Introduction to Ordinary Differential Equations
eBook - PDF

Introduction to Ordinary Differential Equations

Academic Press International Edition

  1. 444 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Ordinary Differential Equations

Academic Press International Edition

Book details
Table of contents
Citations

About This Book

Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.

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Yes, you can access Introduction to Ordinary Differential Equations by Albert L. Rabenstein in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483226224
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Introduction to Ordinary Differential Equations
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER 1. LINEAR DIFFERENTIAL EQUATIONS
  7. CHAPTER 2. FURTHER PROPERTIES OF LINEAR DIFFERENTIAL EQUATIONS
  8. CHAPTER 3. COMPLEX VARIABLES
  9. CHAPTER 4. SERIES SOLUTIONS
  10. CHAPTER 5. BESSEL FUNCTIONS
  11. CHAPTER 6. ORTHOGONAL POLYNOMIALS
  12. CHAPTER 7. EIGENVALUE PROBLEMS
  13. CHAPTER 8. FOURIER SERIES
  14. CHAPTER 9. SYSTEMS OF DIFFERENTIAL EQUATIONS
  15. CHAPTER 10. LAPLACE TRANSFORMS
  16. CHAPTER 11. PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY-VALUE PROBLEMS
  17. CHAPTER 12. NONLINEAR DIFFERENTIAL EQUATIONS
  18. APPENDIX
  19. ANSWERS TOMISCELLANEOUS EXERCISES
  20. INDEX