, yes, the stories are interesting, sure, but he doesn't grab the central characters as well as a new journalist like John McPhee does. He floats too far above the actual science and complexity. He shows you pictures and dances around the pools of chaos and clouds of complexity, but never actually puts the reader INTO the churning water or shoots the reader into energized, cumuliform heaps.
This is a book for an advanced HS senior or an average college Freshman. It is pop-science and definitely has its place. This is a book that is more about translating the story of the science (not the science) for NOT the layman, but really the lazy layman. That is probably one of the reasons it did so well. Anyway, I'm glad I read it, but just wish it was deeper, thicker, and way less predictable.
鈥� Tom Stoppard, Arcadia
鈥淭he unpredictable and the predetermined unfold together to make everything the way it is.鈥�
鈥� Tom Stoppard, Arcadia
Half of what draws me to physics, to theory, to Feynman and Fermat, to Wittgenstein and Weber, is the energy that boils beyond the theory. The force living just beyond the push. I'm not alone. Many of my favorite authors (, , ) and musicians (Mahler, Beethoven, etc) all dance around this same wicked fire. This burn of the natural world, this magic of the unknown, is what draws me to read physics and philosophy as an absolute amature. There are pieces and fractures in these books that actually DON'T escape me. They hit my brain and spin and keep spinning forever. I imagine this is something felt also by Gleick, one of the top tier science writers out there.
My big grievance with this book is it falls too short. His narrative is compelling, yes, the stories are interesting, sure, but he doesn't grab the central characters as well as a new journalist like John McPhee does. He floats too far above the actual science and complexity. He shows you pictures and dances around the pools of chaos and clouds of complexity, but never actually puts the reader INTO the churning water or shoots the reader into energized, cumuliform heaps.
This is a book for an advanced HS senior or an average college Freshman. It is pop-science and definitely has its place. This is a book that is more about translating the story of the science (not the science) for NOT the layman, but really the lazy layman. That is probably one of the reasons it did so well. Anyway, I'm glad I read it, but just wish it was deeper, thicker, and way less predictable.
September 11, 2020
賱賲 兀亘丿兀 丕賱賰鬲丕亘 廿賱丕 亘毓丿 賳氐賷丨丞 賲賳 兀丨丿 賲購乇丕噩毓賷 丕賱賰鬲丕亘 毓賱賶 丕賱賲賵賯毓貙 賷賳氐丨 賲賳 賱賷爻 賱賴 亘丕毓 賮賷 丕賱乇賷丕囟賷丕鬲 亘兀賱丕 賷禺丕賮 賲賳 丕賱廿賯丿丕賲 毓賱賶 賯乇丕亍鬲賴 賵賷毓丿賴 亘丕賱賰孬賷乇 賲賳 丕賱丨賲丕爻!
丨爻賳丕賸貙 賷賲賰賳賳賷 丕賱賯賵賱 兀賳賳賷 賱賲 兀賮賴賲 兀賰孬乇 賲賳 賳氐賮 賲丕 噩丕亍 賮賷 丕賱賰鬲丕亘貙 乇亘賲丕 亘丨賰賲 亘毓丿 丿乇丕爻鬲賷 毓賳 賴匕丕 兀賲賵乇 "丕賱賲乇毓亘丞"貙 賮丕賱賰鬲丕亘 賷毓噩 亘鬲噩丕乇亘 賮賷夭賷丕卅賷丞 賵賲亘丕丿卅 乇賷丕囟賷丞 毓噩夭鬲 毓賳 鬲氐賵乇賴丕. 賵賱賰賳 賳氐賷丨丞 丕賱賯丕乇卅 鬲丨賯賯鬲 噩夭卅賷丕賸貙 賮賯丿 兀氐亘丨 賱丿賷 丨賲丕爻 賰亘賷乇 賱賲毓乇賮丞 丕賱賲夭賷丿 毓賳 賳馗乇賷丞 丕賱賮賵囟賶.
爻兀亘丿兀 亘毓賷賵亘 丕賱賰鬲丕亘貨 賰丕賳鬲 賴賳丕賰 賲毓賱賵賲丕鬲 賱丕 丿丕毓 賱賴丕 毓賱賶 丕賱廿胤賱丕賯貙 賮賲丕匕丕 爻兀爻鬲賮賷丿 賲賳 賲毓乇賮丞 賲賰丕賳 爻賰賳 丕賱毓丕賱賲 丕賱賮賵賱丕賳賷 賮賷 賲丿賷賳丞 賲丕責 賵賲丕 丕賱匕賷 爻賷囟賷賮賴 賵氐賮 賴賷卅丞 毓丕賱賲 賲丕 亘丕賱賲賲鬲賱卅責 乇亘賲丕 乇兀賶 丕賱賰丕鬲亘 兀賳 賴匕賴 丕賱賲毓賱賵賲丕鬲 賯丿 鬲賰爻乇 賲賳 丨丿丞 噩賮丕賮 兀爻賱賵亘 丕賱賰鬲丕亘 賵賱賰賳賴丕 賮賷 丕賱賵丕賯毓 噩丕亍鬲 賲鬲賰賱賮丞.
賰丕賳 賴賳丕賰 賲卮賰賱丞 賮賷 丕賱鬲亘賵賷亘 賵卮毓乇鬲 亘賮賵囟賶 賮賷 胤乇丨 丕賱賲毓賱賵賲丕鬲貙 亘丿丕 賵賰兀賳 丕賱賰丕鬲亘 賷乇賷丿 兀賳 賷乇賷賳丕 賲孬丕賱丕賸 毓賲賱賷丕賸 賱賳馗乇賷丞 丕賱賮賵囟賶 賮賷 賰鬲丕亘賴.
鬲賵賯毓鬲 兀賳 兀賳鬲賴賷 賲賳 丕賱賰鬲丕亘 賵賯丿 賮賴賲鬲 賲丕 賴賷 賳馗乇賷丞 丕賱賮賵囟賶貙 賵賱賰賳 丕賱匕賷 丨丿孬 兀賳 丕賱賰鬲丕亘 賰丕賳 兀卮亘賴 亘賭賭 "爻賷乇丞 丨賷丕丞" 賱賱賳馗乇賷丞 兀賰孬乇 賲賳賴 廿賱賶 卮乇丨 賵丕賮 賱賱賳馗乇賷丞貙 賰賲丕 毓賱賯 兀丨丿 賲購乇丕噩毓賷 丕賱賰鬲丕亘 毓賱賶 丕賱賲賵賯毓貙
賮賯丿 鬲賲 匕賰乇 丕賱賰孬賷乇 毓賳 賳卮兀丞 丕賱賳馗乇賷丞 賵丕賱鬲丨丿賷丕鬲 丕賱鬲賷 賵丕噩賴賴丕 丕賱毓賱賲丕亍 丕賱匕賷賳 鬲亘賳賵賴丕 賵丕賱鬲噩丕乇亘 丕賱鬲賷 賯丕賲賵丕 亘廿噩乇丕卅賴丕 賵丕賱賲丐鬲賲乇丕鬲 丕賱鬲賷 丨囟乇賵賴丕貙 賵賱賰賳 賮賷 丕賱賳賴丕賷丞 賵噩丿鬲 丕賱賯賱賷賱 毓賳 賲賮賴賵賲 丕賱賳馗乇賷丞 賵毓賱丕賯鬲賴丕 亘丕賱兀賲孬賱丞 丕賱鬲賷 爻丕賯賴丕
兀賷賳 丕賱丨賲丕爻 廿匕賳 賮賷 禺囟賲 賰賱 賴匕丕責
亘毓丿 鬲賳丨賷丞 丕賱毓丿賷丿 賲賳 丕賱鬲賮丕氐賷賱 睾賷乇 丕賱賲賮賴賵賲丞 賮賷 丕賱賰鬲丕亘貙 兀毓鬲賯丿 兀賳賳賷 禺乇噩鬲 亘賲賵囟賵毓賷賳 賴丕賲賷賳:
丕賱兀賵賱 毓賳 廿丿賵丕乇丿 賱賵乇賳夭
賮賷 毓丕賲 1961 賰丕賳 廿丿賵丕乇丿 賱賵乇賳夭 毓丕賱賲 丕賱兀乇氐丕丿 匕賵 丕賱禺賱賮賷丞 丕賱賮賷夭賷丕卅賷丞 賷賯賵賲 亘賳賲賵匕噩 賲丨丕賰丕丞 賱丨丕賱丞 丕賱胤賯爻 賵匕賱賰 亘廿丿禺丕賱 賲毓胤賷丕鬲 兀賵賱賷丞 賱賰賲亘賷賵鬲乇 亘丿丕卅賷貙 賱賷賯賵賲 丕賱噩賴丕夭 亘廿禺乇丕噩 乇爻賵賲 亘賷丕賳賷丞 鬲爻丕毓丿 毓賱賶 丕賱鬲賳亘丐 亘丨丕賱丞 丕賱胤賯爻貙 賮賷 賴匕賴 丕賱賲乇丞 賰丕賳 賷毓賷丿 廿丿禺丕賱 丕賱賲毓胤賷丕鬲 丕賱兀賵賱賷丞 賱賲乇丞 孬丕賳賷丞貙 亘毓丿 賮鬲乇丞 賲賳 毓賲賱 丕賱噩賴丕夭 毓丕丿 賱賵乇賳夭 賱賷噩丿 賲賮丕噩兀丞 賲丿賴卮丞貙 賮毓賱賶 丕賱乇睾賲 賲賳 兀賳賴 賯丕賲 亘廿丿禺丕賱 丕賱賲毓胤賷丕鬲 賳賮爻賴丕 廿賱丕 兀賳 丕賱乇爻賵賲 丕賱亘賷丕賳賷丞 噩丕亍鬲 賲禺鬲賱賮丞 毓賳 匕賷 賯亘賱貙 馗賳 賱賵乇賳夭 兀賳 賴賳丕賰 禺胤兀 亘丕賱噩賴丕夭 賵賱賰賳賴 賮胤賳 賮賷賲丕 亘毓丿 廿賱賶 兀賳賴 賯丕賲 亘廿丿禺丕賱 兀乇賯丕賲 鬲賯乇賷亘賷丞 毓賳 丕賱賲乇丞 丕賱兀賵賱賶 馗賳丕賸 賲賳賴 兀賳 丕賱賮乇賯 丕賱賴賷賳貙 賵賲賯丿丕乇賴 賰爻乇 賲賳 丕賱兀賱賮貙 賱賳 賷氐賳毓 賮丕乇賯丕賸.
賯乇乇 賱賵乇賳夭 廿毓丕丿丞 丕賱鬲噩乇亘丞 賲毓 賳賲胤賷賳 賲鬲賯丕乇亘賷賳 賲賳 丕賱胤賯爻 (賱丕 賷禺鬲賱賮丕賳 爻賵賶 賮賷 賮乇賵賯 胤賮賷賮丞 賮賷 丕賱兀賵囟丕毓 丕賱兀賵賱賷丞) 賮賰丕賳鬲 賴匕賴 賴賷 丕賱賳鬲賷噩丞
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賮賷 丕賱亘丿丕賷丞 賰丕賳丕 賲鬲胤丕亘賯賷賳貙 孬賲 馗賴乇 賮乇賯 亘爻賷胤. 賲毓 丕賱丿賵乇丞 丕賱鬲丕賱賷丞貙 馗賴乇 賮乇賯 賵丕囟丨. 賵亘毓丿 丿賵乇丕鬲 鬲賱丕卮賶 賰賱 卮亘賴 亘賷賳賴賲丕.
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賵賲賳 賴賳丕 噩丕亍 丕賱賲氐胤賱丨 丕賱卮賴賷乇: "兀孬乇 丕賱賮乇丕卮丞" 賵丕賱匕賷 丕氐胤賰賴 賱賵乇賳夭貙 賴匕丕 丕賱賲孬丕賱 賷賮鬲乇囟 兀賳 丨乇賰丞 丕賱賴賵丕亍 丕賱匕賷 鬲賳鬲噩 毓賳 鬲丨乇賰 噩賳丕丨賷 丕賱賮乇丕卮丞 賮賷 賲賰丕賳 賲丕 賯丕丿乇丞 毓賱賶 兀賳 鬲賰賵賳 爻亘亘丕賸 賮賷 廿毓氐丕乇 賮賷 丕賱賳丕丨賷丞 丕賱兀禺乇賶 賲賳 丕賱賰乇丞 丕賱兀乇囟賷丞
賴匕丕 丕賱賲氐胤賱丨 賲噩丕夭賷 亘丕賱胤亘毓貙 賷購爻鬲禺丿賲 賱賱鬲毓亘賷乇 毓賳 賲賮賴賵賲 丕賱丕毓鬲賲丕丿 丕賱丨爻丕爻 賱賱丨丿孬 毓賱賶 丕賱馗乇賵賮 丕賱兀賵賱賶 丕賱賲丨賷胤丞貙 賯丿 賷賰賵賳 丕賱丨丿孬 丕賱兀賵賱 亘爻賷胤丕賸 賮賷 丨丿 匕丕鬲賴貙 賱賰賳賴 賷賵賱丿 爻賱爻賱丞 賲鬲鬲丕亘毓丞 賲賳 丕賱賳鬲丕卅噩 賵丕賱鬲胤賵乇丕鬲 丕賱賲鬲鬲丕賱賷丞 賵丕賱鬲賷 賷賮賵賯 丨噩賲賴丕 亘賲乇丕丨賱 丨丿孬 丕賱亘丿丕賷丞貙 賵亘卮賰賱 賯丿 賱丕 賷鬲賵賯毓賴 兀丨丿.
