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Computer Simulations with Mathematica (R): Explorations in Complex Physical and Biological Systems, by Richard J. Gaylord, Paul R. Wellin
Download Computer Simulations with Mathematica (R): Explorations in Complex Physical and Biological Systems, by Richard J. Gaylord, Paul R. Wellin
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This 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.
- Sales Rank: #2200128 in Books
- Published on: 1995-03-09
- Original language: English
- Number of items: 1
- Dimensions: 1.01" h x 7.37" w x 9.59" l,
- Binding: Hardcover
- 297 pages
Most helpful customer reviews
19 of 19 people found the following review helpful.
{short, nonsense-free, systematic, self-contained}->ELEGANT
By Tong Lu (tlu@csom.umn.edu)
How does the algorithmic approach work diffently from the equational approach? Gaylord/Wellin's neat book demostrates that. In cases of the presence of technical difficulties and the absence of the representability in terms of equations, the algorithmic approach is gainning more and more significance and enjoys a promising future. The book covers both the probabilistic systems and cellular automata. Wide-reaching 14 physical and biological systems are presented to suit various readers' tastes. [It would be a plus if in 2nd edition, the economic systems are EXPLICITLY included, although the authors did put some, say, the random walk model, in the book.] Each chapter is short [thus, time-saving for self-study], nonsense-free,systematic, and self-contained. It starts from step-by-step code fragments, to the integration of parts into a elegant program. Then, it was wrapped up with the numerical analysis and visualization both to give a feel of the performance of the model and to blow in a strand of breeze in our sometimes dry computer programming work. [Hopefully in next edition the sample solutions to the end-of-chapter computer projects will be added.] Appendix A and B on MATHEMATICA programming and random number generators concentrate on a few essential points [rather than on everything] and the authors delivered them effectively. In a nutshell, if you're interested in simulation and if you'd like to use MATHEMATICA, I recommend this superb book by Gaylord/Wellin.
5 of 6 people found the following review helpful.
The Book To Buy When Modeling Cellular Automata
By Math Student-Extended
This is the book to buy if you want to build and run the Cellular Automata pioneered by Stephen Wolfram (inventor of "Mathematica" the absolute best math software and more). Like most of us who have been waiting for more than a decade for Wolfram to finish his opus magnum "A New Kind of Science" (available for pre-ordering here on Amazon.com), one can get a little tired of waiting and want to run some of the sterling images sneak pre-viewed on his WEB site to gain some of the same insights he has been gathering since first discovering this phenomenon in the early '80's. I first bought Gaylord's later book; "Modeling Nature",(also available here on Amazon.com)thinking that would be the definitive guide to actually programming and running the simulations on "Mathematica." It's a great book and has many good examples of other kinds of modeling software but not the kind we are interested in, his "ElementaryRules" for these [very] particular 1-Dimensional Cellular Automata. Buy it, program them, run them, view them, and forever have the way you view the world change!
2 of 2 people found the following review helpful.
Great intro to mathematica programming, but only a teaser,
By Marc
This book is older, but still worthwhile.
First, it really is a concise intro to various models for simulating various applied problems. And to that end it illustrates the power and beauty of Mathematica's programming paradigm.
The programmers who approach Mathematica really have a hard time with understanding how to really approach Mathematica as a programming tool. The natural inclination is to simply fit procedural designs, which Mathematica does support, but really does not harness the performance and pure simplicity of Mathematica's paradigm. This book not only illustrates it, but underscores it and highlights it in bold.
There are some great appendix, and this book has outstanding information on MathLink, which is one of the worst documented components. Also a great intro to using/programming mathematica in the appendix.
Now the back flap mentions alot of applications, and implies that the book covers them all, well it doesn't. At a high level, yes, but there are not extensive examples in the book covering all of the areas listed on the back of the book.
However, there is great coverage of brownian motion, Ising ( worth it just for this ), and Celular Autmata. There are some great applications. From traffic to forest to the game of life. There is alot packed into this book and it is worth the price.. ( well not 200.00, but under 30, yep ).
The CD comes with everything from notebooks to sourcecode. ( This is old and I have not tried to compile C code or use the binaries on the CD, but for the most part the mathlink stuff does not look like it will have any issues with any C compiler ).
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