- Cover Page
- Title Page
- Dedication
- Preface
- Contents
- Chapter 1: Introduction
- Chapter 2: Free fall and ordinary differential equations
- Chapter 3: Realistic projectile motion with air resistance
- 3.1 Visualization of ideal projectile motion
- 3.2 Modeling air resistance
- 3.3 Linear air resistance
- 3.4 The Lambert W function
- 3.5 Quadratic air resistance and spin
- 3.6 Physics of ball sports
- 3.7 Shooting methods
- 3.8 Exercises and Projects
- 3.A Bisection and Newton's root finders
- 3.B Program listings and descriptions
- Chapter 4: Planetary motion and few-body problems
- 4.1 Motion of a planet
- 4.2 Properties of planetary motion
- 4.3 Precession of Mercury
- 4.4 Star wobbles and exoplanets
- 4.5 Planar three-body problems
- 4.6 The restricted three-body problem
- 4.7 Exercises and Projects
- 4.A Rotating frames and rate of change of vectors
- 4.B Rotation matrices
- 4.C Radial velocity transformation
- 4.D Program listings and descriptions
- Chapter 5: Nonlinear dynamics and chaos
- Chapter 6: Oscillations and waves
- 6.1 A damped harmonic oscillator
- 6.2 Vibrations of triatomic molecules
- 6.3 Displacement of a string under a load
- 6.4 Point source and finite element method
- 6.5 Waves on a string
- 6.6 Standing waves
- 6.7 Waves on a membrane
- 6.8 A falling tablecloth toward equilibrium
- 6.9 Exercises and Projects
- 6.A Program listings and descriptions
- Chapter 7: Electromagnetic fields
- 7.1 The game of electric field hockey
- 7.2 Electric potentials and fields
- 7.3 Laplace equation and finite element method
- 7.4 Boundary value problems with FEM
- 7.5 Meshfree methods for potentials and fields
- 7.6 Visualization of electromagnetic fields
- 7.7 Exercises and Projects
- 7.A Program listings and descriptions
- Chapter 8: Time-dependent quantum mechanics
- Chapter 9: Time-independent quantum mechanics
- 9.1 Bound states by shooting methods
- 9.2 Periodic potentials and energy bands
- 9.3 Eigenenergies by FDM and FEM methods
- 9.4 Basis expansion method
- 9.5 Central field potentials
- 9.6 Quantum dot
- 9.7 Exercises and Projects
- 9.A Numerov's method
- 9.B The linear potential and Airy function
- 9.C Program listings and descriptions
- Chapter 10: Simple random problems
- Chapter 11: Thermal systems
- Chapter 12: Classical and quantum scattering
- List of programs
- Bibliography
- Index
To my Father and Mother
who taught me that knowledge is to be revered
-
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