賷賲賰賳 鬲賯氐賷 丕賱賲賮賴賵賲 賳賮爻賴 賮賷 噩賵丕賳亘 丕賱丨賷丕丞 丕賱賲禺鬲賱賮丞貙 賵毓賱賶 丕賱賮賵乇 賵噩丿鬲賳賷 兀鬲匕賰乇 匕賱賰 丕賱賮賷丿賷賵 丕賱賲兀禺賵匕 賲賳 賮賷賱賲: 丕賱丨丕賱丞 丕賱睾乇賷亘丞 賱亘賳噩丕賲賷賳 亘賵鬲賵賳
賮賱賵 鬲睾賷乇鬲 兀賷 賲賳 賴匕賴 丕賱賲賯丿賲丕鬲 丕賱亘爻賷胤丞 鬲睾賷乇丕賸 亘爻賷胤丕賸貙 賱賲丕 賯丕賲鬲 毓乇亘丞 丕賱鬲丕賰爻賷 亘丿賴爻 丿丕賷夭賷
兀賲丕 丕賱賲賵囟賵毓 丕賱孬丕賳賷 賮毓賳 丕賱毓丕賱賲 亘購賳賵丕賴 賲丕賳丿賷賱亘乇賵鬲
兀丿禺賱 賲丕賳丿賷賱亘乇賵鬲 丕賱毓賱賲 丕賱匕賷 賯丕賲 亘廿乇爻丕卅賴 "賴賳丿爻丞 丕賱賮乇賰鬲丕賱" 毓賱賶 丕賱毓丿賷丿 賲賳 丕賱毓賱賵賲: 丕賱廿賯鬲氐丕丿貙 丕賱亘賷卅丞貙 丕賱兀丨賷丕亍 賵睾賷乇賴丕
賵賰丕賳鬲 亘丿丕賷丞 毓丕賱賲 丕賱乇賷丕囟賷丕鬲 賲毓 兀爻毓丕乇 丕賱賯胤賳貙 賵亘丿丕 丕賰鬲卮丕賮賴 賲匕賴賱丕賸
"If you graph the history of cotton prices for all the years over the 140+ years of record-keeping, and then graph the prices for any period of time鈥搊ne year, one decade, one week鈥揹uring that period, the graphs will display the same pattern!" 賭 Mandelbrot
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賳賲胤 賲毓賷賳 賷鬲賰乇乇 毓賱賶 賳丨賵 賲睾丕賷乇貙 丕賱亘爻丕胤丞 賵丕賱鬲毓賯賷丿 賮賷 丌賳 賵丕丨丿貙 丕賱賳馗丕賲 賵丕賱賱丕賳馗丕賲貙 賴匕賴 賴賷 賴賳丿爻丞 丕賱賮乇賰鬲丕賱
賵賮賷 丕賱胤亘賷毓丞 賲賳 丨賵賱賳丕 賳噩丿 "賴賳丿爻丞 丕賱鬲賰乇丕乇 丕賱賲鬲睾賷乇" 賵丕囟丨丞 賱賱毓賷丕賳
賮賷 賵乇賯 丕賱兀卮噩丕乇貙
賵賮賷 兀卮賰丕賱 丕賱禺囟乇 ..
賵賮賷 賳丿賮 丕賱孬賱噩 賵賮賷 鬲賮乇賷毓丕鬲 兀賵毓賷鬲賳丕 丕賱丿賲賵賷丞貙 賵賮賷 爻賳丕 丕賱亘乇賯 ..
賵賴賰匕丕 賳噩丿 兀賳 賴賳丿爻丞 丕賱鬲賰乇丕乇 丕賱賲鬲睾賷乇 鬲賲孬賱 賴賳丿爻丞 丕賱胤亘賷毓丞 賳賮爻賴丕貙 廿賳賴丕 兀卮亘賴 亘丕賱亘氐賲丞 丕賱鬲賷 鬲胤丕賱毓賳丕 賮賷 賰賱 賲丕 丨賵賱賳丕貙 亘氐賲丞 丕賱禺丕賱賯 賱賴匕丕 丕賱賰賵賳
賲丕 毓賱丕賯丞 賴匕賴 丕賱丨賯丕卅賯 亘賳馗乇賷丞 丕賱賮賵囟賶責 賴匕丕 賴賵 丕噩鬲賴丕丿賷 丕賱卮禺氐賷: 賮賷 賲孬丕賱 賳丿賮 丕賱孬賱噩貙 賷氐毓購亘 丕賱鬲賳亘丐 亘卮賰賱 賰賱 丨亘丞 孬賱噩 賵丕賱鬲賷 鬲毓鬲賲丿 毓賱賶 兀爻亘丕亘 兀賵賱賷丞 賷丐丿賷 丕賱鬲睾賷乇 丕賱亘爻賷胤 賮賷 廿丨丿丕賴丕 廿賱賶 鬲睾賷購乇 丕賱卮賰賱 賳賴丕卅賷丕賸 (毓賱賶 丕賱乇睾賲 賲賳 兀賳 胤乇賷賯丞 丕賱鬲賰賵賷賳 賵丕丨丿丞)貙 賮賷 丕賱賵賯鬲 賳賮爻賴貙 毓賳丿 鬲乇丕賰賲 匕乇丕鬲 丕賱孬賱噩貙 鬲鬲賰賵賳 鬲賮丕氐賷賱 賳丿賮 丕賱孬賱噩 毓賱賶 賳賲胤 鬲賰乇丕乇賷 賲鬲睾賷乇 賮鬲亘丿賵 毓賱賶 賴匕丕 丕賱卮賰賱 丕賱爻丕丨乇.
鬲亘丿賵 賴賳丕賰 毓賱丕賯丞 "禺賮賷丞" 兀卮毓乇 亘賴丕 賵賱賰賳 賱丕 兀爻鬲賵毓亘賴丕 亘丕賱賰丕賲賱.
賵賱賰賳 賲賳 丕賱賲丐賰丿 兀賳 賴匕賴 丕賱賲毓賱賵賲丕鬲 鬲賮鬲丨 亘丕亘丕賸 賱賱鬲兀賲賱 賮賷 賴匕丕 丕賱賰賵賳 亘賳馗乇丞 噩丿賷丿丞 亘丿賱丕賸 賲賳 丕賱賳馗乇丞 丕賱丕毓鬲賷丕丿賷丞 賱賲丕 丨賵賱賳丕貙 賵鬲賵囟丨 賰賷賮 兀賳 丕賱孬賵乇丞 丕賱毓賱賲賷丞 鬲鬲胤賱亘 兀賱丕 賷購賱夭賽賲 丕賱兀賰丕丿賷賲賷賵賳 兀賳賮爻賴賲 亘丨丿賵丿 鬲禺氐丕氐鬲賴賲貙 賰賲丕 賮毓賱 毓丕賱賲 丕賱乇賷丕囟賷丕鬲 賲丕賳丿賷賱亘乇賵鬲 丕賱匕賷 亘丿兀 亘鬲兀賲賱 乇爻賲 亘賷丕賳賷 毓賳 兀爻毓丕乇 丕賱賯胤賳 賱賷賳鬲賴賷 亘毓賱賲 丕賱賮乇丕賰鬲丕賱 丕賱匕賷 賷丿禺賱 賮賷 賰賱 賲丕 丨賵賱賳丕
丨爻賳丕賸貙 賷賲賰賳賳賷 丕賱賯賵賱 兀賳賳賷 賱賲 兀賮賴賲 兀賰孬乇 賲賳 賳氐賮 賲丕 噩丕亍 賮賷 丕賱賰鬲丕亘貙 乇亘賲丕 亘丨賰賲 亘毓丿 丿乇丕爻鬲賷 毓賳 賴匕丕 兀賲賵乇 "丕賱賲乇毓亘丞"貙 賮丕賱賰鬲丕亘 賷毓噩 亘鬲噩丕乇亘 賮賷夭賷丕卅賷丞 賵賲亘丕丿卅 乇賷丕囟賷丞 毓噩夭鬲 毓賳 鬲氐賵乇賴丕. 賵賱賰賳 賳氐賷丨丞 丕賱賯丕乇卅 鬲丨賯賯鬲 噩夭卅賷丕賸貙 賮賯丿 兀氐亘丨 賱丿賷 丨賲丕爻 賰亘賷乇 賱賲毓乇賮丞 丕賱賲夭賷丿 毓賳 賳馗乇賷丞 丕賱賮賵囟賶.
爻兀亘丿兀 亘毓賷賵亘 丕賱賰鬲丕亘貨 賰丕賳鬲 賴賳丕賰 賲毓賱賵賲丕鬲 賱丕 丿丕毓 賱賴丕 毓賱賶 丕賱廿胤賱丕賯貙 賮賲丕匕丕 爻兀爻鬲賮賷丿 賲賳 賲毓乇賮丞 賲賰丕賳 爻賰賳 丕賱毓丕賱賲 丕賱賮賵賱丕賳賷 賮賷 賲丿賷賳丞 賲丕責 賵賲丕 丕賱匕賷 爻賷囟賷賮賴 賵氐賮 賴賷卅丞 毓丕賱賲 賲丕 亘丕賱賲賲鬲賱卅責 乇亘賲丕 乇兀賶 丕賱賰丕鬲亘 兀賳 賴匕賴 丕賱賲毓賱賵賲丕鬲 賯丿 鬲賰爻乇 賲賳 丨丿丞 噩賮丕賮 兀爻賱賵亘 丕賱賰鬲丕亘 賵賱賰賳賴丕 賮賷 丕賱賵丕賯毓 噩丕亍鬲 賲鬲賰賱賮丞.
賰丕賳 賴賳丕賰 賲卮賰賱丞 賮賷 丕賱鬲亘賵賷亘 賵卮毓乇鬲 亘賮賵囟賶 賮賷 胤乇丨 丕賱賲毓賱賵賲丕鬲貙 亘丿丕 賵賰兀賳 丕賱賰丕鬲亘 賷乇賷丿 兀賳 賷乇賷賳丕 賲孬丕賱丕賸 毓賲賱賷丕賸 賱賳馗乇賷丞 丕賱賮賵囟賶 賮賷 賰鬲丕亘賴.
鬲賵賯毓鬲 兀賳 兀賳鬲賴賷 賲賳 丕賱賰鬲丕亘 賵賯丿 賮賴賲鬲 賲丕 賴賷 賳馗乇賷丞 丕賱賮賵囟賶貙 賵賱賰賳 丕賱匕賷 丨丿孬 兀賳 丕賱賰鬲丕亘 賰丕賳 兀卮亘賴 亘賭賭 "爻賷乇丞 丨賷丕丞" 賱賱賳馗乇賷丞 兀賰孬乇 賲賳賴 廿賱賶 卮乇丨 賵丕賮 賱賱賳馗乇賷丞貙 賰賲丕 毓賱賯 兀丨丿 賲購乇丕噩毓賷 丕賱賰鬲丕亘 毓賱賶 丕賱賲賵賯毓貙
賮賯丿 鬲賲 匕賰乇 丕賱賰孬賷乇 毓賳 賳卮兀丞 丕賱賳馗乇賷丞 賵丕賱鬲丨丿賷丕鬲 丕賱鬲賷 賵丕噩賴賴丕 丕賱毓賱賲丕亍 丕賱匕賷賳 鬲亘賳賵賴丕 賵丕賱鬲噩丕乇亘 丕賱鬲賷 賯丕賲賵丕 亘廿噩乇丕卅賴丕 賵丕賱賲丐鬲賲乇丕鬲 丕賱鬲賷 丨囟乇賵賴丕貙 賵賱賰賳 賮賷 丕賱賳賴丕賷丞 賵噩丿鬲 丕賱賯賱賷賱 毓賳 賲賮賴賵賲 丕賱賳馗乇賷丞 賵毓賱丕賯鬲賴丕 亘丕賱兀賲孬賱丞 丕賱鬲賷 爻丕賯賴丕
兀賷賳 丕賱丨賲丕爻 廿匕賳 賮賷 禺囟賲 賰賱 賴匕丕責
亘毓丿 鬲賳丨賷丞 丕賱毓丿賷丿 賲賳 丕賱鬲賮丕氐賷賱 睾賷乇 丕賱賲賮賴賵賲丞 賮賷 丕賱賰鬲丕亘貙 兀毓鬲賯丿 兀賳賳賷 禺乇噩鬲 亘賲賵囟賵毓賷賳 賴丕賲賷賳:
丕賱兀賵賱 毓賳 廿丿賵丕乇丿 賱賵乇賳夭
賮賷 毓丕賲 1961 賰丕賳 廿丿賵丕乇丿 賱賵乇賳夭 毓丕賱賲 丕賱兀乇氐丕丿 匕賵 丕賱禺賱賮賷丞 丕賱賮賷夭賷丕卅賷丞 賷賯賵賲 亘賳賲賵匕噩 賲丨丕賰丕丞 賱丨丕賱丞 丕賱胤賯爻 賵匕賱賰 亘廿丿禺丕賱 賲毓胤賷丕鬲 兀賵賱賷丞 賱賰賲亘賷賵鬲乇 亘丿丕卅賷貙 賱賷賯賵賲 丕賱噩賴丕夭 亘廿禺乇丕噩 乇爻賵賲 亘賷丕賳賷丞 鬲爻丕毓丿 毓賱賶 丕賱鬲賳亘丐 亘丨丕賱丞 丕賱胤賯爻貙 賮賷 賴匕賴 丕賱賲乇丞 賰丕賳 賷毓賷丿 廿丿禺丕賱 丕賱賲毓胤賷丕鬲 丕賱兀賵賱賷丞 賱賲乇丞 孬丕賳賷丞貙 亘毓丿 賮鬲乇丞 賲賳 毓賲賱 丕賱噩賴丕夭 毓丕丿 賱賵乇賳夭 賱賷噩丿 賲賮丕噩兀丞 賲丿賴卮丞貙 賮毓賱賶 丕賱乇睾賲 賲賳 兀賳賴 賯丕賲 亘廿丿禺丕賱 丕賱賲毓胤賷丕鬲 賳賮爻賴丕 廿賱丕 兀賳 丕賱乇爻賵賲 丕賱亘賷丕賳賷丞 噩丕亍鬲 賲禺鬲賱賮丞 毓賳 匕賷 賯亘賱貙 馗賳 賱賵乇賳夭 兀賳 賴賳丕賰 禺胤兀 亘丕賱噩賴丕夭 賵賱賰賳賴 賮胤賳 賮賷賲丕 亘毓丿 廿賱賶 兀賳賴 賯丕賲 亘廿丿禺丕賱 兀乇賯丕賲 鬲賯乇賷亘賷丞 毓賳 丕賱賲乇丞 丕賱兀賵賱賶 馗賳丕賸 賲賳賴 兀賳 丕賱賮乇賯 丕賱賴賷賳貙 賵賲賯丿丕乇賴 賰爻乇 賲賳 丕賱兀賱賮貙 賱賳 賷氐賳毓 賮丕乇賯丕賸.
