Geometry, Topology and Physics, Second Edition pdf epub mobi txt 电子书 下载 2025
- 物理
- 数学物理
- 数学
- 微分几何
- physics
- topology
- geometry
- 拓扑学
- Geometry
- Topology
- Physics
- Mathematics
- DifferentialGeometry
- AlgebraicTopology
- Calculus
- RiemannianGeometry
- TopologicalSpaces
具体描述
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.
作者简介
目录信息
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
全书整体很不错(暂时看到了纤维丛)，但局部有些图像不是很清楚(对于学物理的特别是初学者)，我基本是配合毛子的现代几何学和梁老师的微广才看懂的。
评分今天见到了作者…原来他还研究量子信息…
评分这个题材的标准书籍
评分作为物理专业的书，数学上还算比较严格
评分感觉讲法都很物理，有些定理表述好像有问题。。。好处是例子多，计算也比一般数学书详细。然后默认会认为读者对物理都很了解而对数学不了解。好吧本来就是给学物理的人看的。还差一点没看回头再补吧。
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