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＜電子ブック＞
Computer Algebra Recipes : An Introductory Guide to the Mathematical Models of Science / by Richard H. Enns, George C. McGuire

版	1st ed. 2006.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	X, 430 p. 110 illus : online resource
著者標目	*Enns, Richard H author McGuire, George C author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematical physics LCSH:Computer software LCSH:Computer simulation FREE:Mathematical Modeling and Industrial Mathematics FREE:Symbolic and Algebraic Manipulation FREE:Mathematical and Computational Engineering Applications FREE:Mathematical Methods in Physics FREE:Mathematical Software FREE:Computer Modelling
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/0-387-31262-5

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