# Differential Equations

## An Introduction with Mathematica®

• Offers a huge variety of examples and exercises

• Lots of Mathematica® code, which is well integrated into the main discussion

Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

1. Front Matter
Pages I-XIII
2. Clay C. Ross
Pages 1-25
3. Clay C. Ross
Pages 26-51
4. Clay C. Ross
Pages 52-89
5. Clay C. Ross
Pages 90-128
6. Clay C. Ross
Pages 129-178
7. Clay C. Ross
Pages 179-209
8. Clay C. Ross
Pages 210-239
9. Clay C. Ross
Pages 240-296
10. Clay C. Ross
Pages 297-368
11. Clay C. Ross
Pages 369-422
12. Back Matter
Pages 423-433

### Introduction

This introductory differential equations textbook presents a convenient way for professors to integrate symbolic computing into the study of differential equations and linear algebra. Mathematica provides the necessary computational power and is employed from the very beginning of the text. Each new idea is interactively developed using it.

After first learning about the fundamentals of differential equations and linear algebra, the student is immediately given an opportunity to examine each new concept using Mathematica. All ideas are explored utilizing Mathematica, and though the computer eases the computational burden, the student is encouraged to think about what the computations reveal, how they are consistent with the mathematics, what any conclusions mean, and how they may be applied.

This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.

Dr. Clay C. Ross taught mathematics at the university level from 1967 through his retirement in May of 2003. He continues to pursue his interests in mathematics, travel and nature photography, still plays in the University orchestra, and serves as organist at his church. Those activities and much reading keep him productively occupied.

### Keywords

Algebra Mathematica differential equation learning linear algebra

#### Authors and affiliations

1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

### Bibliographic information

• Book Title Differential Equations
• Book Subtitle An Introduction with Mathematica®
• Authors Clay C. Ross
• Series Title Undergraduate Texts in Mathematics
• DOI https://doi.org/10.1007/978-1-4757-3949-7
• Copyright Information Springer-Verlag New York 2004
• Publisher Name Springer, New York, NY
• eBook Packages
• Hardcover ISBN 978-0-387-21284-5
• Softcover ISBN 978-1-4419-1941-0
• eBook ISBN 978-1-4757-3949-7
• Series ISSN 0172-6056
• Edition Number 2
• Number of Pages XIV, 434
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Additional Information Originally published in the series "Textbooks in Mathematical Sciences"
• Topics
• Buy this book on publisher's site

## Reviews

From the reviews of the second edition:

"The introductory differential equations textbook presents a convenient way for professors to integrate … . Each new idea is interactively developed … . After first learning about the fundamentals of differential equations and linear algebra, the student is immediately given an opportunity to examine … . the student is encouraged to think about what the computations reveal, how they are consistent with the mathematics … . The new revised edition updates … and offers a more extensive treatment of linear algebra." (Zentralblatt für Didaktik der Mathematik, January, 2005)

"This text instructs students in solving and using differential equations with both paper-and-pencil techniques and the Mathematica symbolic manipulation program. … This is a good, thorough standard textbook with good explanations." (Steven Dunbar, MathDL, January, 2005)