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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
Schaum's Outline of General Topology
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds
Basic Topology (Undergraduate Texts in Mathematics)
Topology and Geometry (Graduate Texts in Mathematics, 139)
Introduction to Smooth Manifolds (Graduate Texts in Mathematics)
Differential Forms in Algebraic Topology (Graduate Texts in Mathematics, 82)
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Lists

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
Category Theory in Context by Emily RiehlOn Formally Undecidable Propositions of Principia Mathematica... by Kurt GödelA Book of Abstract Algebra by Charles C. PinterUndecidable Theories by Alfred TarskiSet Theory and the Continuum Hypothesis by Paul Cohen
Dover Mathematics
891 books — 37 voters

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 — 7 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

Quotes Tagged “Topology”

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
14 likes

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

More quotes...

Groups Tagged "Topology"

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