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Duality Principles in Nonconvex Systems
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ISBN: 9780792361459

Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a s… Plus…

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David Yang Gao:
Duality Principles in Nonconvex Systems - edition reliée, livre de poche

2000

ISBN: 0792361458

[EAN: 9780792361459], New book, [PU: Springer US], MATHEMATIK MECHANIK OPTIMIERUNG VARIATIONSRECHNUNG MATHEMATICA APPLIEDMATHEMATICS DEFORMATION DYNAMICALSYSTEMS ENGINEERINGMECHANICS FUNC… Plus…

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Yang Gao, David:
DUALITY PRINCIPLES IN NONCONVEX - edition reliée, livre de poche

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Duality Principles in Nonconvex Systems : Theory, Methods and Applications - Yang Gao, David
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Duality Principles in Nonconvex Systems: Theory, Methods and Applications (Nonconvex Optimization and Its Applications, 39, Band 39)

Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.

Informations détaillées sur le livre - Duality Principles in Nonconvex Systems: Theory, Methods and Applications (Nonconvex Optimization and Its Applications, 39, Band 39)


EAN (ISBN-13): 9780792361459
ISBN (ISBN-10): 0792361458
Version reliée
Livre de poche
Date de parution: 2007
Editeur: Springer
472 Pages
Poids: 0,865 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-10-16T13:38:53+02:00 (Paris)
Page de détail modifiée en dernier sur 2023-11-27T16:19:24+01:00 (Paris)
ISBN/EAN: 9780792361459

ISBN - Autres types d'écriture:
0-7923-6145-8, 978-0-7923-6145-9
Autres types d'écriture et termes associés:
Auteur du livre: yang, gao, mono volume
Titre du livre: optimization theory methods, optimization methods applications, duality principles nonconvex systems, theory and applications


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