賯乇乇 賱賵乇賳夭 廿毓丕丿丞 丕賱鬲噩乇亘丞 賲毓 賳賲胤賷賳 賲鬲賯丕乇亘賷賳 賲賳 丕賱胤賯爻 (賱丕 賷禺鬲賱賮丕賳 爻賵賶 賮賷 賮乇賵賯 胤賮賷賮丞 賮賷 丕賱兀賵囟丕毓 丕賱兀賵賱賷丞) 賮賰丕賳鬲 賴匕賴 賴賷 丕賱賳鬲賷噩丞
========
賮賷 丕賱亘丿丕賷丞 賰丕賳丕 賲鬲胤丕亘賯賷賳貙 孬賲 馗賴乇 賮乇賯 亘爻賷胤. 賲毓 丕賱丿賵乇丞 丕賱鬲丕賱賷丞貙 馗賴乇 賮乇賯 賵丕囟丨. 賵亘毓丿 丿賵乇丕鬲 鬲賱丕卮賶 賰賱 卮亘賴 亘賷賳賴賲丕.
= = = = =
賵賲賳 賴賳丕 噩丕亍 丕賱賲氐胤賱丨 丕賱卮賴賷乇: "兀孬乇 丕賱賮乇丕卮丞" 賵丕賱匕賷 丕氐胤賰賴 賱賵乇賳夭貙 賴匕丕 丕賱賲孬丕賱 賷賮鬲乇囟 兀賳 丨乇賰丞 丕賱賴賵丕亍 丕賱匕賷 鬲賳鬲噩 毓賳 鬲丨乇賰 噩賳丕丨賷 丕賱賮乇丕卮丞 賮賷 賲賰丕賳 賲丕 賯丕丿乇丞 毓賱賶 兀賳 鬲賰賵賳 爻亘亘丕賸 賮賷 廿毓氐丕乇 賮賷 丕賱賳丕丨賷丞 丕賱兀禺乇賶 賲賳 丕賱賰乇丞 丕賱兀乇囟賷丞
賴匕丕 丕賱賲氐胤賱丨 賲噩丕夭賷 亘丕賱胤亘毓貙 賷購爻鬲禺丿賲 賱賱鬲毓亘賷乇 毓賳 賲賮賴賵賲 丕賱丕毓鬲賲丕丿 丕賱丨爻丕爻 賱賱丨丿孬 毓賱賶 丕賱馗乇賵賮 丕賱兀賵賱賶 丕賱賲丨賷胤丞貙 賯丿 賷賰賵賳 丕賱丨丿孬 丕賱兀賵賱 亘爻賷胤丕賸 賮賷 丨丿 匕丕鬲賴貙 賱賰賳賴 賷賵賱丿 爻賱爻賱丞 賲鬲鬲丕亘毓丞 賲賳 丕賱賳鬲丕卅噩 賵丕賱鬲胤賵乇丕鬲 丕賱賲鬲鬲丕賱賷丞 賵丕賱鬲賷 賷賮賵賯 丨噩賲賴丕 亘賲乇丕丨賱 丨丿孬 丕賱亘丿丕賷丞貙 賵亘卮賰賱 賯丿 賱丕 賷鬲賵賯毓賴 兀丨丿.
賷賲賰賳 鬲賯氐賷 丕賱賲賮賴賵賲 賳賮爻賴 賮賷 噩賵丕賳亘 丕賱丨賷丕丞 丕賱賲禺鬲賱賮丞貙 賵毓賱賶 丕賱賮賵乇 賵噩丿鬲賳賷 兀鬲匕賰乇 匕賱賰 丕賱賮賷丿賷賵 丕賱賲兀禺賵匕 賲賳 賮賷賱賲: 丕賱丨丕賱丞 丕賱睾乇賷亘丞 賱亘賳噩丕賲賷賳 亘賵鬲賵賳
賮賱賵 鬲睾賷乇鬲 兀賷 賲賳 賴匕賴 丕賱賲賯丿賲丕鬲 丕賱亘爻賷胤丞 鬲睾賷乇丕賸 亘爻賷胤丕賸貙 賱賲丕 賯丕賲鬲 毓乇亘丞 丕賱鬲丕賰爻賷 亘丿賴爻 丿丕賷夭賷
兀賲丕 丕賱賲賵囟賵毓 丕賱孬丕賳賷 賮毓賳 丕賱毓丕賱賲 亘購賳賵丕賴 賲丕賳丿賷賱亘乇賵鬲
兀丿禺賱 賲丕賳丿賷賱亘乇賵鬲 丕賱毓賱賲 丕賱匕賷 賯丕賲 亘廿乇爻丕卅賴 "賴賳丿爻丞 丕賱賮乇賰鬲丕賱" 毓賱賶 丕賱毓丿賷丿 賲賳 丕賱毓賱賵賲: 丕賱廿賯鬲氐丕丿貙 丕賱亘賷卅丞貙 丕賱兀丨賷丕亍 賵睾賷乇賴丕
賵賰丕賳鬲 亘丿丕賷丞 毓丕賱賲 丕賱乇賷丕囟賷丕鬲 賲毓 兀爻毓丕乇 丕賱賯胤賳貙 賵亘丿丕 丕賰鬲卮丕賮賴 賲匕賴賱丕賸
"If you graph the history of cotton prices for all the years over the 140+ years of record-keeping, and then graph the prices for any period of time鈥搊ne year, one decade, one week鈥揹uring that period, the graphs will display the same pattern!" 賭 Mandelbrot
= = = = =
賳賲胤 賲毓賷賳 賷鬲賰乇乇 毓賱賶 賳丨賵 賲睾丕賷乇貙 丕賱亘爻丕胤丞 賵丕賱鬲毓賯賷丿 賮賷 丌賳 賵丕丨丿貙 丕賱賳馗丕賲 賵丕賱賱丕賳馗丕賲貙 賴匕賴 賴賷 賴賳丿爻丞 丕賱賮乇賰鬲丕賱
賵賮賷 丕賱胤亘賷毓丞 賲賳 丨賵賱賳丕 賳噩丿 "賴賳丿爻丞 丕賱鬲賰乇丕乇 丕賱賲鬲睾賷乇" 賵丕囟丨丞 賱賱毓賷丕賳
賮賷 賵乇賯 丕賱兀卮噩丕乇貙
賵賮賷 兀卮賰丕賱 丕賱禺囟乇 ..
賵賮賷 賳丿賮 丕賱孬賱噩 賵賮賷 鬲賮乇賷毓丕鬲 兀賵毓賷鬲賳丕 丕賱丿賲賵賷丞貙 賵賮賷 爻賳丕 丕賱亘乇賯 ..
賵賴賰匕丕 賳噩丿 兀賳 賴賳丿爻丞 丕賱鬲賰乇丕乇 丕賱賲鬲睾賷乇 鬲賲孬賱 賴賳丿爻丞 丕賱胤亘賷毓丞 賳賮爻賴丕貙 廿賳賴丕 兀卮亘賴 亘丕賱亘氐賲丞 丕賱鬲賷 鬲胤丕賱毓賳丕 賮賷 賰賱 賲丕 丨賵賱賳丕貙 亘氐賲丞 丕賱禺丕賱賯 賱賴匕丕 丕賱賰賵賳
賲丕 毓賱丕賯丞 賴匕賴 丕賱丨賯丕卅賯 亘賳馗乇賷丞 丕賱賮賵囟賶責 賴匕丕 賴賵 丕噩鬲賴丕丿賷 丕賱卮禺氐賷: 賮賷 賲孬丕賱 賳丿賮 丕賱孬賱噩貙 賷氐毓購亘 丕賱鬲賳亘丐 亘卮賰賱 賰賱 丨亘丞 孬賱噩 賵丕賱鬲賷 鬲毓鬲賲丿 毓賱賶 兀爻亘丕亘 兀賵賱賷丞 賷丐丿賷 丕賱鬲睾賷乇 丕賱亘爻賷胤 賮賷 廿丨丿丕賴丕 廿賱賶 鬲睾賷購乇 丕賱卮賰賱 賳賴丕卅賷丕賸 (毓賱賶 丕賱乇睾賲 賲賳 兀賳 胤乇賷賯丞 丕賱鬲賰賵賷賳 賵丕丨丿丞)貙 賮賷 丕賱賵賯鬲 賳賮爻賴貙 毓賳丿 鬲乇丕賰賲 匕乇丕鬲 丕賱孬賱噩貙 鬲鬲賰賵賳 鬲賮丕氐賷賱 賳丿賮 丕賱孬賱噩 毓賱賶 賳賲胤 鬲賰乇丕乇賷 賲鬲睾賷乇 賮鬲亘丿賵 毓賱賶 賴匕丕 丕賱卮賰賱 丕賱爻丕丨乇.
鬲亘丿賵 賴賳丕賰 毓賱丕賯丞 "禺賮賷丞" 兀卮毓乇 亘賴丕 賵賱賰賳 賱丕 兀爻鬲賵毓亘賴丕 亘丕賱賰丕賲賱.
賵賱賰賳 賲賳 丕賱賲丐賰丿 兀賳 賴匕賴 丕賱賲毓賱賵賲丕鬲 鬲賮鬲丨 亘丕亘丕賸 賱賱鬲兀賲賱 賮賷 賴匕丕 丕賱賰賵賳 亘賳馗乇丞 噩丿賷丿丞 亘丿賱丕賸 賲賳 丕賱賳馗乇丞 丕賱丕毓鬲賷丕丿賷丞 賱賲丕 丨賵賱賳丕貙 賵鬲賵囟丨 賰賷賮 兀賳 丕賱孬賵乇丞 丕賱毓賱賲賷丞 鬲鬲胤賱亘 兀賱丕 賷購賱夭賽賲 丕賱兀賰丕丿賷賲賷賵賳 兀賳賮爻賴賲 亘丨丿賵丿 鬲禺氐丕氐鬲賴賲貙 賰賲丕 賮毓賱 毓丕賱賲 丕賱乇賷丕囟賷丕鬲 賲丕賳丿賷賱亘乇賵鬲 丕賱匕賷 亘丿兀 亘鬲兀賲賱 乇爻賲 亘賷丕賳賷 毓賳 兀爻毓丕乇 丕賱賯胤賳 賱賷賳鬲賴賷 亘毓賱賲 丕賱賮乇丕賰鬲丕賱 丕賱匕賷 賷丿禺賱 賮賷 賰賱 賲丕 丨賵賱賳丕
May 30, 2025
I could listen to my audiobook of this one, over and over again, forever and a day! Gleick starts out in the fifties - with the Los Alamos underground nuclear test physicists discovering that rapid fluctuations in local weather could only be mapped mathematically by Feynman Graphics. The quantum late physicist Richard Feynman produced them to map out the meteorological effects of the blasts he witnessed.
We Aspies, more keenly sensitive even than Feynman, will find a wealth of info here that is applicable to our moods! My own moods swing into high gear when I begin to let the stress out by a nap.
Neurotypicals too, who are may be less sensitive will find this book to be nevertheless a pleasant diversion.
Explaining the inexplicable can only, these scientists found, be explained by what became known by them as the Chaos Theory of Quantum Physics. One can graph out rapid changes in such things as stable matter mathematically and elegantly by assuming Chaos is suddenly calling the shots!
Two years ago in the Ottawa Valley we experienced a Dericho - a sudden, unpredicted weather freak storm - firsthand. It was scarier in our rural open spaces, with roofs unhinged from barns, shattered into mere scrap.No, there were no fatalities, or any Dorothy鈥檚 whisked off to Oz, but you get my drift.
In 60鈥檚 Los Alamos, more and more Quantum Specialsts were convinced that Chaos is WORKABLE. The theory gained speed of distribution.
More and more minds were convinced of it, from mainstream weather predicters to the autistic community.
To us Aspies, it toys with our minds鈥�
How better to debunk traditional Freudian psycho analytics?
Trauma therapy works better!
And Trauma, to us, is best described as an autistic reaction to Chaos.
We Aspies, more keenly sensitive even than Feynman, will find a wealth of info here that is applicable to our moods! My own moods swing into high gear when I begin to let the stress out by a nap.
Neurotypicals too, who are may be less sensitive will find this book to be nevertheless a pleasant diversion.
Explaining the inexplicable can only, these scientists found, be explained by what became known by them as the Chaos Theory of Quantum Physics. One can graph out rapid changes in such things as stable matter mathematically and elegantly by assuming Chaos is suddenly calling the shots!
Two years ago in the Ottawa Valley we experienced a Dericho - a sudden, unpredicted weather freak storm - firsthand. It was scarier in our rural open spaces, with roofs unhinged from barns, shattered into mere scrap.No, there were no fatalities, or any Dorothy鈥檚 whisked off to Oz, but you get my drift.
In 60鈥檚 Los Alamos, more and more Quantum Specialsts were convinced that Chaos is WORKABLE. The theory gained speed of distribution.
More and more minds were convinced of it, from mainstream weather predicters to the autistic community.
To us Aspies, it toys with our minds鈥�
How better to debunk traditional Freudian psycho analytics?
Trauma therapy works better!
And Trauma, to us, is best described as an autistic reaction to Chaos.
December 8, 2007
I did study a bit of Physics in a past life, but you don't need to have a background in science to get something out of this book. It sounds terribly difficult, but really it isn't.
This book gives a wonderful explanation of the Butterfly Effect - one of those ideas in science that everyone thinks they know and understands, but that generally people have upside down and back to front.
I really do like popular science books, particularly if they are well written, relatively easy to follow and don't leave me feeling like I've been looking over an abyss for hours. Gleick never makes you feel this and takes you through some very difficult concepts with care and assurance. A wonderful guide through what would ordinarily be a very difficult and frightening landscape.
This book gives a wonderful explanation of the Butterfly Effect - one of those ideas in science that everyone thinks they know and understands, but that generally people have upside down and back to front.
I really do like popular science books, particularly if they are well written, relatively easy to follow and don't leave me feeling like I've been looking over an abyss for hours. Gleick never makes you feel this and takes you through some very difficult concepts with care and assurance. A wonderful guide through what would ordinarily be a very difficult and frightening landscape.
March 20, 2019
I'm totally in love with this book. Like, totally.
Why? Because it GETS ME, MAN.
