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.
具體描述
讀後感
對於物理係的學生這是一本很好的進入現代數學（微分幾何，代數拓撲，指標定理）的入門數。當然入門以後應當讀更專業的書纔好。
評分對於物理係的學生這是一本很好的進入現代數學（微分幾何，代數拓撲，指標定理）的入門數。當然入門以後應當讀更專業的書纔好。
評分對於物理係的學生這是一本很好的進入現代數學（微分幾何，代數拓撲，指標定理）的入門數。當然入門以後應當讀更專業的書纔好。
評分對於物理係的學生這是一本很好的進入現代數學（微分幾何，代數拓撲，指標定理）的入門數。當然入門以後應當讀更專業的書纔好。
評分對於物理係的學生這是一本很好的進入現代數學（微分幾何，代數拓撲，指標定理）的入門數。當然入門以後應當讀更專業的書纔好。
用戶評價
作為物理專業的書，數學上還算比較嚴格
评分errata： http://theory.caltech.edu/classes/ph229a/nakerrata2l.pdf || 暫時到第十章，話題很全。已經沒之前那麼感興趣瞭=。=
评分涵蓋麵很廣啊，居然弦論也有涉及。。。很強大的工具書瞭。
评分http://vdisk.weibo.com/s/deFcHExuXDrnR，適閤沒事的時候翻翻，過於簡練
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