Differential Equations with Mathematica

✍ Scribed by Martha L. Abell and James P. Braselton (Auth.)

• Publisher: Elsevier Inc, Morgan Kaufmann Pub
• Year: 1993
• Tongue: English
• Leaves: 635
• Category: Library

✦ Synopsis

This volume completely covers constructing, numerically computing and approximating solutions to ordinary and partial differential equations. This book serves as a hands-on introduction to the subject-matter through numerous examples that explain how to solve important applications using Mathematica

✦ Table of Contents

Content:
Front Matter, Page i
Copyright, Page ii
Preface, Pages vii-viii
Chapter 1 - Introduction to Differential Equations, Pages 1-7
Chapter 2 - First-Order Ordinary Differential Equations, Pages 8-53
Chapter 3 - Applications of First-Order Ordinary Differential Equations, Pages 54-89
Chapter 4 - Higher Order Differential Equations, Pages 90-159
Chapter 5 - Applications of Higher Order Differential Equations, Pages 160-215
Chapter 6 - Power Series Solutions of Ordinary Differential Equations, Pages 216-271
Chapter 7 - Applications of Power Series, Pages 272-293
Chapter 8 - Introduction to the Laplace Transform, Pages 294-338
Chapter 9 - Applications of the Laplace Transform, Pages 339-377
Chapter 10 - Systems of Ordinary Differential Equations, Pages 378-461
Chapter 11 - Applications of Systems of Ordinary Differential Equations, Pages 462-527
Chapter 12 - Fourier Series and Applications to Partial Differential Equations, Pages 528-582
Appendix - Numerical Methods, Pages 583-607
Glossary, Pages 608-624
Selected References, Pages 625-626
Index, Pages 627-631