Computer Algebra Recipes : An Advanced Guide to Scientific Modeling / 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 | 2007 |
本文言語 | 英語 |
大きさ | X, 374 p. 110 illus : online resource |
書誌詳細を非表示
内容注記 | The Appetizers Phase-Plane Portraits Phase-Plane Analysis The Entrees Linear ODE Models Nonlinear ODE Models Linear PDE Models. Part 1 Linear PDE Models. Part 2 The Desserts The Hunt for Solitons Nonlinear Diagnostic Tools |
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一般注記 | Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays. This self-contained text benefits from a spiral structure that regularly revisits the general topics of graphics, symbolic computation, and numerical simulation with increasing intricacy at each turn. The text is built around a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is assumed. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe is associated with a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention. All recipes are included on the CD-ROM enclosed with the book. Aimed at third- and fourth-year undergraduates in science and engineering, the text contains numerous examples in disciplines that will challenge students progressing in mathematics, physics, engineering, game theory, and physical chemistry. Computer Algebra Recipes: An Advanced Guide to Mathematical Modeling can serve as an effective computational science text, with a set of problems following each section of recipes to enable readers to apply and confirm their understanding. The book may also be used as a reference, for self-study, or as the basis of an online course |
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:Algebra LCSH:Computer software LCSH:Mathematical models LCSH:Physics LCSH:Applied mathematics LCSH:Engineering mathematics FREE:Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Algebra FREE:Symbolic and Algebraic Manipulation FREE:Appl.Mathematics/Computational Methods of Engineering FREE:Mathematical Methods in Physics FREE:Mathematical Software |
分 類 | DC23:003.3 |
巻冊次 | ISBN:9780387493336 |
ISBN | 9780387493336 |
URL | http://dx.doi.org/10.1007/978-0-387-49333-6 |
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