Computer Algebra Recipes: An Introductory Guide to the Mathematical Models of Science / Edition 1

Computer Algebra Recipes: An Introductory Guide to the Mathematical Models of Science / Edition 1

by Richard H. Enns, George C. McGuire
     
 

ISBN-10: 0387257675

ISBN-13: 9780387257679

Pub. Date: 12/28/2005

Publisher: Springer New York

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

Overview

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. The recipes are also included on the CD-ROM enclosed with the book. Each section of recipes is followed by a set of problems that readers can use to check their understanding or to develop the topic further. This text is the first of two volumes, the advanced guide, aimed at junior/senior/graduate level students, dealing with more advanced differential equation models.

Product Details

ISBN-13:
9780387257679
Publisher:
Springer New York
Publication date:
12/28/2005
Edition description:
2006
Pages:
430
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

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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