Ordinary Differential Equations
eBook - PDF

Ordinary Differential Equations

  1. 366 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Ordinary Differential Equations

About this book

Ordinary Differential Equations is an outgrowth of courses taught for a number of years at Iowa State University in the mathematics and the electrical engineering departments. It is intended as a text for a first graduate course in differential equations for students in mathematics, engineering, and the sciences. Although differential equations is an old, traditional, and well-established subject, the diverse backgrounds and interests of the students in a typical modern-day course cause problems in the selection and method of presentation of material. In order to compensate for this diversity, prerequisites have been kept to a minimum and the material is covered in such a way as to be appealing to a wide audience. The book contains eight chapters and begins with an introduction the subject and a discussion of some important examples of differential equations that arise in science and engineering. Separate chapters follow on the fundamental theory of linear and nonlinear differential equations; linear boundary value problems; Lyapunov stability theory; and perturbations of linear systems. Subsequent chapters deal with the Poincare-Bendixson theory and with two-dimensional van der Pol type equations; and periodic solutions of general order systems.

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Yes, you can access Ordinary Differential Equations by Richard K Miller,Anthony N. Michel in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Year
2014
Print ISBN
9780124972803
eBook ISBN
9781483259109

Table of contents

  1. Front Cover
  2. Ordinary Differential Equations
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. PREFACE
  7. ACKNOWLEDGMENTS
  8. CHAPTER 1. INTRODUCTION
  9. CHAPTER 2. FUNDAMENTAL THEORY
  10. CHAPTER 3. LINEAR SYSTEMS
  11. CHAPTER 4. BOUNDARY VALUE PROBLEMS
  12. CHAPTER 5. STABILITY
  13. CHAPTER 6. PERTURBATIONS OF LINEAR SYSTEMS
  14. CHAPTER 7. PERIODIC SOLUTIONS OF TWO-DIMENSIONAL SYSTEMS
  15. CHAPTER 8. PERIODIC SOLUTIONS OF SYSTEMS
  16. BIBLIOGRAPHY
  17. INDEX