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  理论物理中的Ma...
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该书是Springer2005年出版的一卷本“经典力学和非线性动力学”的新版，作者是GBaumann。本书是经典力学和非线性动力学的经典教材，它教授读者如何应用Mathematica以数字和符号的方式处理物理问题中的理论概念并求解。书中给出许多具有启发性的实例让读者学习和实际运用那些导出的常数和公式。本书新版扩充为两卷标准形式，适合于力学和电动力学课程，增加了许多新实例，更有益于启发性的学习环境。所附光盘只读存储器里包括所有课本的内容和应用Mathematica?Notebooks求解物理问题的实例。建议影印。

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• Preface
  4 Electrodynamics
  4.1 Introduction
  4.2 Potential and Electric Field of Discrete Charge Distributions
  4.3 Boundary Problem of Electrostatics
  4.4 Two Ions in the Penning Trap
  4.4.1 The Center of Mass Motion
  4.4.2 Relative Motion of the Ions
  4.5 Exercises
  4.6 Packages and Programs
  4.6.1 Point Charges
  4.6.2 Boundary Problem
  4.6.3 Penning Trap
  5 Quantum Mechanics
  5.1 Introduction
  5.2 The Schrödinger Equation
  5.3 One-Dimensional Potential
  5.4 The Harmonic Oscillator
  5.5 Anharmonic Oscillator
  5.6 Motion in the Central Force Field
  5.7 Second Virial Coefficient and Its Quantum Corrections
  5.7.1 The SVC and Its Relation to Thermodynamic Properties
  5.7.2 Calculation of the Classical SVC B_c(T)for the(2n-n)-Potential
  5.7.3 Quantum Mechanical Corrections B_q1(T) and B_q2(T)of the SVC
  5.7.4 Shape Dependence of the Boyle Temperature
  5.7.5 The High-Temperature Partition Function for Diatomic Molecules
  5.8 Exercises
  5.9 Packages and Programs
  5.9.1 QuantumWell
  5.9.2 HarmonicOscillator
  5.9.3 AnharmonicOscillator
  5.9.4 CentralField
  6 General Relativity
  6.1 Introduction
  6.2 The Orbits in General Relativity
  6.2.l Quasielliptic Orbits
  6.2.2 Asymptotic Circles
  6.3 Light Bending in the Gravitational Field
  6.4 Einstein's Field Equations(Vacuum Case)
  6.4.1 Examples for Metric Tensors
  6.4.2 The Christoffel Symbols
  6.4.3 The Riemann Tensor
  6.4.4 Einstein's Field Equations
  6.4.5 The Cartesian Space
  6.4.6 Cartesian Space in Cylindrical Coordinates
  6.4.7 Euclidean Space in Polar Coordinates
  6.5 The Schwarzschild Solution
  6.5.1 The Schwarzschild Metric in Eddington-Finkelstein Form
  6.5.2 Dingle's Metric
  6.5.3 Schwarzschild Metric in Kruskal Coordinates
  6.6 The Reissner-Nordstrom Solution for a Charged Mass Point
  6.7 Exercises
  6.8 Packages and Programs
  6.8.1 EulerLagrange Equations
  6.8.2 PerihelionShift
  6.8.3 LightBending
  7 Fractals
  7.1 Introduction
  7.2 Measuring a Borderline
  7.2.1 Box Counting
  7.3 The Koch Curve
  7.4 Multifractals
  7.4.1 Multifractals with Common Scaling Factor
  7.5 The Renormlization Group
  7.6 Fractional Calculus
  7.6.1 Historical Remarks on Fractional Calculus
  7.6.2 The Riemann-Liouville Calculus
  7.6.3 Mellin Transforms
  7.6.4 Fractional Differential Equations
  7.7 Exercises
  7.8 Packages and Programs
  7.8.1 Tree Generation
  7.8.2 Koch Curves
  7.8.3 Multifactals
  7.8.4 Renormalization
  7.8.5 Fractional Calculus
  Appendix
  A.1 Program Installation
  A.2 Glossary of Files and Functions
  A.3 Mathematica Functions
  References
  Index