Computer Algebra Recipes

An Advanced Guide to Scientific Modeling
 Taschenbuch
Sofort lieferbar
 
This book presents a large number of computer algebra worksheets to provide tools for problem solving and stimulate critical thinking. Each recipe features a scientific method and an interesting story to both entertain and enhance comprehension.
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 book presents 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 necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.
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.
This book presents 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 necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.
Autor: Richard H. Enns, George C. McGuire
Rezension"This book is written in the same spirit as the earlier text [Computer algebra recipes for mathematical physics. In accordance with the title of the book, the three chapters of the book are named as follows: I. The appetizers; II. The entrees; III. The deserts. Each chapter is divided into several dozens of subsections, patterned in the same way: a cover story about a modelling problem, some mathematical background, Maple solution of the problem with graphics, a set of problems. No prior knowledge of Maple is required from the reader: the authors suggest that new users of Maple read the book in natural order while experiences users may skip some parts and go directly to the topic of their interest. The cover stories are chosen from most diverse subjects that well describe the universal role of scientific modelling. A central theme is the use of systems of ordinary differential equations with many variations. For instance the love affair between Romeo and Juliet is analyzed in this way." (Matti Vuorinen, Zentralblatt MATH)
Autor: Richard H. Enns
ISBN-13:: 9780387257686
ISBN: 0387257683
Erscheinungsjahr: 01.02.2007
Verlag: Springer-Verlag GmbH
Gewicht: 562g
Seiten: 374
Sprache: Englisch
Sonstiges: Taschenbuch, 235x156x22 mm, 100 illustrations, insert with MAPLE

Mehr zum Thema