拓扑学基础教程

A First Course in Topology: An Introduction to Mathematical Thinking by Robert A Conover
English | 2014 | | 272 pages | EPUB | 6,1 MB

【教材简介】
拓扑学经典教材之一，Dover出版社2014年精选，实际为老书重印。
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
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