Just kidding. I'm not anthropomorphizing a breakthrough in science. Although, if I was, I'd DEFINITELY be cuddling with this stream of seemingly random information that keeps repeating in regular ways, forming order from seeming chaos.
Give me a seed and I will make you a universe. Or one hell of a trippy fractal.
I think I'll leave butterflies out of this.
Small changes affect great extrapolations.
Our physics generators in video games relies on this. So do aeronautical research, weather forecasts, stock market prediction, presidential elections and the resulting public outrage, and the fluid dynamics of my creamer swirling in my coffee. Not to mention galaxy formation, fingerprints, shells, coastlines, or the thing that made the little dinos get the upper hand in those movies. :)
Truly, though, this book does a great job at explaining and giving us the unusual history of the science that brought pure mathematics out of the clouds and back into the real world, dealing with our observable reality. Newton was okay for some things but all these new equations describe just HOW little uncertainties can create huge chaotic messes... and still be reduced back to first causes. :)
Neat, huh? I'm totally stoked by these bad boys. Of course, we're all, yeah, we use those equations all the time now and it's old hat, but not so long ago, they were totally in left field and none of the big boys wanted to play with them.
So, yeah, it's like a total paradigm shift, man. I'm FEEL'N it.
Why? Because it GETS ME, MAN.
Just kidding. I'm not anthropomorphizing a breakthrough in science. Although, if I was, I'd DEFINITELY be cuddling with this stream of seemingly random information that keeps repeating in regular ways, forming order from seeming chaos.
Give me a seed and I will make you a universe. Or one hell of a trippy fractal.
I think I'll leave butterflies out of this.
Small changes affect great extrapolations.
Our physics generators in video games relies on this. So do aeronautical research, weather forecasts, stock market prediction, presidential elections and the resulting public outrage, and the fluid dynamics of my creamer swirling in my coffee. Not to mention galaxy formation, fingerprints, shells, coastlines, or the thing that made the little dinos get the upper hand in those movies. :)
Truly, though, this book does a great job at explaining and giving us the unusual history of the science that brought pure mathematics out of the clouds and back into the real world, dealing with our observable reality. Newton was okay for some things but all these new equations describe just HOW little uncertainties can create huge chaotic messes... and still be reduced back to first causes. :)
Neat, huh? I'm totally stoked by these bad boys. Of course, we're all, yeah, we use those equations all the time now and it's old hat, but not so long ago, they were totally in left field and none of the big boys wanted to play with them.
So, yeah, it's like a total paradigm shift, man. I'm FEEL'N it.
July 25, 2021
It鈥檚 a quick read, though in the end I did not like CHAOS much. It is a breezy history of two decades of mostly disconnected work done by a number of different researchers in widely divergent areas of science. In an apparent coincidence, a small number of unrelated people became interested in studying aperiodic, non-linear problems arising in various fields of science all at roughly the same time. Their research had not advanced very far by the time this book was written in the mid-80s.
CHAOS was probably a little premature. It came too early which is reflected in the imprecision and shallow quality of Gleick's discussion, which can be frustratingly confusing at times.
In any event, there is no reason to read it now. It is out of date. I picked it up now, only because it has been on my shelf forever and I have long meant to read it. It was very successful with a general audience back when it was new.
I don't know if the leading thinkers on the subject would agree with this, but 'chaos theory' feels like a narrow slice of 'complexity theory' to me. For an elegant and comprehensive discussion of complexity theory, read Stephen Wolfram's ground-breaking work A NEW KIND OF SCIENCE published a decade ago and still making the news. It's the real deal.
CHAOS was probably a little premature. It came too early which is reflected in the imprecision and shallow quality of Gleick's discussion, which can be frustratingly confusing at times.
In any event, there is no reason to read it now. It is out of date. I picked it up now, only because it has been on my shelf forever and I have long meant to read it. It was very successful with a general audience back when it was new.
I don't know if the leading thinkers on the subject would agree with this, but 'chaos theory' feels like a narrow slice of 'complexity theory' to me. For an elegant and comprehensive discussion of complexity theory, read Stephen Wolfram's ground-breaking work A NEW KIND OF SCIENCE published a decade ago and still making the news. It's the real deal.
June 16, 2021
丕賱賰鬲丕亘 毓賱賲賷 亘丨鬲 賵賴匕丕 丕賱賳賵毓 賲賳 丕賱賰鬲亘 賷丨鬲丕噩 賱賱氐亘乇 孬賲 丕賱氐亘乇 禺丕氐丞 賱賱毓賵丕賲 兀賲孬丕賱賷 兀賲丕 兀氐丨丕亘 丕賱丕禺鬲氐丕氐 賮賱賴賲 賴丿賮 賲丨丿丿 賷毓乇賮賵賳賴 賯亘賱 賯乇丕亍丞 丕賱賰鬲丕亘
丕賱賲毓賱賵賲丕鬲 賲賴賲丞 賵賱賰賳 丕賱賲丐賱賮 賵賰兀賳賴 賷卮毓乇 亘兀賳 賰賱 賲丕 賷賯賵賱賴 賷丨鬲丕噩 賱賱賲夭賷丿 賱賮賴賲 兀賰孬乇 賮兀胤丕賱 賵兀爻賴亘 賮賷 亘毓囟 丕賱賳賯丕胤 賱丨丿 賷賵氐賱 丕賱賯丕乇卅 賱乇睾亘丞 賲鬲賰乇乇丞 賱鬲乇賰 丕賱賰鬲丕亘 兀丨賷丕賳丕
賵賱賰賳 亘丕賱賲噩賲賱 丕賱賰鬲丕亘 賳丕賮毓 賵賴賵 賷胤乇賯 亘丕亘丕 賱丕 亘丿 賱賳丕 賲賳 賲毓乇賮鬲賴 賵亘賲丕 兀賳賳丕 賳夭毓賲 亘兀賳賳丕 賳賲孬賱 丕賱賮卅丞 丕賱賲孬賯賮丞 賮賷 丕賱賲噩鬲賲毓 賰賯乇丕亍 賮賴賵 賵丕噩亘 丕賱賯丕乇卅
賳馗乇賷丞 丕賱賰丕賷賵爻 兀賵 丕賱賮賵囟賶 兀賵 丕賱卮賵丕卮 賰賱賴丕 賵丕丨丿
賱賵 丕乇丿賳丕 丕禺鬲氐丕乇 賷賳丕爻亘賳丕 賳丨賳 賲毓卮乇 丕賱毓賲賵賲 亘賲丕 兀賳賳丕 賱爻賳丕 賲賳 兀賴賱 丕賱丕禺鬲氐丕氐 賮賴賷 賳馗乇賷丞 丨丿賷孬丞 鬲賯賵賲 毓賱賶 丕賱亘丨孬 毓賳 丕賱賯賵丕賳賷賳 丕賱鬲賷 鬲丨賰賲 丕賱馗賵丕賴乇 丕賱毓卮賵丕卅賷丞
賮賴賷 鬲乇賶 兀賳 賱丕 卮賷亍 賷丨丿孬 亘毓卮賵丕卅賷丞 丕賳賲丕 賴賳丕賰 賯賵丕賳賷賳 丨鬲賶 賱賱毓卮賵丕卅賷丞 賵賱賰賳 丕賱毓賱賲 賱賲 賷鬲賵氐賱 賱賴丕 亘毓丿
賱賲夭賷丿 賲賳 丕賱丕賷囟丕丨 賰賲孬丕賱 兀賷 卮賷亍 賷丨丿孬 丨賵賱賳丕 賱賵 賳兀禺匕 賲孬賱丕 兀賳 鬲乇賶 兀賲丕賲賰 ( 丨賵囟 丕賱睾爻賷賱 賮賷賴 賮賯丕賯賷毓 丕賱氐丕亘賵賳 鬲乇賶 亘毓囟賴丕 鬲賰亘乇 賵亘毓囟賴丕 氐睾賷乇丞 賵亘毓囟賴丕 鬲禺鬲賮賷 賵亘毓囟賴丕 鬲賱鬲氐賯 爻賵賷丞 ) 賳馗乇賷丞 丕賱賰丕賷賵爻 賱丕 鬲乇賶 丕賳賴丕 丕賲乇 毓卮賵丕卅賷 賷丨丿孬 賴賰匕丕 亘毓卮賵丕卅賷丞 賮賷 賰賱 賲乇丞 - 丕賳賲丕 鬲乇賶 丕賳 賰賱 賴匕賴 丕賱丨乇賰丞 賱賱賮賯丕賯賷毓 賱賴丕 賯丕賳賵賳 賷丨賰賲賴丕 賵賱賰賳 賱賲 賳毓乇賮賴 亘毓丿
賲孬丕賱 丌禺乇 賵賯賮鬲 丕賲丕賲 賲丿乇爻丞 賷禺賮賯 毓賱賶 爻丕乇賷鬲賴丕 毓賱賲 兀賵 乇丕賷丞 賴匕丕 丕賱禺賮賯丕賳 賱賱乇丕賷丞 亘爻亘亘 丨乇賰丞 丕賱乇賷丕丨 賱賷爻 毓卮賵丕卅賷 丕賳賲丕 賱賴 賯丕賳賵賳 賵賴賵 賷丨丿丿 賰賱 禺賮賯丕鬲賴 賵丨乇賰鬲賴
賴匕丕 丕賳 氐丨 賰賲孬丕賱 賱賰賱 賲丕 鬲丿賵乇 丨賵賱賴 賳馗乇賷丞 丕賱賰丕賷賵爻
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丕賯鬲亘丕爻 :
鬲兀鬲賷 丕賱孬賵乇丕鬲 丕賱毓賱賲賷丞 毓賳丿賲丕 賷馗賴乇 毓賱賲 噩丿賷丿 賲賳 賯賱亘 丌禺乇 賵氐賱 廿賱賶 賳賴丕賷丞 賲爻丿賵丿丞
賰孬賷乇丕 賲丕 鬲賲賱賰 丕賱孬賵乇丞 丕賱賯丿乇丞 毓賱賶 毓亘賵乇 丕賱鬲賯爻賷賲丕鬲 亘賷賳 丕賱丕禺鬲氐丕氐丕鬲 丕賱毓賱賲賷丞
賵賰孬賷乇丕 賲丕 鬲兀鬲賷 丕賰鬲卮丕賮丕鬲賴丕 賲賳 兀卮禺丕氐 鬲爻賰賳賴賲 賴賵丕噩爻 鬲亘丿賵 睾賷乇 賲亘乇乇丞 賮賷 賳馗乇 睾賷乇賴賲 賵賰孬賷乇丕 賲丕 鬲乇賮囟 賲賯丕賱丕鬲賴賲 賵賷賳馗乇 廿賱賶 兀胤乇賵丨丕鬲賴賲 亘丕毓鬲亘丕乇賴丕 睾賷乇 賲噩丿賷丞
賵賷亘丿賵 賴丐賱丕亍 丕賱賲鬲賲乇丿賵賳 睾賷乇 賲鬲賷賯賳賷賳 賲賳 兀賷 卮賷亍 賱賰賳賴賲 賷睾丕賲乇賵賳 亘賲氐賷乇賴賲 丕賱賲賴賳賷 賷毓賲賱賵賳 亘賲賮乇丿賴賲 賵賷禺卮賵賳 兀賳 賷賮氐丨賵丕 賱兀賯乇丕賳賴賲 毓賲丕 賷爻丕賵乇賴賲
丕賱賲毓賱賵賲丕鬲 賲賴賲丞 賵賱賰賳 丕賱賲丐賱賮 賵賰兀賳賴 賷卮毓乇 亘兀賳 賰賱 賲丕 賷賯賵賱賴 賷丨鬲丕噩 賱賱賲夭賷丿 賱賮賴賲 兀賰孬乇 賮兀胤丕賱 賵兀爻賴亘 賮賷 亘毓囟 丕賱賳賯丕胤 賱丨丿 賷賵氐賱 丕賱賯丕乇卅 賱乇睾亘丞 賲鬲賰乇乇丞 賱鬲乇賰 丕賱賰鬲丕亘 兀丨賷丕賳丕
賵賱賰賳 亘丕賱賲噩賲賱 丕賱賰鬲丕亘 賳丕賮毓 賵賴賵 賷胤乇賯 亘丕亘丕 賱丕 亘丿 賱賳丕 賲賳 賲毓乇賮鬲賴 賵亘賲丕 兀賳賳丕 賳夭毓賲 亘兀賳賳丕 賳賲孬賱 丕賱賮卅丞 丕賱賲孬賯賮丞 賮賷 丕賱賲噩鬲賲毓 賰賯乇丕亍 賮賴賵 賵丕噩亘 丕賱賯丕乇卅
賳馗乇賷丞 丕賱賰丕賷賵爻 兀賵 丕賱賮賵囟賶 兀賵 丕賱卮賵丕卮 賰賱賴丕 賵丕丨丿
賱賵 丕乇丿賳丕 丕禺鬲氐丕乇 賷賳丕爻亘賳丕 賳丨賳 賲毓卮乇 丕賱毓賲賵賲 亘賲丕 兀賳賳丕 賱爻賳丕 賲賳 兀賴賱 丕賱丕禺鬲氐丕氐 賮賴賷 賳馗乇賷丞 丨丿賷孬丞 鬲賯賵賲 毓賱賶 丕賱亘丨孬 毓賳 丕賱賯賵丕賳賷賳 丕賱鬲賷 鬲丨賰賲 丕賱馗賵丕賴乇 丕賱毓卮賵丕卅賷丞
賮賴賷 鬲乇賶 兀賳 賱丕 卮賷亍 賷丨丿孬 亘毓卮賵丕卅賷丞 丕賳賲丕 賴賳丕賰 賯賵丕賳賷賳 丨鬲賶 賱賱毓卮賵丕卅賷丞 賵賱賰賳 丕賱毓賱賲 賱賲 賷鬲賵氐賱 賱賴丕 亘毓丿
賱賲夭賷丿 賲賳 丕賱丕賷囟丕丨 賰賲孬丕賱 兀賷 卮賷亍 賷丨丿孬 丨賵賱賳丕 賱賵 賳兀禺匕 賲孬賱丕 兀賳 鬲乇賶 兀賲丕賲賰 ( 丨賵囟 丕賱睾爻賷賱 賮賷賴 賮賯丕賯賷毓 丕賱氐丕亘賵賳 鬲乇賶 亘毓囟賴丕 鬲賰亘乇 賵亘毓囟賴丕 氐睾賷乇丞 賵亘毓囟賴丕 鬲禺鬲賮賷 賵亘毓囟賴丕 鬲賱鬲氐賯 爻賵賷丞 ) 賳馗乇賷丞 丕賱賰丕賷賵爻 賱丕 鬲乇賶 丕賳賴丕 丕賲乇 毓卮賵丕卅賷 賷丨丿孬 賴賰匕丕 亘毓卮賵丕卅賷丞 賮賷 賰賱 賲乇丞 - 丕賳賲丕 鬲乇賶 丕賳 賰賱 賴匕賴 丕賱丨乇賰丞 賱賱賮賯丕賯賷毓 賱賴丕 賯丕賳賵賳 賷丨賰賲賴丕 賵賱賰賳 賱賲 賳毓乇賮賴 亘毓丿
賲孬丕賱 丌禺乇 賵賯賮鬲 丕賲丕賲 賲丿乇爻丞 賷禺賮賯 毓賱賶 爻丕乇賷鬲賴丕 毓賱賲 兀賵 乇丕賷丞 賴匕丕 丕賱禺賮賯丕賳 賱賱乇丕賷丞 亘爻亘亘 丨乇賰丞 丕賱乇賷丕丨 賱賷爻 毓卮賵丕卅賷 丕賳賲丕 賱賴 賯丕賳賵賳 賵賴賵 賷丨丿丿 賰賱 禺賮賯丕鬲賴 賵丨乇賰鬲賴
賴匕丕 丕賳 氐丨 賰賲孬丕賱 賱賰賱 賲丕 鬲丿賵乇 丨賵賱賴 賳馗乇賷丞 丕賱賰丕賷賵爻
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丕賯鬲亘丕爻 :
鬲兀鬲賷 丕賱孬賵乇丕鬲 丕賱毓賱賲賷丞 毓賳丿賲丕 賷馗賴乇 毓賱賲 噩丿賷丿 賲賳 賯賱亘 丌禺乇 賵氐賱 廿賱賶 賳賴丕賷丞 賲爻丿賵丿丞
賰孬賷乇丕 賲丕 鬲賲賱賰 丕賱孬賵乇丞 丕賱賯丿乇丞 毓賱賶 毓亘賵乇 丕賱鬲賯爻賷賲丕鬲 亘賷賳 丕賱丕禺鬲氐丕氐丕鬲 丕賱毓賱賲賷丞
賵賰孬賷乇丕 賲丕 鬲兀鬲賷 丕賰鬲卮丕賮丕鬲賴丕 賲賳 兀卮禺丕氐 鬲爻賰賳賴賲 賴賵丕噩爻 鬲亘丿賵 睾賷乇 賲亘乇乇丞 賮賷 賳馗乇 睾賷乇賴賲 賵賰孬賷乇丕 賲丕 鬲乇賮囟 賲賯丕賱丕鬲賴賲 賵賷賳馗乇 廿賱賶 兀胤乇賵丨丕鬲賴賲 亘丕毓鬲亘丕乇賴丕 睾賷乇 賲噩丿賷丞
賵賷亘丿賵 賴丐賱丕亍 丕賱賲鬲賲乇丿賵賳 睾賷乇 賲鬲賷賯賳賷賳 賲賳 兀賷 卮賷亍 賱賰賳賴賲 賷睾丕賲乇賵賳 亘賲氐賷乇賴賲 丕賱賲賴賳賷 賷毓賲賱賵賳 亘賲賮乇丿賴賲 賵賷禺卮賵賳 兀賳 賷賮氐丨賵丕 賱兀賯乇丕賳賴賲 毓賲丕 賷爻丕賵乇賴賲
January 4, 2021
Most of science as we know it, as it was made in the first place, and as we learned about it in school is linear. That is we have a problem, which was successfully translated into an equation where the outputs are obtained by multiplying the inputs by a certain factor, while keeping everything in the first degree. Now of course in real life, things are much difficult, in many cases there are parameters which appear in both sides of the equation, making it second degree, a famous example being friction in the pendulum problem, which we disregard so often to keep things simple. The paradox is that although nonlinearity is almost the standard form in which Nature manifests itself to us, the entire tradition of Science, is based on transforming nonlinear systems to linear ones, creating an arsenal of mathematical tricks to do that, even worse, these complexities are viewed as 鈥榥oises鈥�, 鈥榠rregularities鈥�, something which ideally should not be there in the first place. This book tells of the journey of these scientists who challenged this mindset, and went to venture in this unexplored territories of science.
The research which will lead to the field the author calls Chaos appeared throughout so many disciplines, and spanned for the entire second half of the 20th century. From Meteorology, to Physics, then Mathematics, Astronomy, hydrodynamics, and finally Biology by the 80s. It started by individuals who pushed linearity to its limit. Now once the system is no longer periodic or predictable, we expect an erratic behavior which follows no pattern at all. The big surprise is that this was not the case, what we find instead is an order inside of disorder. Chaotic patterns which resembles each other but never repeat themselves identically, and thus the system never regains its periodicity. Another fascinating discovery is the extreme dependence on initial conditions, minor differences in inputs produce vastly different responses from the system, yet these responses preserves the same orderly chaotic pattern.
This strange results were of great interest to mathematicians, especially topologists, who study shapes. Their work led to other new discoveries, the most important of them is their independence from scale. The more you zoom in, the more they repeat themselves in the same manner. They called them Fractals. They gravitate around a state of equilibrium which they called a strange Attractor. its Universality was also proven. Thus a fair mathematical description was achieved eventually, but it was not in the traditional sense. In fact, most of the mathematics was experimental, which means by computer. Since most of mathematics was done by proof, this was very new inside of the field itself, and quit the breakthrough. At the same time, it was received with suspicion, after all it lacked a solid link with the natural world, and some thought of it as some kind of geometrical shapes obtained by someone playing with a computer.
