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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Neil A Gershenfeld |

ISBN: | 0521570956 9780521570954 |

OCLC Number: | 246206131 |

Notes: | Literaturverz. S. 330 - 339. |

Description: | XII, 344 Seiten : Illustrationen, Diagramme ; 26 cm |

Contents: | Preface; 1. Introduction; Part I. Analytical Models: 2. Ordinary differential and difference equations; 3. Partial differential equations; 4. Variational principles; 5. Random systems; Part II. Numerical Models: 6. Finite differences: ordinary difference equations; 7. Finite differences: partial differential equations; 8. Finite elements; 9. Cellular automata and lattice gases; Part III. Observational Models: 10. Function fitting; 11. Transforms; 12. Architectures; 13. Optimization and search; 14. Clustering and density estimation; 15. Filtering and state estimation; 16. Linear and nonlinear time series; Appendix 1. Graphical and mathematical software; Appendix 2. Network programming; Appendix 3. Benchmarking; Appendix 4. Problem solutions; Bibliography. |

Responsibility: | Neil Gershenfeld. |

More information: |

## Reviews

*Editorial reviews*

Publisher Synopsis

Review of the hardback: 'Simulation and mathematical modelling will power the 21st century the way steam powered the 19th. Gershenfeld masterfully compresses two armloads of dense textbooks into a single clear volume, including both classic and avant garde methods, and with well-selected references for further study. Every student of computing needs this book as the entry ticket into a vital and rapidly-changing field.' William H. Press, Harvard University, author of Numerical Recipes Review of the hardback: 'Reducing whole disciplines to 10 pages or so of essential ideas makes for a remarkable guidebook. Virtually every present-day technique for modeling systems is displayed, like so many tools hung on a pegboard ... anyone who wants a sense of how the language of mathematics has changed in the last 50 years will marvel at Gershenfeld's concise map.' The Boston Globe Review of the hardback: 'In a compact but accessible manner, Gershenfeld offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving ... The Nature of Mathematical Modeling is a great compendium of techniques. It should be kept within easy reach of anyone who wants to build computer models to help understand the world around us.' Science Review of the hardback: 'Each topic described deserves a book in its own right, however, the author has skillfully pulled together a concise summary of each introducing basic results and building on them ... Each time I thumbed through the text I found something of interest which was well written and frequently presented a new perspective on a known subject ... I found this book a pleasure to read ... and recommend it as good background reading material on the broad subject of mathematical modeling. This not only includes students but also possibly for managerial purposes where a deep knowledge of a subject may not be required but an overview with the basic principles explained.' Christopher Dean, Mathematics Today Review of the hardback: 'Professor Gershenfeld's book is praiseworthy for being a concise account of a wide range of subjects and methods dealing with mathematical modelling as well as numerical treatment of models and governing equations with the aid of computers ... This is a remarkable achievement, taking into account the wealth of subjects that Gershenfeld has succeeded in considering in this space ... To conclude, I wholeheartedly recommend this book to both students and professional scientists ... I have read the entire book with utmost pleasure and satisfaction.' Contemporary Physics Review of the hardback: 'This is a well-written and interesting book. It would make an excellent text for a final-year undergraduate course in modeling and a good reference for research students in any situation where data are to be examined.' A. D. Booth, Simulation and Modeling Review of the hardback: 'The book contains a wealth of basic ideas and methods of the fantastic world of mathematical modeling ... presented in a compact and self-contained way ... a good introduction to the subject ...'. N. D. C. Veraverbeke, ISI Short Book Reviews Review of the hardback: 'The book offers a useful; insight into modelling with mathematical modelling and computer implematation its main concern. The author achieves his aim; of producing a well-written account of the simple and efficient ways in which such models can be implemented.' Kybernetes "In a compact but accessible manner, Gershenfeld offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving...a great compendium of techniques. It should be kept within easy reach of anyone who wants to build computer models to help understand the world Science "...masterfully written, fun to read, and brimming over with useful information....This text is a marvelous handbook of mathematical modeling." UMAP Journal "Gershenfeld's style of giving brief overviews together with a concise summary of key results in the subject area makes [the book] invaluable for mathematical and computational modelers...Highly recommended." Choice "...I do not know any other single source of the material presented here." Michael Marder, Physics Today "Neil manages to combine new and old flavors like analysis and stochastic modeling, finite element methods and cellular automata, nonlinear function minimization and information-theoretic system identification in a single integrated overview that exposes the purposes and capabilities of each. Any of these areas can be a black hole, capable of swallowing a student in detail, with no observable output. This book performs the valuable service of teaching novice or practitioner of what the methods can offer to the overall purpose of modeling the world around us or before us." Scott Kirkpatrick, IBM Research, inventor of simulated annealing "This is a book for anyone who wants to use a computer to build models. The book draws on an enormous variety of sources, but Gershenfeld has seen through to the core ideas and has brought out the key relationships between the various methods. The book is a pleasure to read." Michael I. Jordan, University of California, Berkeley "Simulation and mathematical modeling will power the 21st Century the way steam powered the 19th. Gershenfeld masterfully compresses two armloads of dense textbooks into a single clear volume, including both classic and avant garde methods, and with well-selected references for further study. Every student of computing needs this book as the entry ticket into a vital and rapidly changing field." William H. Press, Harvard University, author of Numerical Recipes "The sheer breadth of material that this book surveys and unifies in surprising ways is one strong recommendation for including The Nature of Mathematical Modeling in your library. Readers will profit from physicist Neil Gershenfeld's background as he draws connections among the many, often seemingly disparate, facets of mathematical modeling...And, of course, this is a book for practicing mathematicians, computer scientists, physicists, engineers, and any and all others interested in both standard and not so standard techniques viewed in the rich and stimulating context that this book provides." The American Mathematical Monthly "This is a well-written and interesting book. It would make an excellent text for a final-year undergraduate course in modeling and a good reference for research students in any situation where data are to be examined." Computing Reviews "The exposition of the text is fluent and engrossing...As a mathematician I found many of the topics discussed in the text interesting and worthy of further investigation. I would certainly recommend the text to a colleague interested in understanding the connections that exist among the seemingly unrelated techniques of applied mathematics." MAA Online Read more...

*User-contributed reviews*