APS Excellence in Physics Education Award
November 2019 Science SPORE Prize
November 2011 The Open Source Physics Project is supported by NSF DUE-0442581.

## An Introduction to Computer Simulation Methods Third Edition (revised) Documents This material has 23 associated documents. Select a document title to view a document's information.

#### Main Document

##### CSM Third Edition Revised (Draft)

written by Harvey Gould, Jan Tobochnik, and Wolfgang Christian

The complete revised Third Edition for An Introduction to Computer Simulation Methods Third Edition by Harvey Gould, Jan Tobochnik, and Wolfgang Christian. This file is included in the full-text index. This file has previous versions.

#### Supplemental Documents (22)

##### CSM Preface and Table of Contents

Frontmatter for an Introduction to Computer Simulation Methods.

##### CSM Ch 1: Introduction (Draft)

The importance of computers in physics and the nature of
computer simulation is discussed. The nature of object-oriented
programming and various computer languages also is considered. This file is included in the full-text index. This file has previous versions.

##### CSM Ch 2: Tools for Doing Simulations (Draft)

We introduce some of the core syntax of Java in the context of
simulating the motion of falling particles near the Earth's surface. A
simple algorithm for solving first-order differential equations numerically
also is discussed. This file is included in the full-text index.

##### CSM Ch 3: Simulating Particle Motion (Draft)

We discuss several numerical methods needed to simulate the motion of particles using Newton's laws and introduce interfaces, an important Java construct that makes it possible for unrelated objects to declare that they perform the same methods. This file is included in the full-text index.

##### CSM Ch 4: Simple Harmonic Motion (Draft)

We explore the behavior of oscillatory systems, including the simple harmonic oscillator, a simple pendulum, electrical circuits, and introduce the concept of phase space. This file is included in the full-text index.

##### CSM Ch 5: Planetary Motion (Draft)

We apply Newton's laws of motion to planetary motion and other systems of a few particles and explore some of the counter-intuitive consequences of Newton's laws. This file is included in the full-text index.

##### CSM Ch 6: The Chaotic Motion of Dynamical Systems (Draft)

We study simple nonlinear deterministic models that exhibit chaotic behavior. We will find that the use of the computer to do numerical experiments will help us gain insight into the nature of chaos. This file is included in the full-text index.

##### CSM Ch 7: Random Processes (Draft)

Random processes are introduced in the context of several simple physical systems, including random walks on a lattice, polymers, and diffusion controlled chemical reactions. The generation of random number sequences also is discussed. This file is included in the full-text index.

##### CSM Ch 8: The Dynamics of Many Particle Systems (Draft)

We simulate the dynamical behavior of many particle systems such as dense gases, liquids, and solids and observe their qualitative features. Some of the basic ideas of equilibrium statistical mechanics and kinetic theory are introduced. This file is included in the full-text index.

##### CSM Ch 9: Coupled Oscillators and Normal Modes (Draft)

We discuss the physics of wave phenomena and the motivation and use of Fourier transforms. This file is included in the full-text index.

##### CSM Ch 10: Electrodynamics (Draft)

We compute the electric fields due to static and moving charges, describe methods for computing the electric potential in boundary value problems, and solve Maxwell's equations numerically. This file is included in the full-text index.

##### CSM Ch 11: Numerical and Monte Carlo Methods (Draft)

Simple classical and Monte Carlo methods including importance sampling are illustrated in the context of the numerical evaluation of definite integrals. This file is included in the full-text index.

##### CSM Ch 12: Percolation (Draft)

We introduce several geometrical concepts associated with percolation, including the percolation threshold, clusters, and cluster finding algorithms. We also introduce the ideas of critical phenomena in the context of the percolation transition, including critical exponents, scaling relations, and the renormalization group. This file is included in the full-text index.

##### CSM Ch 13: Fractals and Kinetic Growth Models (Draft)

We introduce the concept of fractal dimension and discuss several processes that generate fractal objects. This file is included in the full-text index.

##### CSM Ch 14: Complex Systems (Draft)

We introduce cellular automata, neural networks, genetic algorithms, and growing networks to explore the concepts of self-organization and complexity. Applications to sandpiles, fluids, earthquakes, and other areas are discussed. This file is included in the full-text index.

##### CSM Ch 15: Monte Carlo Simulations of Thermal Systems (Draft)

We discuss how to simulate thermal systems using a variety of Monte Carlo methods including the traditional Metropolis
algorithm. Applications to the Ising model and various particle systems are discussed and more efficient Monte Carlo algorithms are introduced. This file is included in the full-text index.

##### CSM Ch 16: Quantum Systems (Draft)

We discuss numerical solutions of the time-independent and time-dependent Schroedinger equation and describe several Monte Carlo methods for estimating the ground state of quantum systems. This file is included in the full-text index.

##### CSM Ch 17: Visualization and Rigid Body Dynamics (Draft)

We study affine transformations in order to visualize objects in three dimensions. We then solve Euler's equation of motion for rigid body dynamics using the quaternion representation of rotations. This file is included in the full-text index.

##### CSM Ch 18: Seeing in Special and General Relativity (Draft)

We compute how objects appear at relativistic speeds and in the vicinity of a large spherically symmetric mass. This file is included in the full-text index.

##### CSM Epilogue: The Unity of Physics (Draft)

We emphasize that the methods we have discussed can be applied to a wide variety of natural phenomena and contexts. This file is included in the full-text index.

##### CSM Updates and Corrections

Updates and errata to An Introduction to Computer Simulation Methods Third Edition. This file is included in the full-text index. This file has previous versions.

##### CSM Review

Computing in Science and Engineering book review of An Introduction to Computer Simulation Methods. Open Source Physics - Tracker - EJS Modeling Physlet Physics Physlet Quantum Physics