## Computer simulation and computer algebra: lectures for beginnersComputer Simulation and Computer Algebra. Starting from simple examples in classical mechanics, these introductory lectures proceed to simulations in statistical physics (using FORTRAN) and then explain in detail the use of computer algebra (by means of Reduce). This third edition takes into account the most recent version of Reduce (3.4.1) and updates the description of large-scale simulations to subjects such as the 170000 X 170000 Ising model. Furthermore, an introduction to both vector and parallel computing is given. |

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### Contents

Monte Carlo Simulations in Statistical Physics | 67 |

Principles of Vector and Parallel Computing | 111 |

REDUCE for Beginners Seven Lectures | 145 |

Copyright | |

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### Common terms and phrases

2d particle problem algebra algorithm argument array assigned automatically Boolean calculate cellular automata Christoffel symbols clear cluster command compiler components configuration coordinates declared default defined derivative differential equation dimension DO-loop elements endif enter energy error evaluates example Excalc expression finite flip floating point Fortran function given Gnuplot goto HP-UX IF-statement input integer interval Ising model lecture linear loop machine Macsyma magnetization mass matrix memory method metric Monte Carlo MS-DOS neighbors operator output package parallel computer perimeter sites plot polynomials problem for dt procedure processor r.max r.min random number real numbers Reduce result return end root routine rule lists scalar SIMD simulation solution solve 2d particle spacetime specified spin square lattice step stepsize string subroutine switch tensor tmax Unix variable vector calculus vector computer vector pipelines vector processing velocity workstations write zero ZIB PSL