图书标签: 物理 数学物理 数学 微分几何 physics topology geometry 拓扑学
发表于2024-12-25
Geometry, Topology and Physics, Second Edition pdf epub mobi txt 电子书 下载 2024
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.
非常好的入门书。
评分Geometry, topologyandphysics (2ed., GSSP, IoP, 2003)(596s).pdf
评分Geometry, topologyandphysics (2ed., GSSP, IoP, 2003)(596s).pdf
评分给了我认识数学的机会,也给了我继续学的motivation;但是错误太多,不仅仅是印刷错误,还有抄袭嫌疑。
评分Geometry, topologyandphysics (2ed., GSSP, IoP, 2003)(596s).pdf
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。
Geometry, Topology and Physics, Second Edition pdf epub mobi txt 电子书 下载 2024