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Topology


Topology Books

Topology
Algebraic Topology
Counterexamples in Topology (Dover Books on Mathematics)
Introduction to Topological Manifolds (Graduate Texts in Mathematics)
Geometry, Topology and Physics
Topology from the Differentiable Viewpoint
Introduction to Topology
Euler's Gem: The Polyhedron Formula and the Birth of Topology
Differential Topology
Introduction to Smooth Manifolds (Graduate Texts in Mathematics)
General Topology (Graduate Texts in Mathematics, 27)
Schaum's Outline of General Topology
Introduction to Topology and Modern Analysis
Three-Dimensional Geometry and Topology, Vol. 1
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds
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Lists

Algebraic Topology by Allen HatcherTopology by James R. MunkresA Basic Course in Algebraic Topology by William S. MasseyIntroduction to Topological Manifolds by John M. LeeDifferential Forms in Algebraic Topology by Raoul Bott
Algebraic Topology (MMath)
42 books — 8 voters
Introduction to Electrodynamics by David J. GriffithsFeynman Lectures on Physics Vol 2 by Richard P. FeynmanConvex Optimization by Stephen BoydThe Feynman Lectures on Physics Vol 3 by Richard P. FeynmanVisual Complex Analysis by Tristan Needham
Mathematics Part IB (University of Cambridge)
92 books — 9 voters

Real and Complex Analysis by Walter RudinTopology by James R. MunkresIntroductory Functional Analysis with Applications by Erwin KreyszigCounterexamples in Topology by Lynn Arthur SteenC*-Algebras and Operator Theory by Gerard J. Murphy
Mathematical Analysis
47 books — 12 voters
Information Theory by Robert B. AshA First Course in Geometry by Edward T. WalshReal Analysis by Gabriel KlambauerHistory of the Theory of Numbers, Volume II by Leonard Eugene DicksonPerplexing Mazes by Lee Daniel Quinn
Mathematics
20 books — 1 voter

Quotes Tagged “Topology”

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 directio ...more ”
― James Gleick, Chaos: Making a New Science
1 likes

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. ...more ”
― Paul R. Halmos
13 likes

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Groups Tagged "Topology"

Mathematics Students This group is for people interested in mathematics at the college level. All are welcome. Profes…more
569 members, last active 3 years ago