Elementary Differential Equations with Linear Algebra

✍ Scribed by Albert L. Rabenstein (Auth.)

• Publisher: Elsevier Inc, Academic Press
• Year: 1982
• Tongue: English
• Leaves: 513
• Edition: 3rd
• Category: Library

✦ Synopsis

Designed for use by sophomore engineering or junior physical science majors, this text is suitable for an introductory course in linear algebra and differential equations or a course in differential equations with a linear algebra prerequisite. This text contains detailed coverage of applied topics and includes theorems specifically applicable to engineering students. There is a new chapter on "Stability and the Phase Plane", approximately 300 new problems added throughout and several BASIC programs on numerical solutions of differential equations are included

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Preface, Page ix
one - Introduction to Differential Equations, Pages 1-71
two - Matrices and Determinants, Pages 73-145
three - Vector Spaces and Linear Transformations, Pages 147-189
four - Characteristic Values, Pages 191-211
five - Linear Differential Equations, Pages 213-281
six - Systems of Differential Equations, Pages 283-366
seven - Series Solutions, Pages 367-417
eight - Numerical Methods, Pages 419-441
nine - Laplace Transforms, Pages 443-479
References, Pages 481-482
Answers to Selected Exercises, Pages 483-514
Index, Pages 515-518