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Topology Books

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Topology Topology (Hardcover)
by (shelved 32 times as topology)
avg rating 4.30 � 1,203 ratings � published 1974
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Algebraic Topology Algebraic Topology (Paperback)
by (shelved 16 times as topology)
avg rating 4.14 � 333 ratings � published 2001
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Introduction to Topological Manifolds (Graduate Texts in Mathematics) Introduction to Topological Manifolds (Graduate Texts in Mathematics)
by (shelved 10 times as topology)
avg rating 4.52 � 63 ratings � published 2000
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Counterexamples in Topology (Dover Books on Mathematics) Counterexamples in Topology (Dover Books on Mathematics)
by (shelved 10 times as topology)
avg rating 4.38 � 104 ratings � published 1970
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Geometry, Topology and Physics Geometry, Topology and Physics (Paperback)
by (shelved 8 times as topology)
avg rating 4.30 � 70 ratings � published 1999
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Introduction to Topology Introduction to Topology (Paperback)
by (shelved 8 times as topology)
avg rating 3.97 � 394 ratings � published 1975
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Topology from the Differentiable Viewpoint Topology from the Differentiable Viewpoint (Paperback)
by (shelved 7 times as topology)
avg rating 4.53 � 79 ratings � published 1997
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Euler's Gem: The Polyhedron Formula and the Birth of Topology Euler's Gem: The Polyhedron Formula and the Birth of Topology (Hardcover)
by (shelved 7 times as topology)
avg rating 4.28 � 424 ratings � published 2008
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Schaum's Outline of General Topology Schaum's Outline of General Topology (Paperback)
by (shelved 6 times as topology)
avg rating 4.21 � 61 ratings � published 1965
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The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds (Hardcover)
by (shelved 5 times as topology)
avg rating 4.42 � 177 ratings � published 1985
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Basic Topology (Undergraduate Texts in Mathematics) Basic Topology (Undergraduate Texts in Mathematics)
by (shelved 5 times as topology)
avg rating 3.58 � 66 ratings � published 1979
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Differential Topology Differential Topology (Hardcover)
by (shelved 5 times as topology)
avg rating 4.00 � 51 ratings � published 1974
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Topology and Geometry (Graduate Texts in Mathematics, 139) Topology and Geometry (Graduate Texts in Mathematics, 139)
by (shelved 5 times as topology)
avg rating 4.12 � 24 ratings � published 1993
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Introduction to Smooth Manifolds (Graduate Texts in Mathematics) Introduction to Smooth Manifolds (Graduate Texts in Mathematics)
by (shelved 5 times as topology)
avg rating 4.47 � 139 ratings � published 2002
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Differential Forms in Algebraic Topology (Graduate Texts in Mathematics, 82) Differential Forms in Algebraic Topology (Graduate Texts in Mathematics, 82)
by (shelved 5 times as topology)
avg rating 4.60 � 52 ratings � published 1982
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Essential Topology (Springer Undergraduate Mathematics Series) Essential Topology (Springer Undergraduate Mathematics Series)
by (shelved 5 times as topology)
avg rating 3.89 � 18 ratings � published 2005
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A Topological Picturebook A Topological Picturebook (Paperback)
by (shelved 5 times as topology)
avg rating 4.59 � 17 ratings � published 1987
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Three-Dimensional Geometry and Topology, Vol. 1 Three-Dimensional Geometry and Topology, Vol. 1 (Hardcover)
by (shelved 5 times as topology)
avg rating 4.35 � 26 ratings � published 1997
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Intuitive Topology (Mathematical World, Vol 4) Intuitive Topology (Mathematical World, Vol 4)
by (shelved 4 times as topology)
avg rating 3.79 � 14 ratings � published 1995
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Topology, Geometry and Gauge fields: Foundations (Texts in Applied Mathematics) Topology, Geometry and Gauge fields: Foundations (Texts in Applied Mathematics)
by (shelved 4 times as topology)
avg rating 4.00 � 7 ratings � published 1997
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Topology and Groupoids Topology and Groupoids (Paperback)
by (shelved 4 times as topology)
avg rating 4.00 � 4 ratings � published 2006
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A Taste of Topology (Universitext) A Taste of Topology (Universitext)
by (shelved 4 times as topology)
avg rating 4.12 � 8 ratings � published 2005
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Introduction to Metric and Topological Spaces (Oxford Mathematics) Introduction to Metric and Topological Spaces (Oxford Mathematics)
by (shelved 4 times as topology)
avg rating 4.26 � 50 ratings � published 1975
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Introduction to Topology and Modern Analysis Introduction to Topology and Modern Analysis (Hardcover)
by (shelved 4 times as topology)
avg rating 4.32 � 66 ratings � published 1963
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Introduction to Topology: Pure and Applied Introduction to Topology: Pure and Applied (Hardcover)
by (shelved 3 times as topology)
avg rating 4.21 � 29 ratings � published 2007
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Topology Without Tears Topology Without Tears (ebook)
by (shelved 3 times as topology)
avg rating 4.39 � 33 ratings � published 2012
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General Topology (Dover Books on Mathematics) General Topology (Dover Books on Mathematics)
by (shelved 3 times as topology)
