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A Textbook on Ordinary Differential Equations

  • Shair Ahmad
  • Antonio Ambrosetti

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

  • Shair Ahmad
    • 1
  • Antonio Ambrosetti
    • 2
  1. 1.Department of MathematicsUniversity of Texas at San AntonioSan AntonioUSA
  2. 2.SISSATriesteItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-02129-4
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-02128-7
  • Online ISBN 978-3-319-02129-4
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site
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