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A Physicist's Guide To Mathematica
A Physicists Guide to Mathematica(r) teaches students and professional physicists how to master Mathematica using examples and approaches that will appeal to them. The book illustrates the usefulness of Mathematica in learning, teaching, and carrying out research in physics. Part One gives a practical, physics-oriented, and self-contained introduction to the program. Part Two covers the application of Mathematica to mechanics, electricityand magnetism, and quantum physics.
Mathematica enables the user to solve a wide range of physics problems, from the most important to those that are just for fun, and provides an environment that allows the user to develop a greater intuitive understanding of physics. This book aids the reader in using Mathematica for numerical, symbolic, and graphical calculations, and also demonstrates the programs capability to animate two- and three-dimensional graphics. Tams treatment of the subject is greatly detailed, and makes this book an essential reference for anyone needing an introduction to Mathematicas application to physics.
This book teaches upper-division and graduate physics students as well as professional physicists how to master Mathematic(r), using examples and approaches that are motivating to them. It also shows that this computer algebra system can be a powerful and wonderful tool for learning, teaching, and doing physics. Part I gives a practical, physics-oriented, and self-contained introduction to Mathematica. Part II considers the application of Mathematica to mechanics, electricity and magnetism, and quantum physics.
Preface. Mathematica with Physics. The First Encounter: The First Ten Minutes. A Touch of Physics. On-Line Help. Error Messages. Packages. Notebook Interfaces. Interactive Use of Mathematica : Numerical Capabilities. Symbolic Capabilities. Graphical Capabilities. Lists. Problems. Programming in Mathematica : Expressions. Patterns. Functions. Procedures. Graphics. Programming Styles. Packages. Physics with Mathematica . Mechanics: Falling Bodies.Projectile Motion. The Pendulum. The Spherical Pendulum. Problems. Electricity and Magnetism : Electric Field Lines and Equipotentials. Laplaces Equation. Charged Particle in Crossed Electric and Magnetic Fields. Problems. Quantum Physics : Black Body Radiation. Wave Packets. Particle in a One-Dimensional Box. The Square Well Potential. Angular Momentum. The Kronig-Penney Model. Problems. Appendices : The Macintosh and Windows Front Ends. Special Input Forms. Built-In Mathematica Objects.The Infrastructure of Mathematica. Solutions to Exercises. Solutions to Problems. References. Subject Index.