La Matematica per il 3+2

A textbook on Ordinary Differential Equations

Authors: Ahmad, Shair, Ambrosetti, Antonio

  • Application to applied sciences
  • Rich of exercises with a set of selected solutions
  • Concise, rigorous, clear in analyzing the solutions
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-02129-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

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 pendulum 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.

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.

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)


Table of contents (14 chapters)

  • First order linear differential equations

    Ahmad, Shair (et al.)

    Pages 1-14

  • Theory of first order differential equations

    Ahmad, Shair (et al.)

    Pages 15-34

  • First order nonlinear differential equations

    Ahmad, Shair (et al.)

    Pages 35-64

  • Existence and uniqueness for systems and higher order equations

    Ahmad, Shair (et al.)

    Pages 65-70

  • Second order equations

    Ahmad, Shair (et al.)

    Pages 71-112

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-02129-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A textbook on Ordinary Differential Equations
Authors
Series Title
La Matematica per il 3+2
Series Volume
73
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-02129-4
DOI
10.1007/978-3-319-02129-4
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XIV, 312
Topics