- 为数学家写的广义相对论(影印版)(英文版)
- - 作者：(美)R.K.萨克斯|责编:高蓉//李黎
  - 出版社：世界图书出版公司
  - ISBN：9787506200783
  - 出版日期：2000/12/01
  - 页数：291
- 售价：31.6

内容大纲
本书是为数学家写的一本物理学教材。数学是研究物理学的有力工具，物理学的发展又为数学研究提供了丰富的素材。本书旨在促进数学家和物理学家的深入交流和数学科学与物理学的广泛渗透。本书的作者中一位是物理学和数学两栖科学家，另一位是微分几何学家，书中充分显示了两位学者的完美合作。
作者介绍
目录
Guidelines for the reader
Chapter 0  Preliminaries
  0.0  Review and notation
  0.1  Physics background
  0.2  Preview of relativity
Chapter 1  Spacetimes
  1.0  Review and notation
  1.1  Causal character
  1.2  Time orientability
  1.3  Spacetimes
  1.4  Examples of spacetimes
Chapter 2  Observers
  2.0  Mathematical preliminaries
  2.1  Observers and instantaneous observers
  2.2  Gyroscope axes
  2.3  Reference frames
Chapter 3  Electromagnetism and matter
  PART ONE: BASIC CONCEPTS
    3.0  Review and notation
    3.1  Particles
    3.2  Particle flows
    3.3  Stress-energy tensors
    3.4  Electromagnetism
    3.5  Matter and relativistic models
  PART TWO: INTERACTIONS
    3.6  Some mathematical methods
    3.7  Maxwell's equations
    3.8  Particle dynamics
    3.9  Matter equations: an example
    3.10  Energy-momentum ‘conservation'
    3.11  Two initial value theorems
    3.12  Appropriate matter equations
  PART THREE: OTHER MATTER MODELS
    3.13  Exampies
    3.14  Normal stress-energy tensors
    3.15  Perfect fluids
Chapter 4  The Einstein field equation
  4.0  Review and notation
  4.1  The Einstein field equation
  4.2  Ricci flat spacetimes
  4.3  Gravitational attraction and the phenomenon of collapse
Chapter 5  Photons
  5.0  Mathematical preliminaries
  5.1  Photons
  5.2  Light signals
  5.3  Synchronizable reference frames
  5.4  Frequency ratio
  5.5  Photon distribution functions
  5.6  Integration on lightcones
  5.7  A photon gas

Chapter 6  Cosmology
  6.0  Review, notation and mathematical preliminaries
  6.1  Data
  6.2  Cosmological models
  6.3  The Einstein-de Sitter model
  6.4  Simple cosmological models
  6.5  The early universe
  6.6  Other models
  6.7  Appendix: Luminosity distance in the Einstein-de Sitter model
Chapter 7  Further applications
  7.0  Review and notation
  7.1  Preview
  7.2  Stationary spacetimes
  7.3  The geometry of Schwarzschild spacetimes
  7.4  The solar system
  7.5  Black holes
  7.6  Gravitational plane waves
Chapter 8  Optional exercises:relativity
  8.1  Lorentzian algebra
  8.2  Differential topology and geometry
  8.3  Chronology and causality
  8.4  Isometries and characterizations of gravitational fields
  8.5  The Einstein field equation
  8.6  Gases
Chapter 9  Optional exercises: Newtonian analogues
  9.0  Review and notation
  9.1  Maxwell's equations
  9.2  Particles
  9.3  Gravity
Glossary of symbols
Bibliography
Index of basic notations
Index

内容大纲

作者介绍

目录

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