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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
出版情報 New York, NY : Springer New York , 2006
本文言語 英語
大きさ X, 430 p. 110 illus : online resource

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URL 電子ブック


EB0114707

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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
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 REFWLINK
ISBN 9780387312620
URL http://dx.doi.org/10.1007/0-387-31262-5
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