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Introduction to Asymptotic Methods (Paperback): David Y. Gao, Vadim A. Krysko Introduction to Asymptotic Methods (Paperback)
David Y. Gao, Vadim A. Krysko
R1,954 Discovery Miles 19 540 Ships in 12 - 17 working days

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, Pade 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.

Advances in Applied Mathematics and Global Optimization - In Honor of Gilbert Strang (Paperback, Softcover reprint of hardcover... Advances in Applied Mathematics and Global Optimization - In Honor of Gilbert Strang (Paperback, Softcover reprint of hardcover 1st ed. 2009)
David Y. Gao, Hanif D. Sherali
R4,565 Discovery Miles 45 650 Ships in 10 - 15 working days

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.

Advances in Applied Mathematics and Global Optimization - In Honor of Gilbert Strang (Hardcover, 1st Edition.
2nd Printing.... Advances in Applied Mathematics and Global Optimization - In Honor of Gilbert Strang (Hardcover, 1st Edition. 2nd Printing. 2009)
David Y. Gao, Hanif D. Sherali
R4,832 Discovery Miles 48 320 Ships in 10 - 15 working days

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.

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