
Differential Equations with Mathematica
Academic Press
5th Edition
Published on 13. July 2022
Book
Paperback/Softback
608 pages
978-0-12-824160-8 (ISBN)
Description
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.
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.
More details
Edition
5th edition
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
College/higher education
Primary: Researchers/Professionals
Secondary: Differential Equations
Product notice
Paperback (trade)
Unsewn / adhesive bound
Illustrations
Approx. 300 illustrations
Dimensions
Height: 274 mm
Width: 211 mm
Thickness: 28 mm
Weight
1597 gr
ISBN-13
978-0-12-824160-8 (9780128241608)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Martha L. Abell | James P. Braselton
Differential Equations with Mathematica
E-Book
01/2022
5th Edition
Academic Press
€131.00
Available for download
Previous edition

Martha L. Abell | James P. Braselton
Differential Equations with Mathematica
Book
09/2016
4th Edition
Academic Press
€126.27
Article exhausted; check for reprint
Persons
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 instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example. 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 instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.
Content
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
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