To tackle this issue, physicists looked at Turbulence, being the complex phenomenon par excellence, an analogy between the start of turbulence in a stream and the phase transition of liquids provided a good start. With experimentation, finally a solid physical reality was given to this mathematical theorem. This would have not been possible without so many detours from other disciplines, such as Information Theory and Thermodynamics鈥�
Now that these kind of doing science was quit established, other disciplines began to join the league, looking for solutions to problems which they previously lacked the adequate tools. Economists studying prices fluctuating in stock markets, ecologists predicting population growth and explaining massive extinctions, and finally physiologists trying to cure abnormal heart arrhythmia. With this vast array of applications, it is only the dawn of the Science of Chaos.
In the end, this was definitely a very light and fun read and that is quit the reason it is so popular. A great piece of journalistic popular science. However, the too many personal anecdotes and unrelated biographical details were too much for my taste. I which that time was invested in digging in more details on the subject.
The research which will lead to the field the author calls Chaos appeared throughout so many disciplines, and spanned for the entire second half of the 20th century. From Meteorology, to Physics, then Mathematics, Astronomy, hydrodynamics, and finally Biology by the 80s. It started by individuals who pushed linearity to its limit. Now once the system is no longer periodic or predictable, we expect an erratic behavior which follows no pattern at all. The big surprise is that this was not the case, what we find instead is an order inside of disorder. Chaotic patterns which resembles each other but never repeat themselves identically, and thus the system never regains its periodicity. Another fascinating discovery is the extreme dependence on initial conditions, minor differences in inputs produce vastly different responses from the system, yet these responses preserves the same orderly chaotic pattern.
This strange results were of great interest to mathematicians, especially topologists, who study shapes. Their work led to other new discoveries, the most important of them is their independence from scale. The more you zoom in, the more they repeat themselves in the same manner. They called them Fractals. They gravitate around a state of equilibrium which they called a strange Attractor. its Universality was also proven. Thus a fair mathematical description was achieved eventually, but it was not in the traditional sense. In fact, most of the mathematics was experimental, which means by computer. Since most of mathematics was done by proof, this was very new inside of the field itself, and quit the breakthrough. At the same time, it was received with suspicion, after all it lacked a solid link with the natural world, and some thought of it as some kind of geometrical shapes obtained by someone playing with a computer.
To tackle this issue, physicists looked at Turbulence, being the complex phenomenon par excellence, an analogy between the start of turbulence in a stream and the phase transition of liquids provided a good start. With experimentation, finally a solid physical reality was given to this mathematical theorem. This would have not been possible without so many detours from other disciplines, such as Information Theory and Thermodynamics鈥�
Now that these kind of doing science was quit established, other disciplines began to join the league, looking for solutions to problems which they previously lacked the adequate tools. Economists studying prices fluctuating in stock markets, ecologists predicting population growth and explaining massive extinctions, and finally physiologists trying to cure abnormal heart arrhythmia. With this vast array of applications, it is only the dawn of the Science of Chaos.
In the end, this was definitely a very light and fun read and that is quit the reason it is so popular. A great piece of journalistic popular science. However, the too many personal anecdotes and unrelated biographical details were too much for my taste. I which that time was invested in digging in more details on the subject.
January 12, 2018
Gosh, I was rather rude about this one, wasn't I? I'm moving the rating up a bit after my re-read (on audio) because it wasn't that bad, although I still think it's a bit overrated.
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James Gleick's Chaos is possibly one of the most overrated books ever written. The first two pages are quite good, before rapidly declining to dullness and staying there. The content consists of a few badly written half-biographies, a few pretty pictures and vignettes of science, and no worthwhile mathematics whatsoever. The result is neither interesting nor informative.
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James Gleick's Chaos is possibly one of the most overrated books ever written. The first two pages are quite good, before rapidly declining to dullness and staying there. The content consists of a few badly written half-biographies, a few pretty pictures and vignettes of science, and no worthwhile mathematics whatsoever. The result is neither interesting nor informative.
August 15, 2019
This book, over two decades old now, is one of the great classics of science popularization. It was a blockbuster bestseller at the time, and it's still well worth reading, a fascinating, enjoyable introduction to one of the most important scientific developments of our time--the birth of chaos theory.
One of the compelling features of the chaos story is that this scientific breakthrough wasn't a physics, mathematics, chemistry, astronomy, or biology breakthrough; it was all of them. A mathematician turned meteorologist, Edward Lorenz, builds a "toy weather" on what's still a fairly early computer in the early 1960s, and in working with the parameters, concludes that long-term weather forecasting is doomed--a simple deterministic system is producing unpredictable results. Mitchell Feigenbaum, a theoretical physicist at Los Alamos in the early seventies, and two other scientists working together independently of him, are working on the problem of turbulence and.discover that it doesn't, as anticipated, build up gradually in an orderly manner. Reach the tipping point, and there it is.
Beloit Mandelbrot, an IBM mathematician working with an equation that produces fractals, arrives to give a presentation to an economics class and finds "his" equation already on the board; the patterns he's found in pure math also apply in economics, the reproductive rates and numbers of animal populations, and countless other places.
In each field, also, the initial work was most often either resisted or ignored. Precisely because chaos was popping up all over, with just a few people in each of many different scientific fields, it was easy for scientists in any field to notice a paper or presentation, note the fact that is was completely different from the methods, logic, math that had relevance for their own work, that much of the work was in fact being done in other fields--and dismiss it. For new doctoral students, there were no mentors in chaos theory, no jobs, no journals devoted to chaos theory. It completely upended ideas about how the natural world worked. It was heady, exciting--and much harder to explain than to demonstrate. Much of what the first generation of chaos scientists did is incredibly easy to demonstrate with a laptop computer today--but most of these chaos pioneers were working with handheld calculators, mainframe computers with dump terminals and limited and unreliable access for something so peripheral to the institution's perceived mission, computers whose only output device was a plotter.
Gleick very effectively conveys the science, the excitement the early scientists working on it felt, and the challenges that faced them.
Highly recommended.
One of the compelling features of the chaos story is that this scientific breakthrough wasn't a physics, mathematics, chemistry, astronomy, or biology breakthrough; it was all of them. A mathematician turned meteorologist, Edward Lorenz, builds a "toy weather" on what's still a fairly early computer in the early 1960s, and in working with the parameters, concludes that long-term weather forecasting is doomed--a simple deterministic system is producing unpredictable results. Mitchell Feigenbaum, a theoretical physicist at Los Alamos in the early seventies, and two other scientists working together independently of him, are working on the problem of turbulence and.discover that it doesn't, as anticipated, build up gradually in an orderly manner. Reach the tipping point, and there it is.
Beloit Mandelbrot, an IBM mathematician working with an equation that produces fractals, arrives to give a presentation to an economics class and finds "his" equation already on the board; the patterns he's found in pure math also apply in economics, the reproductive rates and numbers of animal populations, and countless other places.
In each field, also, the initial work was most often either resisted or ignored. Precisely because chaos was popping up all over, with just a few people in each of many different scientific fields, it was easy for scientists in any field to notice a paper or presentation, note the fact that is was completely different from the methods, logic, math that had relevance for their own work, that much of the work was in fact being done in other fields--and dismiss it. For new doctoral students, there were no mentors in chaos theory, no jobs, no journals devoted to chaos theory. It completely upended ideas about how the natural world worked. It was heady, exciting--and much harder to explain than to demonstrate. Much of what the first generation of chaos scientists did is incredibly easy to demonstrate with a laptop computer today--but most of these chaos pioneers were working with handheld calculators, mainframe computers with dump terminals and limited and unreliable access for something so peripheral to the institution's perceived mission, computers whose only output device was a plotter.
Gleick very effectively conveys the science, the excitement the early scientists working on it felt, and the challenges that faced them.
Highly recommended.
August 27, 2008
The greatest discoveries of the 20th Century physics include Relativity Theory, Quantum Theory and Chaos Theory. Of the three, the only one that we can see and play with is chaos. From the flight patterns of flocks of birds, to heart arrhythmia, to stock market fluctuation to the coast of Alaska, the underlying patterns can be revealed in this wonderful branch of science. There are newer books on the subject but none better for us lay people.
September 3, 2016
( 賳馗乇賷丞 丕賱賰丕賷賵爻 兀賵 丕賱卮賵丕卮)-鬲毓丿 兀丨丿 兀賴賲 丕賱孬賵乇丕鬲 丕賱毓賱賲賷丞 賮賷 丕賱賯乇賳 丕賱毓卮乇賷賳 賵丕賱毓賱賲 丕賱丨丿賷孬.
