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Introduction to Asymptotic Methods
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Introduction to Asymptotic Methods

by David Y. Gao , Vadim A. Krysko

Book Details

Format Hardback or Cased Book
ISBN-10 1584886773
ISBN-13 9781584886778
Publisher Taylor & Francis Inc
Imprint Chapman & Hall/CRC
Country of Manufacture GB
Country of Publication GB
Publication Date May 3rd, 2006
Print length 272 Pages
Weight 513 grams
Product Classification: Calculus & mathematical analysis
Ksh 33,300.00
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Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, this book reviews important methods of singular perturbations.
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematical-analytical treatment of various objects taken from interdisciplinary fields of mechanics, physics, and applied mathematics. This new hybrid approach will lead to results that cannot be obtained by standard theories in the field.

Emphasizing fundamental elements of the mathematical modeling process, the book provides comprehensive coverage of asymptotic approaches, regular and singular perturbations, one-dimensional non-stationary non-linear waves, Padé approximations, oscillators with negative Duffing type stiffness, and differential equations with discontinuous nonlinearities. The book also offers a method of construction for canonical variables transformation in parametric form along with a number of examples and applications. The book is applications oriented and features results and literature citations that have not been seen in the Western Scientific Community. The authors emphasize the dynamics of the development of perturbation methods and present the development of ideas associated with this wide field of research.

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