Handbook of Exact Solutions for Ordinary Differential Equations  book cover
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2nd Edition

Handbook of Exact Solutions for Ordinary Differential Equations




ISBN 9781584882978
Published October 28, 2002 by Chapman & Hall
816 Pages 4 B/W Illustrations

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Book Description

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including:

  • An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations
  • The addition of solutions to more than 1200 nonlinear equations
  • An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily
  • Expansion of the supplement on special functions

    This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.
  • Table of Contents

    Introduction: Some Definitions, Formulas, Methods, and Transformations. First-Order Differential Equations. Second-Order Differential Equations. Third-Order Differential Equations. Fourth-Order Differential Equations. Higher-Order Differential Equations. Supplements. References. Index.

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    Reviews

    "…I have been reading the Polyanin books "Handbook of Linear Partial Differential Equations for Engineers and Scientists" and "Handbook of Exact Solutions for Ordinary Differential Equations". I think these books are extraordinary, and are destined to become classics … CRC Press has provided an invaluable service to science and engineering by publishing these books."
    - William Schiesser, Lehigh University

    "In summary, this is a very useful and easy-to-read handbook for anyone involved in ordinary differential equations..."
    - SIAM Review, 1997, on the first edition

    "This best-selling handbook ... is now in its second edition and has been substantially updated and improved ... book is highly recommended for mathematicians, scientists, and
    engineers. It would be a useful edition to academic sci-tech libraries, including those that already have the first edition."
    - Holly Flynn in E-STREAM