A First Course in Geometric Topology and Differential Geometry

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Springer Science & Business Media, 1997 - Mathematics - 421 pages
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The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.
 

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This is an absolutely atrocious book. The pages stream at length with wordy nonsense without any sense of direction. Word economy never crossed the mind of this author. For that matter, niether did the relative importance of certain subjects, or how to correctly introduce material. Please find any other book, this thing is punishment. 

Contents

Informal Logic
vii
Strategies for Proofs
37
Sets
89
Functions
117
Relations
159
Infinite and Finite Sets
185
Selected Topics
233
Number Systems
305
Explorations
345
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