08-02-2010, 02:11 AM
Handbook of Exact Solutions for Ordinary Differential Equations, 2nd Edition
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Author:Andrei Polyanin Valentin F. Zaitsev Andrei D. Polyanin
Hardcover: 816 pages
Publisher: Chapman and Hall/CRC; 2 edition (October 29, 2002)
Language: English
ISBN-10: 1584882972
ISBN-13: 9781584882978
Review
…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
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 functionsThis 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.
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***************************************The equations of motion in the dynamics of structures are ordinary differential equations.
Simply the seismic response of structures can be concluded into solving ordinary differential equations.
This book helps you get the mathematical knowledge of the subject. In conclusion, the
better you grasp ordinary differential equations, the better analysis of dynamics of structures you'll grasp.