圖書信息
出版社: 清華大學出版社; 第1版 (2009年11月1日)
外文書名: Special Relativity
叢書名: Springer大學數學圖書
平裝: 191頁
正文語種: 英語
開本: 16
ISBN: 9787302214878
條形碼: 9787302214878
尺寸: 24.2 x 17.2 x 1.2 cm
重量: 340 g
作者簡介
作者：(美國)伍德豪斯(N.M.J.Woodhouse)
內容簡介
《狹義相對論》按照相關物理歷史的發展順序及數學內部邏輯順序，完整、系統地講授狹義相對論，是作者在汲取了多年教學經驗和前輩相關專著（講義）的精華，並進行了多次修改後形成的較為完美和嚴謹的版本。書中精心配置了練習題（部分習題取自牛津大學考試題）並在附錄中對部分習題給出了提示和註解。《狹義相對論》適合理科專業（包括力學）大學二年級本科生，或具有較紮實的本科線性代數和微積分知識的學生用作教學用書，也適於研究生、教師作為教學參考書使用。
目錄
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
