Purchase textbook

Differential Equations with Mathematica,

Edition 5

Editors: By Martha L. Abell and James P. Braselton

Publication Date: 27 Apr 2022

0 Reviews

Conformance

PDF/UA-1
The publication was certified on 20250728
For queries regarding accessibility information, contact [email protected]

Ways Of Reading

This e-publication is accessible to the full extent that the file format and types of content allow, on a specific reading device, by default, without necessarily including any additions such as textual descriptions of images or enhanced navigation.

Navigation

The contents of the PDF have been tagged to permit access by assistive technologies as per PDF-UA-1 standard.
Page breaks included from the original print source

Additional Accessibility Information

The language of the text has been specified (e.g., via the HTML or XML lang attribute) to optimise text-to-speech (and other alternative renderings), both at the whole document level and, where appropriate, for individual words, phrases or passages in a different language.

Note

This product relies on 3rd party tooling which may impact the accessibility features visible in inspection copies. All accessibility features mentioned would be present in the purchased version of the title.

Differential Equations with Mathematica, Fifth Edition 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.

Key Features

Demonstrates how to take advantage of the advanced features of Mathematica
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

About the author

By Martha L. Abell, Georgia Southern University, Statesboro, USA and James P. Braselton, Georgia Southern University, Statesboro, USA

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

ISBN: 9780128241608

Page Count: 608

Retail Price :

9780128149485; 9780128234174; 9781119256007; 9781305965720; 9780321747730

Students at the undergraduate level taking Differential Equations courses, in Mathematics Departments, in which the instructor is using Mathematica. Researchers/Professionals