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书名 狭义相对论(Springer大学数学图书影印版)
分类 科学技术-自然科学-物理
作者 (美)伍德豪斯
出版社 清华大学出版社
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简介
编辑推荐

本书自成体系,作者给出了所有主要定律的完整推导(部分数学关系式放在附录中),因此任何具有较扎实的本科线性代数和微积分知识的学生都可以读懂此书。

本书的观点和对问题的诠释是严肃的,作者对物理学定律的数学推导相当严格和相当自然。它有助于读者消除著名物理学家维格纳提出的所谓“数学为什么这样无道理地有效”的迷惑。此外作者从数学上给出的一般性也十分有助于读者理解近代发展起来的高等物理学体系。

内容推荐

本书按照相关物理历史的发展顺序及数学内部逻辑顺序,完整、系统地讲授狭义相对论,是作者在汲取了多年教学经验和前辈相关专著(讲义)的精华,并进行了多次修改后形成的较为完美和严谨的版本。书中精心配置了练习题(部分习题取自牛津大学考试题)并在附录中对部分习题给出了提示和注解。本书适合理科专业(包括力学)大学二年级本科生,或具有较扎实的本科线性代数和微积分知识的学生用作教学用书,也适于研究生、教师作为教学参考书使用。

目录

1.Relativity in Classical Mechanics

 1.1 Frames of Reference

 1.2 Relativity

 1.3 Frames of Reference

 1.4 Newton's Laws

 1.5 Galilean Transformations

 1.6 Mass, Energy, and Momentum

 1.7 Space-time

 1.8 *Galilean Symmetries

 1.9 Historical Note

2.Maxwell's Theory

 2.1 Introduction

 2.2 The Unification of Electricity and Magnetism

 2.3 Charges, Fields, and the Lorentz Force Law

 2.4 Stationary Distributions of Charge

 2.5 The Divergence of the Magnetic Field

 2.6 Inconsistency with Galilean Relativity

 2.7 The Limits of Galilean Invariance

 2.8 Faraday's Law of Induction

 2.9 The Field of Charges in Uniform Motion

 2.10 Maxwell's Equations

 2.11 The Continuity Equation

 2.12 Conservation of Charge

 2.13 Historical Note

3.The Propagation of Light

 3.1 The Displacement Current

 3.2 The Source-free Equations

 3.3 The Wave Equation

 3.4 Monochromatic Plane Waves

 3.5 Polarization

 3.6 Potentials

 3.7 Gauge Transformations

 3.8 Photons

 3.9 Relativity and the Propagation of Light

 3.10 The Michelson-Morley Experiment

4.Einstein's Special Theory of Relativity

 4.1 Lorentz's Contraction

 4.2 Operational Definitions of Distance and Time

 4.3 The Relativity of Simultaneity

 4.4 Bondi's k-Factor

 4.5 Time Dilation

 4.6 The Two-dimensional Lorentz Transformation

 4.7 Transformation of Velocity

 4.8 The Lorentz Contraction

 4.9 Composition of Lorentz Transformations

 4.10 Rapidity

 4.11 *The Lorentz and Poincare Groups

5.Lorentz Transformations in Four Dimensions

 5.1 Coordinates in Four Dimensions

 5.2 Four-dimensional Coordinate Transformations

 5.3 The Lorentz Transformation in Four Dimensions

 5.4 The Standard Lorentz Transformation

 5.5 The General Lorentz Transformation

 5.6 Euclidean Space and Minkowski Space

 5.7 Four-vectors

 5.8 Temporal and Spatial Parts

 5.9 The Inner Product

 5.10 Classification of Four-vectors

 5.11 Causal Structure of Minkowski Space

 5.12 Invariant Operators

 5.13 The Frequency Four-vector

 5.14 *Affine Spaces and Covectors

6.Relative Motion

 6.1 Transformations between Frames

 6.2 Proper Time

 6.3 Four-velocity

 6.4 Four-acceleration

 6.5 Constant Acceleration

 6.6 Continuous Distributions

 6.7 *Rigid Body Motion

 6.8 Visual Observation

7.Relativistic Collisions

 7.1 The Operational Definition of Mass

 7.2 Conservation of Four-momentum

 7.3 Equivalence of Mass and Energy

8.Relativistic Electrodynamics

 8.1 Lorenz Transformations of E and B

 8.2 The Four-Current and the Four-potential

 8.3 Transformations of E and B

 8.4 Linearly Polarized Plane Waves

 8.5 Electromagnetic Energy

 8.6 The Four-momentum of a Photon

 8.7 *Advanced and Retarded Solutions

9.*Tensors and Isometrics

 9.1 Affine Space

 9.2 The Lorenz Group

 9.3 Tensors

 9.4 The Tensor Product

 9.5 Tensors in Murkowski Space

 9.6 Tensor Components

 9.7 Examples of Tensors

 9.8 One-parameter Subgroups

 9.9 Isometrics

 9.10 The Riemann Sphere and Spinners

Notes on Exercises

Vector Calculus

Bibliography

Index

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