Differential Equations with Mathematica

by Martha L. Abell, James P. Braselton

Overview

Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists.

Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation.

Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities.

• Demonstrates how to take advantage of the advanced features of Mathematica 10
• Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists, and practitioners in many fields
• Showcases practical applications and case studies drawn from biology, physics, and engineering

Product Details

ISBN-13:	9780128047774
Publisher:	Elsevier Science & Technology Books
Publication date:	09/19/2016
Sold by:	Barnes & Noble
Format:	eBook
Pages:	880
File size:	95 MB
Note:	This product may take a few minutes to download.

About the Author

Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience in Mathematica-assisted instruction at both the undergraduate and graduate levels. In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica.

Table of Contents

1. Preface 2. Introduction to Differential Equations 3. First-Order Ordinary Differential Equations 4. Applications of First-Order Ordinary Differential Equations 5. Higher-Order Differential Equations 6. Applications of Higher-Order Differential Equations 7. Systems of Ordinary Differential Equations 8. Applications of Systems of Ordinary Differential Equations 9. Laplace Transform Methods 10. Eigenvalue Problems and Fourier Series 11. Partial Differential Equations 12. Appendix: Getting Started 13. The Mathematica Menu 14. Bibliography 15. Index

What People are Saying About This

From the Publisher

Updated resource focusing particularly on applications and Mathematica’s latest graphical capabilities

Editorial Reviews

Most topics covered include typical examples solved by both traditional methods, and by the computer math aid, Mathematica. The authors also use Mathematica to establish well-known algorithms for solving elementary differential equations. Practical problems for scientists and engineers are discussed, along with theoretical concepts. Many illustrations show what to type into Mathematica and just what comes out. Contains a glossary of commands. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

Stephen McDowall of Western Washington University says:
" The topics covered are extensive. The order and organization are good, especially in terms of increasing sophistication of the mathematics involved and in the complexity of the Mathematica programming necessary"
March 2003
Mark Lusk of The Colorado School of Mines says:
" I am considering the adoption of this book for my graduate class in Simulation and Modeling. I
make very heavy use of Mathematica and have a weekly computer lab. I am tempted to make this the sole, required text for that course"
March 2003

From the Publisher