計算物理（第2版）

Preface
About the Authors
1 A First Numerical Problem
　1.1 Radioactive Decay
　1.2 A Numerical Approach
　1.3 Design and Construction of a Working Program:Codes and Pse docodes
　1.4 Testing Your Program
　1.5 Numerical Considerations
　1.6 Programming Guidelines and Philosophy
2　Realistic Projectile Motion
　2.1 Bicycle Racing:The Effect of Air Resistance
　2.2 Projectile Motion:The Trajectory of a Cannon Shell
　2.3 Baseball:Motion of a Batted Ball
　2.4 Throwing a Baseball:The Effects of Spin
　2.5 Golf
3 Oscillatory Motion and Chaos
　3.1 Simple Harmonic Motion
　3.2 Making the Pendulum More Interesting:Adding Dissipation, Nonlinearity, and a Driving Force
　3.3 Chaos in the Driven Nonlinear Pendulum
　3.4 Routes to Chaos:Period Doubling
　3.5 The Logistic Map:Why the Period Doubles
　3.6 The Lorenz Model
　3.7 The Billiard Problem
　3.8 Behavior in the Frequency Domain:Chaos and Noise
4　The Solar System
　4.1 Kepler's Laws
　4.2 The Inverse-Square Law and the Stability of Planetary Orbits
　4.3 Precession of the Perihelion of Mercury
　4.4 The Three-Body Problem and the Effect of Jupiter on Earth
　4.5 Resonances in the Solar System:Kirkwood Gaps and Planetary Rings
　4.6 Chaotic Tumbling of Hyperion
5 Potentials and Fields
　 5.1 Electric Potentials and Fields:Laplace's Equation
　 5.2 Potentials and Fields Near Electric Charges
　 5.3 Magnetic Field Produced by a Current
　 5.4 Magnetic Field of a Solenoid:Inside and Out
6 Waves　　
　 6.1 Waves:The Ideal Case
　 6.2 Frequency Spectrum of Waves on a String
　 6.3 Motion of a(Somewhat)Realistic String
　 6.4 Waves on a String(Again):Spectral Methods
7 Random Systems
　 7.1 Why Perform Simulations of Random Processes?
　 7.2 Random Walks
　 7.3 Self-Avoiding Walks
　 7.4 Random Walks and Diffusion
　 7.5 Diffusion, Entropy, and the Arrow of Time
　 7.6 Cluster Growth Models
　 7.7 Fractal Dimensionalities of Curves
　 7.8 Percolation
　 7.9 Diffusion on Fractals
8 Statistical Mechanics, Phase Transitions, and the Ising Model
　 8.1 The Ising Model and Statistical Mechanics
　 8.2 Mean Field Theory
　 8.3 The Monte Carlo Method
　 8.4 The Ising Model and Second-Order Phase Transitions
　 8.5 First-Order Phase Transitions
　 8.6 Scaling
9 Molecular Dynamics
　 9.1 Introduction to the Method:Properties of a Dilute Gas
　 9.2 The Melting Transition
　 9.3 Equipartition and the Fermi-Pasta-Ulam Problem
10 Quantum Mechanics
　10.1 Time-Independent SchrSdinger Equation:Some Preliminaries
　10.2 One Dimension:Shooting and Matching Methods
　10.3 A Matrix Approach
　10.4 A Variational Approach
　10.5 Time-Dependent Schr6dinger Equation:Direct Solutions
　10.6 Time-Dependent Schr6dinger Equation in Two Dimensions
　10.7 Spectral Methods
11 Vibrations,Waves,and the Physics of Musical Instruments
12 Interdisciplinary Topics
APPENDICES
　A Ordinary Differential Equations with Initial Values
　B Root Finding and Optimization
　C The Fourier Transform
　D Fitting Data to a Function
　E Numerical Integration
　F Generation of Random Numbers
　G Statistical Tests of Hypotheses
　H Solving Linear Systems
Index