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© 2014

A Textbook on Ordinary Differential Equations

Textbook

Part of the UNITEXT book series (UNITEXT, volume 73)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 73)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Shair Ahmad, Antonio Ambrosetti
    Pages 1-14
  3. Shair Ahmad, Antonio Ambrosetti
    Pages 15-34
  4. Shair Ahmad, Antonio Ambrosetti
    Pages 35-64
  5. Shair Ahmad, Antonio Ambrosetti
    Pages 65-70
  6. Shair Ahmad, Antonio Ambrosetti
    Pages 71-112
  7. Shair Ahmad, Antonio Ambrosetti
    Pages 113-122
  8. Shair Ahmad, Antonio Ambrosetti
    Pages 123-154
  9. Shair Ahmad, Antonio Ambrosetti
    Pages 173-182
  10. Shair Ahmad, Antonio Ambrosetti
    Pages 183-205
  11. Shair Ahmad, Antonio Ambrosetti
    Pages 207-232
  12. Shair Ahmad, Antonio Ambrosetti
    Pages 233-257
  13. Shair Ahmad, Antonio Ambrosetti
    Pages 259-276
  14. Shair Ahmad, Antonio Ambrosetti
    Pages E1-E5
  15. Back Matter
    Pages 277-312

About this book

Introduction

The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with  knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems.​


A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.

Keywords

applications to mechanics and electrical circuit theory mathematical analysis numerical analysis ordinary differential equations

Authors and affiliations

  1. 1.Department of MathematicsUniversity of Texas at San AntonioSan AntonioUSA
  2. 2.SISSATriesteItaly

About the authors

Prof. Shair Ahmad is a professor of Mathematics at the University of Texas at San Antonio.

Prof. Antonio Ambrosetti is full professor of Mathematical Analysis at SISSA, Trieste, Italy.

Bibliographic information

Reviews

From the book reviews:

“The authors include the expected topics (e.g., first-order linear differential equations, first-order nonlinear differential equations, and second-order equations) for a one-semester introductory course. In addition, they present material to move beyond the typical course work, e.g., chapters on stability theory and boundary value problems. … The textbook is very readable and can be used either in a classroom setting or for independent study. … Summing Up: Highly recommended. Lower- and upper-division undergraduates and faculty.” (S. L. Sullivan, Choice, Vol. 52 (1), September, 2014)

“This book is written as a primer for the theory and applications of ordinary differential equations (ODE). It consists of 13 chapters and an appendix. … This book provides a good introduction … to ODE’s for students in various fields.” (Ken-ichi Yoshihara, zbMATH, Vol. 1288, 2014)