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Handbook of Differential Equations, Third Edition
 
 
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Handbook of Differential Equations, Third Edition [Hardcover]

Daniel Zwillinger (Author)
5.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

0127843965 978-0127843964 November 3, 1997 3
This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.
* For nearly every technique, the book and CD-ROM provide:
* The types of equations to which the method is applicable
* The idea behind the method
* The procedure for carrying out the method
* At least one simple example of the method
* Any cautions that should be exercised
* Notes for more advanced users
* References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

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Editorial Reviews

From the Back Cover

This book is a compilation of the most widely applicable methods for solving and approximating differential equations. It provides convenient access to these methods and contains numerous examples showing their use. Topical coverage includes ordinary differential equations, partial differential equations, stochastic differential equations, delay differential equations, sympletic integration of differential equations, and the use of wavelets when numerically solving differential equations.

This book is an invaluable tool for any student studying differential equations or their applications, and is an excellent addition to the
library of any practicing engineer, using differential equations.

About the Author

(Associate Editor)


Product Details

  • Hardcover: 801 pages
  • Publisher: Academic Press; 3 edition (November 3, 1997)
  • Language: English
  • ISBN-10: 0127843965
  • ISBN-13: 978-0127843964
  • Product Dimensions: 8.8 x 6.3 x 1.6 inches
  • Shipping Weight: 2.8 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,282,644 in Books (See Top 100 in Books)

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25 of 27 people found the following review helpful:
5.0 out of 5 stars Zwillinger's Handbook of Differential Equations, April 5, 2000
This review is from: Handbook of Differential Equations, Third Edition (Hardcover)
This and its predecessor of the late 1980s are the best compendiums of differential equation solution and approximation methods that I have ever seen in terms of (a) comparison of different methods, (b) number of methods compared, (c) description of details of each method, (d) organization such as alphabetizing under each category and categorization of methods, (e) description of and comparison of where each method can be applied in the physical and other sciences, both deterministic and statistical/probabilistic ("stochastic"). This accomplishment cannot be overemphasized from the point of view of Creative Genius - in my opinion, comparing and contrasting and organizing and summarizing data and information are fundamental requirements for creative genius. The book may be intended as a reference book, but it should really be used also as a textbook provided that the teacher overviews the areas and gives some supplementary background and latest results. Both the student and reference user can easily be overwhelmed by the sheer number of methods, and I would recommend putting short descriptions of each (1-2 lines on front and 1-2 lines on back) on flash cards to keep them and their relationships fresh in your mind (shuffle the cards, learn them backwards and forwards, learn them alphabetically, in separate categories, then non-alphabetically and in mixed up categories, etc.). I would recommend that future editions list some of the unsolved equations and open research questions in the field.
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9 of 12 people found the following review helpful:
5.0 out of 5 stars Indispensable., November 30, 1999
This review is from: Handbook of Differential Equations, Third Edition (Hardcover)
For anyone that finds differential equations beautiful; for the theoretical scientist in whatever field; this is nearly as indispensable as Abromowitz and Stegun (The Big Ugly Blue Book).
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Inside This Book (learn more)
First Sentence:
Adiabatic invariant When the parameters of a physical system vary slowly under the effect of an external perturbation, some quantities are constant to any order of the variable describing the slow rate of change. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hoc exact techniques, differential resultants, scale invariant equations, unstable periodic point, value ordinary differential equations, subsidiary equations, bilinear concomitant, cosine method, regular perturbation series, hodograph transformation, order linear ordinary differential equation, fractional differential equations, given partial differential equation, equation splitting, random differential equations, alternative theorems, fourth order accurate, second order ordinary differential equations, stiff equations, finite difference formulas, first order ordinary differential equations
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, John Wiley, Book Company, Example Suppose, Springer Verlag, Academic Press, Dover Publications, Procedure Given, Runge Kutta, Procedure Suppose, Interscience Publishers, Clarendon Press, Exact Analytical Methods, Look-Up Technique, Fokker Planck, Cambridge University Press, Englewood Cliffs, Physics Comm, Monte Carlo, Government Printing Office, Lecture Notes, Sturm Lionville, Sturm Liouville, Nonlinear Analysis, Prentice Hall
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