Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics."Geometry, Topology and Physics, Second Edition" introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems.New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. "Geometry, Topology and Physics, Second Edition" is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
具体描述
读后感
对于物理系的学生这是一本很好的进入现代数学（微分几何，代数拓扑，指标定理）的入门数。当然入门以后应当读更专业的书才好。
评分对于物理系的学生这是一本很好的进入现代数学（微分几何，代数拓扑，指标定理）的入门数。当然入门以后应当读更专业的书才好。
评分对于物理系的学生这是一本很好的进入现代数学（微分几何，代数拓扑，指标定理）的入门数。当然入门以后应当读更专业的书才好。
评分对于物理系的学生这是一本很好的进入现代数学（微分几何，代数拓扑，指标定理）的入门数。当然入门以后应当读更专业的书才好。
评分对于物理系的学生这是一本很好的进入现代数学（微分几何，代数拓扑，指标定理）的入门数。当然入门以后应当读更专业的书才好。
用户评价
这个题材的标准书籍
评分http://vdisk.weibo.com/s/deFcHExuXDrnR，适合没事的时候翻翻，过于简练
评分错误真的很多，而且不光是记号错误，连推导错误都有. 个人觉得第十章connection写得是比较好的，颇刷物理人的三观；十一章各种示性类的介绍也挺好；十二章指标定理有点凌乱，十三章最大偷懒是不证明non-abelian anomaly结论,14章作为玻色弦入门还行
评分typo不少。但不减实用性。
评分物理工作用还是够了
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