《物理学家的几何学》是2005年清华大学出版社出版的图书，作者是[美来自]Theodore Frankel。

• 中文名称 物理学家的几何学
• 外文名称 The Geometry of Physics An Introduction 2nd ed.
• 作者 [美]Theodore Frankel
• 出版社 清华大学出版社
• 出版日期 2005年3月1日

图书信息

　　书名:The Geometry of Physics An Introduction 2nd ed.(物理学家的几何学 第2版)

物理学家的几何学

　挥向训晚把何大铁编　ISBN:9787302073512

　　作者:[书失青史美]Theodore Frankel

　　定价:84元

　　出版日期:2005-3-1

钢定轴钱识友这劳要铁　　出版社:清华大学出版社

图来自书简介

　　本书试图提供外微分形式、微分几何、代数拓扑、微分拓扑、李群、向量丛、Chern公式等前沿知识，它们对于深入理解经典物理、现代物理以及工程都是必需的。其中包含解析动力学、流体动力学、电磁学(在平坦空360百科间和弯曲空间)、热力学、弹性理论、Kirchhoff电路定律的几何及拓扑、肥皂泡薄膜、狭义相对论和积皮曾临财绝方界定解广义相对论、Dirac算子和旋量、Yang-Mills规范场、Aharonov-Bohm效应、建Berry相、瞬子绕数、夸率背克、介子的夸克模型。在讨论抽象的微分放准执几何概念前，通过大量的关于常规空间中曲面的研究培养几何直观，因此，学数学的学生对此书也会很感兴趣。

　　本书对于物理、工程、数学的高年级学生和研究生是非常有益的，可供他们作为自学教材。

　　This book is int娘兰均至万ended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms th项席扩息战晚于考环at are essential for a deepe足束科若虽烟r understanding of both classical and modern physics and engineering. Incl间略句不uded are discussions of analytical and 表究民病肥fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, elasticity theory, the geometry and topology of Kirchhoff's e合光验劳尽裂效情源收青lectric circuit laws, soap films, special and g受屋eneral relati领马做质vity, the Dirac operator and spinors, and gauge fields, in胡员胶总座红直鸡互cluding Yang-Mills, t土合金演祖见he Aharonov-Bohm effect, Berry phase, and instanton winding nu好际械祖印促群局告mbers, quarks, and the quark model for mesons. Before a discussion of abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should be of interest also to mathematics students.

　　This book will be useful to graduate and advanced undergraduate students of physics, engineering, and mathematics. It can be used as a course text of for self-study.

　　This second edition includes three new appendices, Appendix C, Symmetries, Quarks, and Meson Masses (which concludes with the famous Gell-Mann/Okubo mass formula); Appendix D, Representations and Hyperelastic Bodies; and Appendix E, Orbits and Morse-Bott Theory in Compact Lie Groups. Both Appendix C and D involve results from the theory of representations of compact Lie groups, which are developed here. Appendix E delves deeper into the geometry and topology of compact Lie groups.

目录

　　本书试图提供外微分形式、微分几何、代数拓扑、微分拓扑、李群、向量丛、Chern公式等前沿知识，它们对于深入理解经典物理、现代物理以及工程都是必需的。其中包含解析动力学、流体动力学、电磁学(在平坦空间和弯曲空间)、热力学、弹性理论、Kirchhoff电路定律的几何及拓扑、肥皂泡薄膜、狭义相对论和广义相对论、Dirac算子和旋量、Yang-Mills规范场、Aharonov-Bohm效应、Berry相来自、瞬子绕数、夸克、介子的夸克模型。在讨论抽象的微分几何概念前，通过大量的关于360百科常规空间中曲面的研究培养几何直观，因此，学数学的学生对此书也会很感兴趣。

　冷永外教刘站集　本书对于物理、工程、数学的高年级学生和研究生是非常有益的，可供他们作为自学教材。

　　This book is intended to provide a working knowledge 表师露of those parts of exterior differ欢差愿ential forms, differential 弦输缺存均沙误致局geometry, al胞面测功校末gebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essent断保伟兴地金华全ial for a deeper understan成留选ding of both classical and modern physics and engineering. Included are di析依scussions of analytical and fluid dynamics, electromagnetism (in flat and cur失医ved space), thermodynamics, elasticity th沙虽工粉化攻eory, the geometry and topology of Kirchhoff's electric circuit laws, soap films, spec属呀整ial and general relativity, the Dira些调斗与哥c operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, a教请细已呢岩布nd instanton winding numbers, quarks, and the quark model for mesons. Be员海结化fore a dis铁他连仍cussion of abstract notions of diffe体少丰草赵步帝粒rential geo门你差队厂metry, geometric intuition is developed through a rather extensive introduction 裂击束互to the study of surfaces in ordinary space; consequently, the book should be of interest also to mathematics students.

　　This book will be useful to graduate and advanced undergraduate students of physics, engineering, and mathematics. It can be used as a course text of for self-study.

　　This second edition includes three new appendices, Appendix C, Symmetries, Quarks, and Meson Masses (which concludes with the famous Gell-Mann/Okubo mass formula); Appendix D, Representations and Hyperelastic Bodies; and Appendix E, Orbits and Morse-Bott Theory in Compact Lie Groups. Both Appendix C and D involve results from the theory of representations of compact Lie groups, which are developed here. Appendix E delves deeper into the geometry and topology of compact Lie groups.