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关于时间：相对论的数学基础（影印版）

样章
作者：
Roger Cooke
定价：
169.00 元
版面字数：
680千字
开本：
特殊
装帧形式：
精装
版次：
1
最新版次
印刷时间：
2025年
ISBN：
978-7-04-063093-0
物料号：
63093-00
出版时间：
2025-02-14
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
数学应用
暂无
  • 目录
    • 前辅文
      • Preface
        • Pedagogical Aims
          • Humanistic Aims
            • Special Features of This Book
              • Other Works on the Subject
                • Background Necessary to Read This Book
                  • Plan of the Work
                    • Acknowledgments
                    • Part 1. The Special Theory
                      • Chapter 1. Time, Space, and Space-Time
                        • 1. Simultaneity and Sequentiality
                          • 2. Synchronization in Newtonian Mechanics
                            • 3. An Asymmetry in Newtonian Mechanics: Electromagnetic Forces
                              • 4. The Lorentz Transformation
                                • 5. Contraction of Length and Time
                                  • 6. Composition of Parallel Velocities
                                    • 7. The Twin Paradox
                                      • 8. Relativistic Triangles
                                        • 9. Composition of Relativistic Velocities as a Binary Operation*
                                          • 10. Plane Trigonometry*
                                            • 11. The Lorentz Group*
                                              • 12. Closure of Lorentz Transformations under Composition*
                                                • 13. Rotational Motion and a Non-Euclidean Geometry*
                                                  • 14. Problems
                                                  • Chapter 2. Relativistic Mechanics
                                                    • 1. The Kinematics of a Particle
                                                      • 2. From Kinematics to Dynamics: Mass and Momentum
                                                        • 3. Relativistic Force
                                                          • 4. Work, Energy, and the Famous E = mc2
                                                            • 5. Newtonian Potential Energy
                                                              • 6. Hamilton’s Principle
                                                                • 7. The Newtonian Lagrangian
                                                                  • 8. The Relativistic Lagrangian
                                                                    • 9. Angular Momentum and Torque
                                                                      • 10. Four-Vectors and Tensors*
                                                                        • 11. Problems
                                                                        • Chapter 3. Electromagnetic Theory*
                                                                          • 1. Charge and Charge Density
                                                                            • 2. Current and Current Density
                                                                              • 3. Transformation of Electric and Magnetic Fields
                                                                                • 4. Derivation of the Curl Equations from the Divergence Equations
                                                                                  • 5. Problems
                                                                                • Part 2. The General Theory
                                                                                  • Introduction to Part 2
                                                                                    • Chapter 4. Precession and Deflection
                                                                                      • 1. Gravitation as Curvature of Space
                                                                                        • 2. First Analysis: Newtonian Orbits
                                                                                          • 3. Second Analysis: Newton’s Law with Relativistic Force
                                                                                            • 4. Third Analysis: Newtonian Orbits as Geodesics
                                                                                              • 5. Fourth Analysis: General Relativity
                                                                                                • 6. Einstein’s Law of Gravity
                                                                                                  • 7. Computation of the Relativistic Orbit
                                                                                                    • 8. The Speed of Light
                                                                                                      • 9. Deflection of Light Near the Sun
                                                                                                        • 10. Problems
                                                                                                        • Chapter 5. Concepts of Curvature, 1700–1850
                                                                                                          • 1. Differential Geometry
                                                                                                            • 2. Curvature, Phase 1: Euler
                                                                                                              • 3. Curvature, Phase 2: Gauss
                                                                                                                • 4. Problems
                                                                                                                • Chapter 6. Concepts of Curvature, 1850–1950
                                                                                                                  • 1. Second-Order Derivations
                                                                                                                    • 2. Curvature, Phase 3: Riemann
                                                                                                                      • 3. Parallel Transport
                                                                                                                        • 4. The Exponential Mapping and Normal Coordinates
                                                                                                                          • 5. Sectional Curvature
                                                                                                                            • 6. The Laplace–Beltrami Operator
                                                                                                                              • 7. Curvature, Phase 4: Ricci
                                                                                                                                • 8. Problems
                                                                                                                                • Chapter 7. The Geometrization of Gravity
                                                                                                                                  • 1. The Einstein Field Equations
                                                                                                                                    • 2. Further Developments
                                                                                                                                      • 3. “Temporonautics” and the G¨odel Rotating Universe
                                                                                                                                        • 4. Black Holes
                                                                                                                                          • 5. Problems
                                                                                                                                        • Part 3. Historical and Philosophical Context
                                                                                                                                          • Chapter 8. Experiments, Chronology, Metaphysics
                                                                                                                                            • 1. Experimental Tests of General Relativity
                                                                                                                                              • 2. Chronology
                                                                                                                                                • 3. Space and Time
                                                                                                                                                  • 4. The Reality of Physical Concepts
                                                                                                                                                    • 5. The Harmony Between Mathematics and the Physical World
                                                                                                                                                      • 6. Knowledge of Hypothetical Objects: An Example
                                                                                                                                                        • 7. Knowledge of the Physical World
                                                                                                                                                          • 8. A Few Words from the Discoverers
                                                                                                                                                            • 9. Epilogue: The Reception of Relativity
                                                                                                                                                          • Bibliography
                                                                                                                                                            • Subject Index
                                                                                                                                                              • Name Index

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