## Computer simulations with Mathematica: explorations in complex physical and biological systems, Volume 1This book/CD-ROM package uses the Mathematica programming language to demonstrate the use of computer simulation as a research tool in all of the sciences, providing materials for students and professionals in such fields as physics, biology, chemistry, ecology, materials science and urban planning. The use of MathLink and "C" programs allow readers to run the most time and memory intensive algorithms through a C-compiler on a local machine. Only a minimal background in Mathematica programming is assumed. Self-contained explanations of the Mathematica and the use of MathLink are given in the Appendices. Equal emphasis is placed on the development of efficient Mathematica programs and on the visualization and numerical analysis of computer simulation results. |

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### Contents

The Random Walk | 17 |

Accretion | 34 |

Spreading Phenomena | 50 |

Copyright | |

11 other sections not shown

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### Common terms and phrases

algorithm anonymous function Apply[Plus argc arguments ArgumentTypes argv array behavior called cellular automata char cluster list computer simulation Computer Simulation Projects conf ig create cyclic space define elements energydiff evaluated example expression for(i forest fractal dimension global rule base graphics index++ infected initial Integer Ising model labeled lattice sites lattice walk left-hand side Listable Macintosh Mathematica MathLink matrix max_iterations Max[ul MLAbort MLPutFunction(stdlink MLPutSymbol(stdlink Moore neighborhood mprep nearest neighbor cell nearest neighbor sites neighborhood neuron newPers occupiedSites opts ordered pair Out[l particle pattern pattern-matches percolation perimeter list Program In[l random number random walk Random[Integer randomly result ReturnType rewrite rule right-hand side rule set s_sqr sandpile SAW configuration selected self-organized critical sequence of steps SetDelayed site percolation site_ptr->xcoord spin square end-to-end distance square lattice squaredist step locations Table[Random[Integer temp_ptr transformation rules tuplets two-dimensional uback Unix updated Wolfram xcoord