Differential Equations
eBook - PDF

Differential Equations

A first course on ODE and a brief introduction to PDE

  1. 308 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Differential Equations

A first course on ODE and a brief introduction to PDE

About this book

This book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught in an undergraduate class, as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample exibility to make it appropriate either as a course stressing applications, or a course stressing rigor and analytical thinking. This book also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of chapters. A solutions manual, containing complete and detailed solutions to all the exercises in the book, is available to instructors who adopt the book for teaching their classes.

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Yes, you can access Differential Equations by Shair Ahmad,Antonio Ambrosetti in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2019
eBook ISBN
9783110652864
Edition
1
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Preface
  2. Acknowledgment
  3. Contents
  4. 1. A brief survey of some topics in calculus
  5. 2. First order linear differential equations
  6. 3. Analytical study of first order differential equations
  7. 4. Solving and analyzing some nonlinear first order equations
  8. 5. Exact differential equations
  9. 6. Second order linear differential equations
  10. 7. Higher order linear equations
  11. 8. Systems of first order equations
  12. 9. Phase plane analysis
  13. 10. Introduction to stability
  14. 11. Series solutions for linear differential equations
  15. 12. Laplace transform
  16. 13. A primer on equations of Sturm–Liouville type
  17. 14. A primer on linear PDE in 2D I: first order equations
  18. 15. A primer on linear PDE in 2D II: second order equations
  19. 16. The Euler–Lagrange equations in the Calculus of Variations: an introduction
  20. Bibliography
  21. Index