规范场、扭结和引力

规范场、扭结和引力

(美) 约翰贝兹 (Baez,J.) , 著

出版社:世界图书出版公司北京公司

年代:2008

定价:49.0

书籍简介:

本书讲述了理解扭结理论和量子引力之间关系的数学工具。该书以流形和微分形式的快速讲述作为开始,强调它们如何为Maxwell方程表述提供一个合适的语言。为了介绍Maxwell理论和Yang-Mills方程,引入了向量丛、联络和曲率,简要描述了规范理论和最近发现的扭结不变量;为了讲述广义相对论的爱因斯坦方程引入黎曼几何以及尝试如何量化引力引入了扭结理论的有趣应用。本书将这些内容讲述的简明扼要,很容易理学习理解。

书籍目录:

Preface

I Electromagnetism

1 Maxwell's Equations

2 Manifolds

3 Vector Fields

4 Differential Forms

5 Rewriting Maxwell's Equations

6 DeRham Theory in Electromagnetism Notes to Part I

II Gauge Fields

1 Symmetry

2 Bundles and Connections

3 Curvature and the Yang-Mills Equation

4 Chern-Simons Theory

5 Link Invariants from Gauge Theory Notes to Part II

III Gravity

1 Semi-Riemannian Geometry

2 Einstein's Equation

3 Lagrangians for General Relativity

4 The ADM Formalism

5 The New Variables

Notes to Part III

Index

内容摘要:

is a book series polarized around the theory of knots. Volume 1 in the series is Louis H Kanffman's Knots and Physics.  One purpose of this series is to continue the exploration of many of the themes indicated in Volume 1. These themes reach out beyond knot theory into physics, mathematics, logic, linguistics, philosophy, biology and practical experience. All of these outreaches have relations with knot theory when knot theory is regarded as a pivot or meeting place for apparently separate ideas. Knots act as such a pivotal place.We do not fully understand why this is so. The series represents stages in the exploration of this nexus.

书籍规格:

书籍详细信息
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出版地北京出版单位世界图书出版公司北京公司
版次1版印次1
定价(元)49.0语种英文
尺寸14装帧平装
页数印数 1000

书籍信息归属:

规范场、扭结和引力是世界图书出版公司北京公司于2008.12出版的中图分类号为 O314 ,O413.4 ,O189.24 的主题关于 规范场-英文 ,扭结-英文 ,引力-英文 的书籍。