Introduction to Ordinary Differential Equations
eBook - PDF

Introduction to Ordinary Differential Equations

Second Enlarged Edition with Applications

  1. 536 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Introduction to Ordinary Differential Equations

Second Enlarged Edition with Applications

Book details
Table of contents
Citations

About This Book

Introduction to Ordinary Differential Equations, Second Edition provides an introduction to differential equations. This book presents the application and includes problems in chemistry, biology, economics, mechanics, and electric circuits. Organized into 12 chapters, this edition begins with an overview of the methods for solving single differential equations. This text then describes the important basic properties of solutions of linear differential equations and explains higher-order linear equations. Other chapters consider the possibility of representing the solutions of certain linear differential equations in terms of power series. This book discusses as well the important properties of the gamma function and explains the stability of solutions and the existence of periodic solutions. The final chapter deals with the method for the construction of a solution of the integral equation and explains how to establish the existence of a solution of the initial value system. This book is a valuable resource for mathematicians, students, and research workers.

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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 & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483263854
Edition
2
Topic
Mathematics
Subtopic
Calculus
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 I. Introduction to Differential Equations
  7. Chapter II. Linear Differential Equations
  8. Chapter III. Series Solutions
  9. Chapter IV. Bessel Functions
  10. Chapter V. Orthogonal Polynomials
  11. Chapter VI. Eigenvalue Problems
  12. Chapter VII. Fourier Series
  13. Chapter VIII. Systems of Differential Equations
  14. Chapter IX. Laplace Transforms
  15. Chapter X. Partial Differential Equations and Boundary Value Problems
  16. XI. The Phase Plane
  17. Chapter XII. Existenceand Uniqueness of Solutions
  18. Appendix
  19. Answers to Selected Exercises
  20. Subject Index