avg rating 4.21 � 53 ratings � published 2004
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An Introduction to Manifolds (Universitext) An Introduction to Manifolds (Universitext)
by (shelved 3 times as topology)
avg rating 4.55 � 74 ratings � published 2007
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Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics, Series Number 16) Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics, Series Number 16)
by (shelved 3 times as topology)
avg rating 4.56 � 9 ratings � published 2009
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A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics) A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics)
by (shelved 3 times as topology)
avg rating 4.19 � 27 ratings � published 1999
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Elementary Applied Topology Elementary Applied Topology (Paperback)
by (shelved 3 times as topology)
avg rating 4.30 � 27 ratings � published 2014
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Topology (Undergraduate Texts in Mathematics) Topology (Undergraduate Texts in Mathematics)
by (shelved 3 times as topology)
avg rating 4.23 � 26 ratings � published 1980
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Introduction to Topology Introduction to Topology (Paperback)
by (shelved 3 times as topology)
avg rating 3.82 � 40 ratings � published 1983
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Topology and Geometry for Physicists Topology and Geometry for Physicists (Paperback)
by (shelved 3 times as topology)
avg rating 3.64 � 14 ratings � published 1983
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Lectures on Algebraic Topology (Classics in Mathematics) Lectures on Algebraic Topology (Classics in Mathematics)
by (shelved 3 times as topology)
avg rating 4.00 � 1 rating � published 1972
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Foundations of Differentiable Manifolds and Lie Groups Foundations of Differentiable Manifolds and Lie Groups (Hardcover)
by (shelved 3 times as topology)
avg rating 3.62 � 24 ratings � published 1983
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Differential Topology (Graduate Texts in Mathematics, 33) Differential Topology (Graduate Texts in Mathematics, 33)
by (shelved 3 times as topology)
avg rating 3.89 � 18 ratings � published 1976
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A Basic Course in Algebraic Topology A Basic Course in Algebraic Topology (Hardcover)
by (shelved 3 times as topology)
avg rating 4.08 � 25 ratings � published 1991
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Elementary Topology Elementary Topology (Hardcover)
by (shelved 3 times as topology)
avg rating 4.67 � 3 ratings � published 2008
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General Topology (Graduate Texts in Mathematics, 27) General Topology (Graduate Texts in Mathematics, 27)
by (shelved 3 times as topology)
avg rating 4.24 � 29 ratings � published 1954
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A User’s Guide to Algebraic Topology (Mathematics and Its Applications, 387) A User’s Guide to Algebraic Topology (Mathematics and Its Applications, 387)
by (shelved 3 times as topology)
avg rating 4.00 � 1 rating � published 1996
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The Geometry of Physics: An Introduction The Geometry of Physics: An Introduction (Paperback)
by (shelved 3 times as topology)
avg rating 4.20 � 56 ratings � published 1997
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The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots (Paperback)
by (shelved 3 times as topology)
avg rating 4.09 � 116 ratings � published 1994
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Algebraic Topology: A First Course (Graduate Texts in Mathematics, 153) Algebraic Topology: A First Course (Graduate Texts in Mathematics, 153)
by (shelved 3 times as topology)
avg rating 3.43 � 7 ratings � published 1995
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Computational Topology: An Introduction Computational Topology: An Introduction (Hardcover)
by (shelved 2 times as topology)
avg rating 4.18 � 17 ratings � published 2010
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Topological Data Analysis with Applications Topological Data Analysis with Applications (Hardcover)
by (shelved 2 times as topology)
avg rating 4.00 � 3 ratings � published
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First Concepts of Topology First Concepts of Topology (Paperback)
by (shelved 2 times as topology)
avg rating 3.87 � 15 ratings � published 1966
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Introduction to general topology Introduction to general topology (Hardcover)
by (shelved 2 times as topology)
avg rating 3.50 � 18 ratings � published
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Introduction to Knot Theory (Dover Books on Mathematics) Introduction to Knot Theory (Dover Books on Mathematics)
by (shelved 2 times as topology)
avg rating 3.94 � 18 ratings � published 1963
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TOPOLOGY TOPOLOGY (Paperback)
by (shelved 2 times as topology)
avg rating 3.33 � 6 ratings � published
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Paul R. Halmos
“[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.”
Paul R. Halmos

James Gleick
A.N. Kolmogorov and Yasha Sinai had worked out some illuminating mathematics for the way a system's "entropy per unit time" applies to the geometric pictures of surfaces stretching and folding in phase space. The conceptual core of the technique was a matter of drawing some arbitrarily small box around some set of initial conditions, as one might draw a small square on the side of a balloon, then calculating the effect of various expressions or twists on the box. It might stretch in one direction, for example, while remaining narrow in the other. The change in area corresponded to an introduction of uncertainty about the system's past, a gain or loss of information.”
James Gleick, Chaos: Making a New Science

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