Fundamentals of Algebraic Topology
Weintraub, Steven H.
- 出版商: Springer
- 出版日期: 2016-09-10
- 售價: $2,440
- 貴賓價: 9.5 折 $2,318
- 語言: 英文
- 頁數: 163
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1493948857
- ISBN-13: 9781493948857
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This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated.
Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.