丕匕 鬲毓鬲亘乇 孬丕賱孬 兀賴賲 賳馗乇賷丞 亘毓丿 丕賱賳爻亘賷丞 賱丌賷賳卮鬲丕賷賳 賵丕賱賳馗乇賷丞 丕賱賰賲賵賲賷丞( 賲賷賰丕賳賷賰丕 丕賱賰賲).
鈥�
丕卮鬲賴乇鬲 丕賱賳馗乇賷丞 亘丕爻賲 芦兀孬乇 噩賳丕丨 丕賱賮乇丕卮丞禄
丕賱匕賷 乇丕噩 兀賵賱丕賸 賮賷 兀賵爻丕胤 禺亘乇丕亍 丕賱胤賯爻- 賵 鬲賯賵賱 兀賳 乇賮丞 噩賳丕丨 賮乇丕卮丞 賮賵賯 亘賷噩賷賳睾 鬲爻鬲胤賷毓 兀賳 鬲睾賷乇 賳馗丕賲 丕賱毓賵丕氐賮 賮賵賯 賳賷賵賷賵乇賰. 賵丨爻亘 丕賱賲丐賱賮 鬲毓賵丿 兀氐賵賱 賴匕賴 丕賱賳馗乇賷丞 賱兀毓賲丕賱 賮賰乇賷丞 毓丿丞 賮賷 鬲丕乇賷禺 丕賱毓賱賲 賵丕賱孬賯丕賮丞 .
睾賷乇鬲 丕賱賳馗乇賷丞 丕賱賰孬賷乇 賮賷 丕賱兀爻爻 丕賱賮賰乇賷丞 賵丕賱賲賳賴噩賷丞 丕賱鬲賯賱賷丿賷丞 丕賱賲鬲亘毓丞貙 賮賴賷 鬲丿丨囟 賲夭丕毓賲 丕賱丨鬲賲賷丞 賵丕賱賲丨賰賲 賮賷 丕賱毓賱賲.
鈥徺佡冐з� 賱賴丕 兀孬乇 賰亘賷乇 賮賷 鬲胤賵乇 丕賱賮賷夭賷丕亍 丕賱賳馗乇賷丞貙 賵賰匕丕 丕賱乇賷丕囟賷丕鬲 賰賲丕 兀孬乇鬲 賵兀賱賴賲鬲 丕賱兀丿亘.
鬲丨丕賵賱 賴匕賴 丕賱賳馗乇賷丞 丕賱賵氐賵賱 廿賱賶 丕賱賲爻丕乇丕鬲 丕賱禺賮賷丞 賲賳 丕賱卮賷亍 丕賱馗丕賴乇( 丕賱賳馗丕賲 丕賱禺賮賷 ) 賵賲丕 鬲賳胤賵賷 毓賱賷賴 賲賳 睾賲賵囟貙 賱賱鬲毓乇賮 毓賱賶 兀爻乇丕乇賴 賵丌賱賷丕鬲賴 賮賷 鬲卮賰賷賱 丕賱賳馗丕賲 賵丕賱孬亘丕鬲 丕賱馗丕賴乇 賱賱毓賷丕賳 賱賵囟毓 賯賵丕毓丿 賵兀爻爻 賱丿乇丕爻鬲賴 .
鬲賯賵賱 賴匕賴 丕賱賳馗乇賷丞 亘兀賳 噩賲賷毓 丕賱兀卮賷丕亍 賲賳 丨賵賱賳丕" 丕賱馗賵丕賴乇 丕賱賲毓賯丿丞 賮賷 丕賱丨賷丕丞 丕賱賷賵賲賷丞" 亘賲丕賮賷賴丕 丕賱廿賳爻丕賳 鬲卮賰賱" 賳賵毓 賲賳 丕賱賳馗丕賲 賲賳 丿賵賳 賳爻賯 丿賵乇賷." 亘賲毓賳賶 丌禺乇貨 丕賱賳馗賲 丕賱丨賷丞 鬲鬲睾賷乇 亘丕爻鬲賲乇丕乇.
賮廿賳 賲丕 賷亘丿賵 亘爻賷胤丕賸 賱賱毓賷賳 賰賲丿乇賰 賷賳胤賵賷 毓賱賶 鬲毓賯賷丿 賵鬲卮賵賷卮 賵丕賴鬲夭丕夭 賮賷 亘丕胤賳賴.
鈥�
廿匕丕賸 賳禺賱氐 賲賳 賴匕賴 丕賱賳馗乇賷丞 亘兀賳 丕賱賵丕賯毓 賵丕賱丨賷丕丞 賰賳馗丕賲 丿賷賳丕賲賷賰賷 賲毓賯丿 賲丕賴賵 廿賱丕 "鬲賵丕夭賳 丿賯賷賯 亘賷賳 賯賵賶 丕賱丕爻鬲賯乇丕乇 賵丕賱賮賵囟賶 ."
賳馗乇賷丞 丕賱賮賵囟賶 賳馗乇賷丞 賱賰賱 丕賱毓賱賵賲. 賲賳丨鬲 丕賱廿賳爻丕賳 賳馗乇丞 賵乇丐賶 賲禺鬲賱賮丞 賱賱毓丕賱賲 賵丕賱兀卮賷丕亍 賲賳 丨賵賱賴.
丕匕 鬲毓鬲亘乇 孬丕賱孬 兀賴賲 賳馗乇賷丞 亘毓丿 丕賱賳爻亘賷丞 賱丌賷賳卮鬲丕賷賳 賵丕賱賳馗乇賷丞 丕賱賰賲賵賲賷丞( 賲賷賰丕賳賷賰丕 丕賱賰賲).
鈥�
丕卮鬲賴乇鬲 丕賱賳馗乇賷丞 亘丕爻賲 芦兀孬乇 噩賳丕丨 丕賱賮乇丕卮丞禄
丕賱匕賷 乇丕噩 兀賵賱丕賸 賮賷 兀賵爻丕胤 禺亘乇丕亍 丕賱胤賯爻- 賵 鬲賯賵賱 兀賳 乇賮丞 噩賳丕丨 賮乇丕卮丞 賮賵賯 亘賷噩賷賳睾 鬲爻鬲胤賷毓 兀賳 鬲睾賷乇 賳馗丕賲 丕賱毓賵丕氐賮 賮賵賯 賳賷賵賷賵乇賰. 賵丨爻亘 丕賱賲丐賱賮 鬲毓賵丿 兀氐賵賱 賴匕賴 丕賱賳馗乇賷丞 賱兀毓賲丕賱 賮賰乇賷丞 毓丿丞 賮賷 鬲丕乇賷禺 丕賱毓賱賲 賵丕賱孬賯丕賮丞 .
睾賷乇鬲 丕賱賳馗乇賷丞 丕賱賰孬賷乇 賮賷 丕賱兀爻爻 丕賱賮賰乇賷丞 賵丕賱賲賳賴噩賷丞 丕賱鬲賯賱賷丿賷丞 丕賱賲鬲亘毓丞貙 賮賴賷 鬲丿丨囟 賲夭丕毓賲 丕賱丨鬲賲賷丞 賵丕賱賲丨賰賲 賮賷 丕賱毓賱賲.
鈥徺佡冐з� 賱賴丕 兀孬乇 賰亘賷乇 賮賷 鬲胤賵乇 丕賱賮賷夭賷丕亍 丕賱賳馗乇賷丞貙 賵賰匕丕 丕賱乇賷丕囟賷丕鬲 賰賲丕 兀孬乇鬲 賵兀賱賴賲鬲 丕賱兀丿亘.
鬲丨丕賵賱 賴匕賴 丕賱賳馗乇賷丞 丕賱賵氐賵賱 廿賱賶 丕賱賲爻丕乇丕鬲 丕賱禺賮賷丞 賲賳 丕賱卮賷亍 丕賱馗丕賴乇( 丕賱賳馗丕賲 丕賱禺賮賷 ) 賵賲丕 鬲賳胤賵賷 毓賱賷賴 賲賳 睾賲賵囟貙 賱賱鬲毓乇賮 毓賱賶 兀爻乇丕乇賴 賵丌賱賷丕鬲賴 賮賷 鬲卮賰賷賱 丕賱賳馗丕賲 賵丕賱孬亘丕鬲 丕賱馗丕賴乇 賱賱毓賷丕賳 賱賵囟毓 賯賵丕毓丿 賵兀爻爻 賱丿乇丕爻鬲賴 .
鬲賯賵賱 賴匕賴 丕賱賳馗乇賷丞 亘兀賳 噩賲賷毓 丕賱兀卮賷丕亍 賲賳 丨賵賱賳丕" 丕賱馗賵丕賴乇 丕賱賲毓賯丿丞 賮賷 丕賱丨賷丕丞 丕賱賷賵賲賷丞" 亘賲丕賮賷賴丕 丕賱廿賳爻丕賳 鬲卮賰賱" 賳賵毓 賲賳 丕賱賳馗丕賲 賲賳 丿賵賳 賳爻賯 丿賵乇賷." 亘賲毓賳賶 丌禺乇貨 丕賱賳馗賲 丕賱丨賷丞 鬲鬲睾賷乇 亘丕爻鬲賲乇丕乇.
賮廿賳 賲丕 賷亘丿賵 亘爻賷胤丕賸 賱賱毓賷賳 賰賲丿乇賰 賷賳胤賵賷 毓賱賶 鬲毓賯賷丿 賵鬲卮賵賷卮 賵丕賴鬲夭丕夭 賮賷 亘丕胤賳賴.
鈥�
廿匕丕賸 賳禺賱氐 賲賳 賴匕賴 丕賱賳馗乇賷丞 亘兀賳 丕賱賵丕賯毓 賵丕賱丨賷丕丞 賰賳馗丕賲 丿賷賳丕賲賷賰賷 賲毓賯丿 賲丕賴賵 廿賱丕 "鬲賵丕夭賳 丿賯賷賯 亘賷賳 賯賵賶 丕賱丕爻鬲賯乇丕乇 賵丕賱賮賵囟賶 ."
賳馗乇賷丞 丕賱賮賵囟賶 賳馗乇賷丞 賱賰賱 丕賱毓賱賵賲. 賲賳丨鬲 丕賱廿賳爻丕賳 賳馗乇丞 賵乇丐賶 賲禺鬲賱賮丞 賱賱毓丕賱賲 賵丕賱兀卮賷丕亍 賲賳 丨賵賱賴.
May 26, 2024
I remember learning about the Butterfly Effect for the first time when I watched a movie starring Ashton Kutcher which shares the same name.
This book is almost 40(!) years old now but seems to have held up extremely well over time.
I think James Gleick should be a reference exemplar for science writing.
He manages to straddle the extremely fine line where the technical explanations are either too dense or too dumbed down to deliver accessible explanations of phenomena.
His narration of historical events related to the development of this field are engaging as they are not just a chronicle of milestones but an dissection of the motivations of the major contributors.
So what is Chaos then?
What we've learned in high school physics and mathematics are "linear systems" and are actually applicable to a very small number of real world applications.
Given the initial conditions of these systems (e.g. mass, velocity etc of a planet), scientists can make very good predictions. Such as when they predict the next time a comet appears with margins of error less than seconds.
However, they are many systems that are "non-linear" where even when you know the initial conditions of the system, it is impossible build predictions about the future except for maybe a very short initial time window.
The best example of a non-linear system is the weather. But there are lots of other systems that are chaotic - turbulence in fluids, stock markets, the body's immune system etc
The predictions are hard because in non-linear systems, small differences in initial conditions lead to large difference in the future state of these systems.
And measurement tools never have 100% precision - which doesn't matter in linear system as small differences in initial conditions lead to small differences in future state of the system.
But it matters greatly in n0n-linear systems. For a long time, these chaotic systems were assumed to be random but in the 1960s, scientists began to show that they had a "orderly chaos" to them.
Work continues this day to identify and classify chaotic systems in various fields such as biology, ecology, physiology, neurology and hopefully, one day, build models that can predict their future states with considerable precision.
Sharing my notes (Google Document)
This book is almost 40(!) years old now but seems to have held up extremely well over time.
I think James Gleick should be a reference exemplar for science writing.
He manages to straddle the extremely fine line where the technical explanations are either too dense or too dumbed down to deliver accessible explanations of phenomena.
His narration of historical events related to the development of this field are engaging as they are not just a chronicle of milestones but an dissection of the motivations of the major contributors.
So what is Chaos then?
What we've learned in high school physics and mathematics are "linear systems" and are actually applicable to a very small number of real world applications.
Given the initial conditions of these systems (e.g. mass, velocity etc of a planet), scientists can make very good predictions. Such as when they predict the next time a comet appears with margins of error less than seconds.
However, they are many systems that are "non-linear" where even when you know the initial conditions of the system, it is impossible build predictions about the future except for maybe a very short initial time window.
The best example of a non-linear system is the weather. But there are lots of other systems that are chaotic - turbulence in fluids, stock markets, the body's immune system etc
The predictions are hard because in non-linear systems, small differences in initial conditions lead to large difference in the future state of these systems.
And measurement tools never have 100% precision - which doesn't matter in linear system as small differences in initial conditions lead to small differences in future state of the system.
But it matters greatly in n0n-linear systems. For a long time, these chaotic systems were assumed to be random but in the 1960s, scientists began to show that they had a "orderly chaos" to them.
Work continues this day to identify and classify chaotic systems in various fields such as biology, ecology, physiology, neurology and hopefully, one day, build models that can predict their future states with considerable precision.
Sharing my notes (Google Document)
May 18, 2014
When reading science books, it's difficult to know whether what you're reading is current or not. Gleick's book was first published in 1987, so I imagine by now there have been many developments and modifications to the ideas and theories presented here. That being said, this felt like a good introduction to the early history of scientists' efforts to understand and explain nonlinear systems and the apparent chaotic behavior observed in natural and man-made systems.
If you haven't studied science or mathematics beyond the basics taught in U.S. high schools, this book will be a challenge, but if you have an understanding of equations, geometry, and scientific research methods, you should be able to understand everything Gleick discusses here.
I enjoyed this investigation of the order underlying what we perceive as disorder, especially fractals. If I had the time, I'd like to run the calculations myself, as they seem within the reach of anyone with a laptop. Maybe this summer....
