Elementary Differential Equations

Kenneth Kuttler

November 8, 2017 by Chapman and Hall/CRC
Textbook - 574 Pages - 89 B/W Illustrations
ISBN 9781138740914 - CAT# K32362
Series: Textbooks in Mathematics

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Features

  • Focuses on techniques with requisite theory
  • Avoids emphasizing abstract vector spaces
  • Presents a unique chapter on separation of variables of partial differential equations
  • Emphasizes MATLAB use throughout
  • Includes several appendixes, including one of Poincare Bendixon theorem, as well as solutions

Summary

Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential equations as a part of analysis.

Differential equations is worth studying, rather than merely some recipes to be used in physical science. The text gives substantial emphasis to methods which are generally presented first with theoretical considerations following. Essentially all proofs of the theorems used are included, making the book more useful as a reference.

The book mentions the main computer algebra systems, yet the emphasis is placed on MATLAB and numerical methods which include graphing the solutions and obtaining tables of values.

Featured applications are easily understood. Complete explanations of the mathematics and emphasis on methods for finding solutions are included.