A Textbook on Ordinary Differential Equations

  • Shair Ahmad
  • Antonio Ambrosetti

Part of the UNITEXT book series (UNITEXT, volume 88)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 88)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Shair Ahmad, Antonio Ambrosetti
    Pages 1-14
  3. Shair Ahmad, Antonio Ambrosetti
    Pages 15-38
  4. Shair Ahmad, Antonio Ambrosetti
    Pages 39-69
  5. Shair Ahmad, Antonio Ambrosetti
    Pages 71-77
  6. Shair Ahmad, Antonio Ambrosetti
    Pages 79-123
  7. Shair Ahmad, Antonio Ambrosetti
    Pages 125-134
  8. Shair Ahmad, Antonio Ambrosetti
    Pages 135-166
  9. Shair Ahmad, Antonio Ambrosetti
    Pages 187-197
  10. Shair Ahmad, Antonio Ambrosetti
    Pages 199-223
  11. Shair Ahmad, Antonio Ambrosetti
    Pages 225-249
  12. Shair Ahmad, Antonio Ambrosetti
    Pages 251-273
  13. Shair Ahmad, Antonio Ambrosetti
    Pages 275-292
  14. Back Matter
    Pages 293-331

About this book

Introduction

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics.

Keywords

Applications to Mechanics 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/10.1007/978-3-319-16408-3
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-16407-6
  • Online ISBN 978-3-319-16408-3
  • Series Print ISSN 2038-5714
  • About this book
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