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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
ISBN：
978-7-04-063093-0
版面字数：
680.00千字
开本：
特殊
全书页数：
暂无
装帧形式：
精装
重点项目：
暂无
出版时间：
2025-02-14
物料号：
63093-00
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
  • 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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