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Jan Awrejcewicz, Vadim A. Krysko "Introduction to Asymptotic Methods"

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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	Science/Engineering Asymptotic Methods For The Fokker-Planck Equation And The Exit Problem In Applications
	Science/Engineering Advanced Mathematical Methods for Scientists and Engineers: Asymptotic C. M. Bender, & S. A. Orszag, " Advanced Mathematical Methods for Scientists and Engineers: Asymptotic "Springer \| ISBN: 0387989315 \| 1 edition (October 29, 1999) \| 593 pages \| djvu \| 8 MB“This book gives a clear, practical and self-c ...
	Science/Engineering Asymptotic Methods in the Buckling Theory of Elastic Shells Andrei L. Smirnov, Petr E. Tovstik, «Asymptotic Methods in the Buckling Theory of Elastic Shells»World Scientific Publishing Company \| ISBN: 9810247265 \| 2001-10 \| PDF \| 360 pages \| 10.6 MBThis book contains solutions to the most typical ...
	Study Asymptotic Methods in Equations of Mathematical Physics B. Vainberg "Asymptotic Methods in Equations of Mathematical Physics"CRC \| English \| 1989-02-25 \| ISBN: 2881246648 \| 498 pages \| DJVU \| 2,6 MBThis book provides a single source for both students and advanced researchers on asymptotic method ...
	From Finite Sample to Asymptotic Methods in Statistics From Finite Sample to Asymptotic Methods in StatisticsPublisher: Cambridge University Press \| Pages: 400 \| 2009-10-30 \| ISBN 0521877229 \| PDF \| 2 MBExact statistical inference may be employed in diverse fields of science and technolo ...
	Science/Engineering Asymptotic and Hybrid Methods in Electromagnetics I. Andronov, D. Bouche F. Molinet, "Asymptotic and Hybrid Methods in Electromagnetics" The Institution of Engineering and Technology \| 2005 \| ISBN: 0863414478 \| 249 pages \| PDF \| 1,1 MB Asymptotic methods provide considerable physical i ...

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	Science/Engineering Asymptotic Methods For The Fokker-Planck Equation And The Exit Problem In Applications
	Science/Engineering Advanced Mathematical Methods for Scientists and Engineers: Asymptotic C. M. Bender, & S. A. Orszag, " Advanced Mathematical Methods for Scientists and Engineers: Asymptotic "Springer \| ISBN: 0387989315 \| 1 edition (October 29, 1999) \| 593 pages \| djvu \| 8 MB“This book gives a clear, practical and self-c ...
	Science/Engineering Asymptotic Methods in the Buckling Theory of Elastic Shells Andrei L. Smirnov, Petr E. Tovstik, «Asymptotic Methods in the Buckling Theory of Elastic Shells»World Scientific Publishing Company \| ISBN: 9810247265 \| 2001-10 \| PDF \| 360 pages \| 10.6 MBThis book contains solutions to the most typical ...
	Study Asymptotic Methods in Equations of Mathematical Physics B. Vainberg "Asymptotic Methods in Equations of Mathematical Physics"CRC \| English \| 1989-02-25 \| ISBN: 2881246648 \| 498 pages \| DJVU \| 2,6 MBThis book provides a single source for both students and advanced researchers on asymptotic method ...
	From Finite Sample to Asymptotic Methods in Statistics From Finite Sample to Asymptotic Methods in StatisticsPublisher: Cambridge University Press \| Pages: 400 \| 2009-10-30 \| ISBN 0521877229 \| PDF \| 2 MBExact statistical inference may be employed in diverse fields of science and technolo ...
	Science/Engineering Asymptotic and Hybrid Methods in Electromagnetics I. Andronov, D. Bouche F. Molinet, "Asymptotic and Hybrid Methods in Electromagnetics" The Institution of Engineering and Technology \| 2005 \| ISBN: 0863414478 \| 249 pages \| PDF \| 1,1 MB Asymptotic methods provide considerable physical i ...

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