Topology


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
Three-Dimensional Geometry and Topology, Vol. 1
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds
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Topology Without Tears
 
by
Sidney A. Morris
The Knot Book by Colin Conrad AdamsIntuitive Topology by Victor V. PrasolovThe Shape of Space by Jeffrey R. WeeksEuler's Gem by David S. RichesonThe Shape of Inner Space by Shing-Tung Yau
Pop/Semi-Technical Topology
14 books — 2 voters
Category Theory in Context by Emily RiehlA Book of Abstract Algebra by Charles C. PinterOn Formally Undecidable Propositions of Principia Mathematica... by Kurt GödelUndecidable Theories by Alfred TarskiSet Theory and the Continuum Hypothesis by Paul Cohen
Dover Mathematics
915 books — 40 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
Topology by James R. MunkresA Course in Mathematical Analysis by D.J.H. GarlingCounterexamples in Topology by Lynn Arthur SteenGeneral Topology by Stephen WillardTopology; A First Course by James R. Munkres
General Topology (MMath)
37 books — 8 voters

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

Burak Cem Coşkun
The ultimate definition and behavior of 'the real' are embedded in Randomly Organized Structural Entities (ROSE), which can only be understood through topological behaviors that remain independent of physical laws. In this state of deep simplicity, reality manifests not through the rigid dissection of nature into blocks, but as hidden topological information within nature's irrational ratios—where minimal surfaces in mathematical solution spaces ushers the essence of consciousness to the surface ...more
Burak Cem Coşkun, Doğa Üzerine ve Yönteme Karşı - On Nature & Against Method, Reflections & Propositions

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Mathematics Students This group is for people interested in mathematics at the college level. All are welcome. Profes…more
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