If you haven't studied science or mathematics beyond the basics taught in U.S. high schools, this book will be a challenge, but if you have an understanding of equations, geometry, and scientific research methods, you should be able to understand everything Gleick discusses here.
I enjoyed this investigation of the order underlying what we perceive as disorder, especially fractals. If I had the time, I'd like to run the calculations myself, as they seem within the reach of anyone with a laptop. Maybe this summer....
May 19, 2020
4 Stars for Chaos: Making A New Science (audiobook) by James Gleik read by Rob Shapiro. I find it fascinating to see how science is progressing. Such a new idea is changing the way we look at the world.
November 8, 2010
Not so much a new science as an old obsession of a few mystics... :(
Gleick gives an unorganized overview some fun mathematical concepts like fractals, strange attractors, and chaos theory.
But he exaggerates the importance of these topics, presenting them as a holistic revolution in physics, overthrowing reductionism, which just isn't the case.
The last chapter was incomprehensible hippie mysticism, then the book just ended leaving me wondering what the whole point was.
It seems to me like this book represents a time in history before people had gotten accustom to handling complexity and information theory in computers. Having grown up with a computer, I found most points argued in this book painfully obvious common sense.
Gleick gives an unorganized overview some fun mathematical concepts like fractals, strange attractors, and chaos theory.
But he exaggerates the importance of these topics, presenting them as a holistic revolution in physics, overthrowing reductionism, which just isn't the case.
The last chapter was incomprehensible hippie mysticism, then the book just ended leaving me wondering what the whole point was.
It seems to me like this book represents a time in history before people had gotten accustom to handling complexity and information theory in computers. Having grown up with a computer, I found most points argued in this book painfully obvious common sense.
April 4, 2024
James Gleick 鈥� Caos
Este era um livro que h谩 muito aguardava na estante para ser lido. Guardava-o como uma guloseima para saborear a espectativa at茅 脿 sua concretiza莽茫o.
Ora, como quase sempre quando as espectativas s茫o elevadas o risco de desilus茫o 茅 grande. E foi assim, desde as primeiras p谩ginas que o senti, como uma desilus茫o.
Desilus茫o pela forma como est谩 escrito, com pouco rigor, abusando das cita莽玫es e express玫es matem谩ticas que para o p煤blico em geral s茫o muitas vezes incompreens铆veis, misturando atabalhoadamente dados biogr谩ficos com o trabalho desenvolvido, sem grande l贸gica nos cap铆tulos e na sua sequencia莽茫o, sem uma harmonia que nos permita chegar ao final e dizer, a mensagem, 茅 esta!
Posso mesmo dizer que sem as pesquisas adicionais ficaria muito longe de compreender muito do livro e a natureza da sua principal mensagem. 脡 um livro confuso, mal escrito e de leitura muito dif铆cil, mas que contudo, e apesar destas cr铆ticas teve a utilidade de ajudar a desbravar este tema.
H谩 muito que me interrogo sobre a repeti莽茫o das formas na natureza. Basta andar de avi茫o a baixa altitude e observar as copas das arvores a formarem um padr茫o, que para quem conhece as culturas das placas de Petri, n茫o pode deixar de ficar impressionado com as semelhan莽as. H谩 no mundo algo profundamente oculto, longe da vista que nos surpreende pela sua repeti莽茫o desde as escalas micro at茅 as mais macro quando observamos imagens de gal谩xias distantes. Toda este repeti莽茫o da geometria, toda esta fractualidade 鈥� um termo cujo significado aprendi neste livro, deve ser resultado de algo oculto. Ora bem, era a resposta a esta quest茫o o que procurava da leitura deste livro, e foi esse o principal motivo de desilus茫o. 脡 que para um livro publicado em 2005 na sua terceira edi莽茫o (a primeira 茅 de 1987) deveria ser um pouco mais curioso na demanda de respostas a estes tipos de quest玫es.
E efectivamente, se o universo tem um comportamento determinista, mas um tipo de determinismo em que frequentemente uma causa n茫o implica sempre a mesma consequ锚ncia, 茅 algo que nos deve intrigar.
O livro de james Gleick tenta responder a este tipo de quest玫es pelo lado da matem谩tica e das equa莽玫es n茫o-lineares, sugerindo que o nosso universo 茅 o resultado dessas ou de outras express玫es matem谩ticas, mas n茫o o 茅! A matem谩tica 茅 uma linguagem com a qual podemos descrever o mundo, n茫o o inverso, insistir nisso 茅 um erro calamitoso. Pensar que uma dada express茫o matem谩tica pode ter um dado desempenho, ent茫o o mundo tamb茅m dever谩 ter esse tipo de comportamento.
Foi isso que senti ao longo do livro, um conjunto de ideias matem谩ticas 脿 procura de uma aplica莽茫o no mundo real. E se essa aplicabilidade parece real em alguns dom铆nios como a meteorologia, as transi莽玫es de estado, as emerg锚ncias, as j谩 outros dom铆nios onde tenta ser aplicada como na sociologia, na epidemiologia ou no estudos dos mercados, estas equa莽玫es n茫o lineares correspondem a uma das vari谩veis que controlam estes sistemas complexos, mas est茫o longe de os explicar na sua globalidade.
J谩 a tentativa de explicar alguns dos comportamento da biologia como o sistema imunol贸gico, as epidemias e perturba莽玫es neurol贸gicas e psiqui谩tricas com base nestas teorias e nas equa莽玫es n茫o-lineares, 茅 no m铆nimo absurdo.
Apesar dos v谩rios aspectos negativos que lhe apontei acabei por o classificar com 4 estrelas, e se o fiz foi porque apesar de tudo o texto compila um conjunto de informa莽茫o muito dispersa, e que dificilmente se encontra acess铆vel num s贸 local.
Em resumo, a melhor divulga莽茫o cient铆fica n茫o deve apenas comunicar informa莽茫o, mas deve tamb茅m inspirar e expandir nossa compreens茫o do mundo de forma acess铆vel e significativas.
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James Gleick - Chaos
This was a book that had long been waiting on the shelf to be read. I kept it like a treat, savoring the anticipation until its realization. However, as is almost always the case when expectations are high, the risk of disappointment is great. And so it was, from the first pages I felt it, as a disappointment. Disappointment because it is written, with poor rigor, using excessively quotations and mathematical expressions that are often incomprehensible to the general public, clumsily mixing biographical data with the developed work, without great logic in the chapters and their sequencing, without a harmony that allows us to reach the end and understand the message. I can even say that without additional research I could not understand the nature of the main message. It is a confusing book, poorly written, and very difficult to read, but nonetheless, and despite these criticisms, it was useful in helping to pioneer this topic.
I have long wondered about the repetition of shapes in nature. Just fly at low altitude and observe the treetops forming a pattern, which for those familiar with Petri dish cultures, cannot help but be impressed by the similarities. There is something deeply hidden in the world, far from sight that surprises us with its repetition from micro to macro scales when we observe images of distant galaxies. All this repetition of geometry, all this fractality - a term whose meaning I learned in this book, must be the result of something hidden. Well, it was the answer to this question that I sought from reading this book, and that was the main reason for disappointment. For a book published in 2005 in its third edition (the first is from 1987), it should be a bit more curious in seeking answers to these types of questions.
Indeed, if the universe has a deterministic behavior, but a type of determinism in which often a cause does not always imply the same consequence, it is something that should intrigue us. James Gleick's book attempts to answer these kinds of questions from the side of mathematics and nonlinear equations, suggesting that our universe is the result of these or other mathematical expressions, but it is not! Mathematics is a language with which we can describe the world, not the reverse is a calamitous error. To think that a given mathematical expression can have a given performance, then the world should also have that type of behavior.
That was what I felt throughout the book, a set of mathematical ideas in search of an application in the real world. And if this applicability seems real in some domains like meteorology, state transitions, emergencies, there are other domains where it tries to be applied like in sociology, epidemiology, or market studies, these nonlinear equations correspond to one of the variables that control these complex systems but are far from explaining them in their entirety. The attempt to explain some of the behavior of biology like the immune system, epidemics, and neurological and psychiatric disturbances based on these theories and nonlinear equations is at least absurd.
Despite the various negative aspects I pointed out, I ended up rating it with 4 stars, and if I did it was because, after all, the text compiles a set of very dispersed information, which is hardly accessible in one place.
In summary, the best scientific communication should not only convey information but should also inspire and broaden our understanding of the world in an accessible and meaningful way.
Este era um livro que h谩 muito aguardava na estante para ser lido. Guardava-o como uma guloseima para saborear a espectativa at茅 脿 sua concretiza莽茫o.
Ora, como quase sempre quando as espectativas s茫o elevadas o risco de desilus茫o 茅 grande. E foi assim, desde as primeiras p谩ginas que o senti, como uma desilus茫o.
Desilus茫o pela forma como est谩 escrito, com pouco rigor, abusando das cita莽玫es e express玫es matem谩ticas que para o p煤blico em geral s茫o muitas vezes incompreens铆veis, misturando atabalhoadamente dados biogr谩ficos com o trabalho desenvolvido, sem grande l贸gica nos cap铆tulos e na sua sequencia莽茫o, sem uma harmonia que nos permita chegar ao final e dizer, a mensagem, 茅 esta!
Posso mesmo dizer que sem as pesquisas adicionais ficaria muito longe de compreender muito do livro e a natureza da sua principal mensagem. 脡 um livro confuso, mal escrito e de leitura muito dif铆cil, mas que contudo, e apesar destas cr铆ticas teve a utilidade de ajudar a desbravar este tema.
H谩 muito que me interrogo sobre a repeti莽茫o das formas na natureza. Basta andar de avi茫o a baixa altitude e observar as copas das arvores a formarem um padr茫o, que para quem conhece as culturas das placas de Petri, n茫o pode deixar de ficar impressionado com as semelhan莽as. H谩 no mundo algo profundamente oculto, longe da vista que nos surpreende pela sua repeti莽茫o desde as escalas micro at茅 as mais macro quando observamos imagens de gal谩xias distantes. Toda este repeti莽茫o da geometria, toda esta fractualidade 鈥� um termo cujo significado aprendi neste livro, deve ser resultado de algo oculto. Ora bem, era a resposta a esta quest茫o o que procurava da leitura deste livro, e foi esse o principal motivo de desilus茫o. 脡 que para um livro publicado em 2005 na sua terceira edi莽茫o (a primeira 茅 de 1987) deveria ser um pouco mais curioso na demanda de respostas a estes tipos de quest玫es.
E efectivamente, se o universo tem um comportamento determinista, mas um tipo de determinismo em que frequentemente uma causa n茫o implica sempre a mesma consequ锚ncia, 茅 algo que nos deve intrigar.
O livro de james Gleick tenta responder a este tipo de quest玫es pelo lado da matem谩tica e das equa莽玫es n茫o-lineares, sugerindo que o nosso universo 茅 o resultado dessas ou de outras express玫es matem谩ticas, mas n茫o o 茅! A matem谩tica 茅 uma linguagem com a qual podemos descrever o mundo, n茫o o inverso, insistir nisso 茅 um erro calamitoso. Pensar que uma dada express茫o matem谩tica pode ter um dado desempenho, ent茫o o mundo tamb茅m dever谩 ter esse tipo de comportamento.
Foi isso que senti ao longo do livro, um conjunto de ideias matem谩ticas 脿 procura de uma aplica莽茫o no mundo real. E se essa aplicabilidade parece real em alguns dom铆nios como a meteorologia, as transi莽玫es de estado, as emerg锚ncias, as j谩 outros dom铆nios onde tenta ser aplicada como na sociologia, na epidemiologia ou no estudos dos mercados, estas equa莽玫es n茫o lineares correspondem a uma das vari谩veis que controlam estes sistemas complexos, mas est茫o longe de os explicar na sua globalidade.
J谩 a tentativa de explicar alguns dos comportamento da biologia como o sistema imunol贸gico, as epidemias e perturba莽玫es neurol贸gicas e psiqui谩tricas com base nestas teorias e nas equa莽玫es n茫o-lineares, 茅 no m铆nimo absurdo.
Apesar dos v谩rios aspectos negativos que lhe apontei acabei por o classificar com 4 estrelas, e se o fiz foi porque apesar de tudo o texto compila um conjunto de informa莽茫o muito dispersa, e que dificilmente se encontra acess铆vel num s贸 local.
Em resumo, a melhor divulga莽茫o cient铆fica n茫o deve apenas comunicar informa莽茫o, mas deve tamb茅m inspirar e expandir nossa compreens茫o do mundo de forma acess铆vel e significativas.
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James Gleick - Chaos
This was a book that had long been waiting on the shelf to be read. I kept it like a treat, savoring the anticipation until its realization. However, as is almost always the case when expectations are high, the risk of disappointment is great. And so it was, from the first pages I felt it, as a disappointment. Disappointment because it is written, with poor rigor, using excessively quotations and mathematical expressions that are often incomprehensible to the general public, clumsily mixing biographical data with the developed work, without great logic in the chapters and their sequencing, without a harmony that allows us to reach the end and understand the message. I can even say that without additional research I could not understand the nature of the main message. It is a confusing book, poorly written, and very difficult to read, but nonetheless, and despite these criticisms, it was useful in helping to pioneer this topic.
I have long wondered about the repetition of shapes in nature. Just fly at low altitude and observe the treetops forming a pattern, which for those familiar with Petri dish cultures, cannot help but be impressed by the similarities. There is something deeply hidden in the world, far from sight that surprises us with its repetition from micro to macro scales when we observe images of distant galaxies. All this repetition of geometry, all this fractality - a term whose meaning I learned in this book, must be the result of something hidden. Well, it was the answer to this question that I sought from reading this book, and that was the main reason for disappointment. For a book published in 2005 in its third edition (the first is from 1987), it should be a bit more curious in seeking answers to these types of questions.
Indeed, if the universe has a deterministic behavior, but a type of determinism in which often a cause does not always imply the same consequence, it is something that should intrigue us. James Gleick's book attempts to answer these kinds of questions from the side of mathematics and nonlinear equations, suggesting that our universe is the result of these or other mathematical expressions, but it is not! Mathematics is a language with which we can describe the world, not the reverse is a calamitous error. To think that a given mathematical expression can have a given performance, then the world should also have that type of behavior.
