Computer Algebra Recipes : An Introductory Guide to the Mathematical Models of Science / by Richard H. Enns, George C. McGuire
| データ種別 | 電子ブック |
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| 出版者 | New York, NY : Springer New York |
| 出版年 | 2006 |
| 本文言語 | 英語 |
| 大きさ | X, 430 p. 110 illus : online resource |
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| 内容注記 | The Appetizers The Pictures of Science Deriving Model Equations The Entrees Algebraic Models. Part I Algebraic Models. Part II Linear ODE Models Difference Equation Models The Desserts Monte Carlo Methods Fractal Patterns |
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| 一般注記 | Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models. Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation. The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe. This text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models |
| 著者標目 | *Enns, Richard H. author McGuire, George C. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Computer simulation LCSH:Computer software LCSH:Mathematical models LCSH:Physics LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Symbolic and Algebraic Manipulation FREE:Appl.Mathematics/Computational Methods of Engineering FREE:Mathematical Methods in Physics FREE:Mathematical Software FREE:Simulation and Modeling |
| 分 類 | DC23:003.3 |
| 巻冊次 | ISBN:9780387312620 
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| ISBN | 9780387312620 |
| URL | http://dx.doi.org/10.1007/0-387-31262-5 |
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