A Concise Course in Algebraic Topology pdf epub mobi txt 电子书 下载 2025
- 代数拓扑
- 数学
- 拓扑
- Algebraic_Topology
- 几何与拓扑
- Mathematics
- Math
- AlgebraicTopology
Algebraic topology is a basic part of modern mathematics and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry and Lie groups. This book provides a treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology and the book concludes with a list of suggested readings for those interested in delving further into the field.
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如标题所言，确实简洁。讲完fundamental group，马上引入一点范畴语言。
评分如标题所言，确实简洁。讲完fundamental group，马上引入一点范畴语言。
评分这本加上Bredon的那本topology and geometry足以打通拓扑学任督二脉，要是本科再学一次几何和拓扑，我只会读这两本书，最多再加一本Loring W.Tu
评分挺全的，不过不好读
评分挺全的，不过不好读
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