That was what I felt throughout the book, a set of mathematical ideas in search of an application in the real world. And if this applicability seems real in some domains like meteorology, state transitions, emergencies, there are other domains where it tries to be applied like in sociology, epidemiology, or market studies, these nonlinear equations correspond to one of the variables that control these complex systems but are far from explaining them in their entirety. The attempt to explain some of the behavior of biology like the immune system, epidemics, and neurological and psychiatric disturbances based on these theories and nonlinear equations is at least absurd.
Despite the various negative aspects I pointed out, I ended up rating it with 4 stars, and if I did it was because, after all, the text compiles a set of very dispersed information, which is hardly accessible in one place.
In summary, the best scientific communication should not only convey information but should also inspire and broaden our understanding of the world in an accessible and meaningful way.
May 10, 2019
My interest in chaos theory and butterfly effect has been purely philosophical. I guess the idea of alternate reality always intrigues me. May be fueled by its implication in popular culture, movies, or books. First time, when I read Ray Bradbury's "A Sound of Thunder", I was really moved by the idea how something very small might eventually affect something greater at later phases.
I also like two scenes from movies, one from "Mr. Nobody" that rain scene which washed away the address :
And the car accident scene from "The Curious Case of Benjamin Button":
And I have one favorite comic story "Daytripper" which depicts so many alternate deaths a man can die in his life. Actually, really we never know, how many alternate lives we are living every time we have been able to cross one of the busy roads successfully !
I know this implication of butterfly effect in popular culture is often erroneous. Because it's almost always impossible to know what factors actually tipped off a particular system. But there are always chances that changes in initial condition might accumulate into something different. Or they may not - maybe things happen inevitably. However, we have no way to learn!
And somehow I have developed my own version! I don't know when I started this thing, quite unconsciously, I guess. From time to time, on rare occasions, I would form a binary event tree of life and would try to figure out the initial events that accumulated into current condition of life. Obviously, there is no way to know! And obviously I am not trying to figure out what else could have happened! Maybe I am just trying to figure out the initial conditions of a Hidden Markov Model with life's current visible outcome. It's kind of fun! And there is no fixed rule. And you would always end up with a different answer based on where you decide to stop! You could stop looking for answers at personal level or at an impersonal level. It's just fun!
However, apart from all these philosophical implications about life, I really wanted to learn a bit of science behind chaos theory. This is my 2nd attempt at this book almost 2 years later and the book is still uninteresting as it was before. I believe this is one of the most "overrated" books out there. The book is hugely popular, always comes at first when you are looking for recommendations about chaos theory books. So, first time I really had doubts about myself. I thought maybe I am not doing justice to this book. I still had my doubts this time. So, I spent substantial amount of my time behind this book. And I think I have done enough and cannot do anything more for this book.
This is not actually a science book on Chaos thoery, rather a scientific history book about people who worked on Chaos theory. Bits of biographies from here and there and merged in little chapters which actually don't tell you anything useful/ informative about the science of chaos theory. The book is not rigorous at all! And it's really a disappointment! That's it.
I also like two scenes from movies, one from "Mr. Nobody" that rain scene which washed away the address :
And the car accident scene from "The Curious Case of Benjamin Button":
And I have one favorite comic story "Daytripper" which depicts so many alternate deaths a man can die in his life. Actually, really we never know, how many alternate lives we are living every time we have been able to cross one of the busy roads successfully !
I know this implication of butterfly effect in popular culture is often erroneous. Because it's almost always impossible to know what factors actually tipped off a particular system. But there are always chances that changes in initial condition might accumulate into something different. Or they may not - maybe things happen inevitably. However, we have no way to learn!
And somehow I have developed my own version! I don't know when I started this thing, quite unconsciously, I guess. From time to time, on rare occasions, I would form a binary event tree of life and would try to figure out the initial events that accumulated into current condition of life. Obviously, there is no way to know! And obviously I am not trying to figure out what else could have happened! Maybe I am just trying to figure out the initial conditions of a Hidden Markov Model with life's current visible outcome. It's kind of fun! And there is no fixed rule. And you would always end up with a different answer based on where you decide to stop! You could stop looking for answers at personal level or at an impersonal level. It's just fun!
However, apart from all these philosophical implications about life, I really wanted to learn a bit of science behind chaos theory. This is my 2nd attempt at this book almost 2 years later and the book is still uninteresting as it was before. I believe this is one of the most "overrated" books out there. The book is hugely popular, always comes at first when you are looking for recommendations about chaos theory books. So, first time I really had doubts about myself. I thought maybe I am not doing justice to this book. I still had my doubts this time. So, I spent substantial amount of my time behind this book. And I think I have done enough and cannot do anything more for this book.
This is not actually a science book on Chaos thoery, rather a scientific history book about people who worked on Chaos theory. Bits of biographies from here and there and merged in little chapters which actually don't tell you anything useful/ informative about the science of chaos theory. The book is not rigorous at all! And it's really a disappointment! That's it.
October 28, 2015
This book was a disappointment. The author spent too much time in repeating the same terminology and concepts like 'strange attractors' and 'sensitive dependence on initial conditions' and not enough time making it tangible by using real examples that would have made it more meaningful. For instance, what does chaos theory/nonlinear science mean for weather forecasting, predicting asset class returns, crime statistics, economic growth, timing of natural disasters? The author mentions these concepts but without going into lucid examples of what chaos theory implies for them. Because of this, I found the book frustrating - both too complex to really grasp, and too superficial to really provide useful insight into the concept.
In fairness, there was a long gap where I put this book down after having read the first half, so I recognize that I lost the continuity of the narrative. And maybe, just maybe (highly doubtful!!)I'm just not smart enough to get it. Still, a whole lot more could have been done to illustrate the application and implications of the subject. I also didn't care for the tone of the brief profiles of the various physicists and mathematicians - it felt like name-dropping to me.
The few things that kept being used as examples were the motion of water in a stream (fluid dynamics), or air tubulence. The most interesting chapters were the final two, about the possible application to physiology and then a summary of the concept. Maybe those should have been the first two chapters.
September 17, 2018
This was an interesting read. As much about the history of chaos theory and the scientists who pioneered it as the science itself. Contains the obligatory Jurassic Park references (in case you were worried).
July 14, 2014
The kind of book that just blows your mind with how cool it all is, and why doesn't anyone teach science like THIS. Because of this book, and the many delights that have followed, I am a lover of popular science writing. And also, I've learned way more than I ever did in school.
March 16, 2022
For a ~34 year old popular science book, this held up surprisingly well. It avoided dating itself and was interesting throughout. I think anyone remotely curious in science and physics, and in particular topics like uncertainty, randomness, nonlinearities, etc. would enjoy.
I read the 20th anniversary edition. Another book rec name-dropped by someone (forget who) at #RWRI16.
I read the 20th anniversary edition. Another book rec name-dropped by someone (forget who) at #RWRI16.
May 14, 2022
**1/2 rounding up to 3.
Apparently this book made a big splash when it was first published. I remember the excitement around chaos theory and fractals at the time.
While I don't dislike history of science, it was not what I was expecting from this book. Thus I was disappointed that the focus was on a sequence of semi-biographies of the scientists as they discovered aspects of chaos. Admittedly it was rich in stories of key figures and their personalities, but lacking in a clear and concise explanation of chaos.
I also found it unstructured and confusing. Players show up in one chapter, abruptly disappear in the next, and sometimes reappear years (chapters) later. I never knew what was coming and how it was going to fit in to the whole.
The book could have benefited from a lecture style presentation, with clear chapter introductions and summaries, so that I could see how it all fit together, not to mention what year he was currently talking about. Frankly a visual Timeline would have done wonders.
All-in-all it reads like pop-science with constant over-the-top enthusiasm in place of a clear, concise, solid explanation of what chaos is.
Summary:
Simultaneously disappointing, chaotic, disorganized, but occasionally informative.
Read the 1 and 2 star reviews.
I'll be looking for a better book on this fascinating topic.
Apparently this book made a big splash when it was first published. I remember the excitement around chaos theory and fractals at the time.
While I don't dislike history of science, it was not what I was expecting from this book. Thus I was disappointed that the focus was on a sequence of semi-biographies of the scientists as they discovered aspects of chaos. Admittedly it was rich in stories of key figures and their personalities, but lacking in a clear and concise explanation of chaos.
I also found it unstructured and confusing. Players show up in one chapter, abruptly disappear in the next, and sometimes reappear years (chapters) later. I never knew what was coming and how it was going to fit in to the whole.
The book could have benefited from a lecture style presentation, with clear chapter introductions and summaries, so that I could see how it all fit together, not to mention what year he was currently talking about. Frankly a visual Timeline would have done wonders.
All-in-all it reads like pop-science with constant over-the-top enthusiasm in place of a clear, concise, solid explanation of what chaos is.
Summary:
Simultaneously disappointing, chaotic, disorganized, but occasionally informative.
Read the 1 and 2 star reviews.
I'll be looking for a better book on this fascinating topic.
February 9, 2019
When this book came out in the late 80s, I remember eating in the college cafeteria while my physics teacher and fellow students chatted about this mysterious thing called "chaos theory." When I finally picked up my own copy, I wished I'd read it sooner.
The mathemetics of chaos (and order) has literally remade our moder world. From weather prediction to materials production to medicine, there's not a realm of technology that hasn't changed with our new understandings of the patterns that connect us all.
Though a popular science book can only gloss a highly technical subject, Gleick does it well. But I found this book even more engaging for the narrative tale of a moment in history -- a virtual paradigm shift in mathematical thought -- that happened in our lifetimes. It's a case study in political factions and egos, sometimes cooperation and always wonder at seeing the world in a new way.
The mathemetics of chaos (and order) has literally remade our moder world. From weather prediction to materials production to medicine, there's not a realm of technology that hasn't changed with our new understandings of the patterns that connect us all.
Though a popular science book can only gloss a highly technical subject, Gleick does it well. But I found this book even more engaging for the narrative tale of a moment in history -- a virtual paradigm shift in mathematical thought -- that happened in our lifetimes. It's a case study in political factions and egos, sometimes cooperation and always wonder at seeing the world in a new way.
January 5, 2016
Wonderful, easy to understand book about what chaos is and how scientists came to understand it. I recommend viewing Robert Sapolsky's Stanford YouTube video lectures 21 & 22 on chaos and emergence & complexity before reading this book. Fractals are the most amazing things. You only get one life. Make sure learning about fractals is part of it. Such a thing of beauty.
February 22, 2012
Awesome predictability of unpredictability, namely sensitive dependence on initial conditions. Wonderful bifurcations and pretty things abound... it'll make you realise why we'll never understand everything.
October 28, 2012
I read this a while ago but I can't remember it being a very spectacular or enjoyable read. Disclaimer: I took chaos mathematics at school so I was reasonably familiar with most presented concepts, which could have made it a little more boring.
June 14, 2020
This is how popular science books should be.
November 29, 2022
賴賱 賮賰乇鬲 賷賵賲丕 賲丕匕丕 爻賷丨丿孬 賱賵 睾賷乇鬲 賲賳 丕賱賲毓胤賷丕鬲 丕賱丕賵賱賷丞 賱鬲噩乇亘丞 賲丕 亘賲賯丿丕乇 賲卅賵賷 氐睾賷乇 責! 賲丕匕丕 賱賵 賰丕賳 丕賱賲賯丿丕乇 賵丕丨丿丕 毓賱賶 丕賱賲賱賷賵賳責! 丕賵 丕賳 鬲睾賷乇丕 亘爻賷胤丕 賵胤賮賷賮丕 賵賲賴賲賱丕 賮賷 鬲噩乇亘丞 賮賷夭賷丕卅賷丞 賷賲賰賳 兀賳 賷丐丿賷 廿賱賶 鬲睾賷乇 賳鬲丕卅噩 丕賱鬲噩乇亘丞 亘兀賰賲賱賴丕責! 丕賵 賱賳賯賱 賴賱 禺胤乇 毓賱賶 亘丕賱賰 兀賳 匕丕賱賰 賲賯胤毓 丕賱賮賷丿賷賵 丕賱匕賷 卮丕乇賰鬲賴 毓賱賶 氐賮丨鬲賰 賱賷賱丞 丕賱亘丕乇丨丞 賷賲賰賳 兀賳 賷賰賵賳 爻亘亘丕 賮賷 氐毓賵丿 丕賵 賴亘賵胤 丕丨丿 兀爻賴賲 卮乇賰丞 賲丕 賮賷 亘賵乇氐丞 賵賵賱爻鬲乇賷鬲 賮賷 睾囟賵賳 丕賱卮賴賵乇 丕賱賲賯亘賱丞 責! 丕賵 丕賳 噩乇爻 爻賷丕乇鬲賰 丕賱匕賷 丕胤賱賯鬲賴 賯丿 賷賰賵賳 爻亘亘丕 賮賷 丕賱丕賳賴賷丕乇 丕賱噩賱賷丿賷 賱賱賯胤亘 丕賱卮賲丕賱賷 責! .賯丿 鬲賰賵賳 賯丿 爻賲毓鬲 賲爻亘賯丕 毓賳 " 賳馗乇賷丞 鬲丕孬賷乇 丕賱賮乇丕卮丞" 丕賵 賴賱 爻賲毓鬲 丕賳 鬲兀孬賷乇 乇賮乇賮丞 噩賳丕丨 賮乇丕卮丞 鬲胤賷乇 賮賵賯 丕賱氐賷賳 賯丿 鬲爻亘亘 丕毓氐丕乇 賮賷 賲賰丕賳 賲丕 賮賷 丕賱毓丕賱賲 . 爻賵丕亍 賰丕賳 丕賱兀賲乇 亘丕賱丕賷噩丕亘 丕賵 丕賱賳賮賷貙 賮廿賳 賴匕丕 丕賱賰鬲丕亘 賷鬲賳丕賵賱 賴匕賴 丕賱馗賵丕賴乇 賲賳 賲賳胤賱賯 毓賱賲賷 鬲噩乇賷亘賷 . 爻賵賮 鬲賯乇兀 毓賳 賳馗乇賷丞 丕賱賮賵囟賶貙 賵丕賳賴 賮賷 賯賱亘 丕賱賮賵囟賶 賷賵噩丿 賳馗丕賲 兀禺乇.
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