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© 2004

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)

Table of contents

  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 297-368
  10. Clay C. Ross
    Pages 369-422
  11. Back Matter
    Pages 423-433

About this book

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

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)