Kinzel W., Reents G. Physics by Computer. Programming Physical Problems Using Mathematica and C

Springer-Verlag, Berlin, New York, 1998. — 298 p. — ISBN: 3-540-62743-XNowadays the computer is an important tool in physics. The acquisition and analysis of extensive experimental data and the control of complex experiments are hardly imaginable without the use of computers. In theoretical physics the computer has turned from a mere calculator to a comprehensive tool. Graphical displays, numerical and algebraic solutions of equations, and extensive simulations of microscopic models have become important methods for the exploration of the laws of physics. The computer, however, is not just a tool, it also offers new perspectives and opens new areas of research. Until recently physicists generally described nature with differential equations; nowadays discrete algorithms are also used. For some apparently simple physical models there are only numerical answers so far.Functions in Mathematica.
Linear Equations: The Quantum Oscillator. Electrical Circuits. Chain Vibrations. The Hofstadter Butterfly. The Hubbard Model.
Iterations: Population Dynamics. The Frenkel-Kontorova Model. Fractal Lattices. Neural Networks.
Differential Equations: The Runge-Kutta Method. The Chaotic Pendulum. Stationary States. Solitons. Time-dependent Schrodinger Equation.
Monte Carlo Simulations: Random Numbers. Fractal Aggregates. Percolation. Polymer Chains. The Ising Ferromagnet. The Traveling Salesman Problem.
First Steps with Mathematica.
First Steps with C.
First Steps with Unix.
First Steps with Xgraphics.
Program Listings.