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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… mais…

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Duality Principles in Nonconvex System (Hardback) - David Yang Gao
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ISBN: 9780792361459

A digital copy of "Duality Principles in Nonconvex System (Hardback)" by David Yang Gao. Download is immediately available upon purchase! 9780792361459,0792361458,duality,principles,nonco… mais…

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David Yang Gao:
Duality Principles in Nonconvex Systems - encadernada, livro de bolso

2000

ISBN: 0792361458

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

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Yang Gao, David:
DUALITY PRINCIPLES IN NONCONVEX - encadernada, livro de bolso

2000, ISBN: 0792361458

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Duality Principles in Nonconvex Systems : Theory, Methods and Applications - Yang Gao, David
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Yang Gao, David:
Duality Principles in Nonconvex Systems : Theory, Methods and Applications - encadernada, livro de bolso

ISBN: 9780792361459

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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.

Dados detalhados do livro - 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
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer
472 Páginas
Peso: 0,865 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-10-16T09:38:53-02:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2023-11-27T12:19:24-03:00 (Sao Paulo)
Número ISBN/EAN: 9780792361459

Número ISBN - Ortografia alternativa:
0-7923-6145-8, 978-0-7923-6145-9
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: yang, gao, mono volume
Título do livro: optimization theory methods, optimization methods applications, duality principles nonconvex systems, theory and applications


Dados da editora

Autor: David Yang Gao
Título: Nonconvex Optimization and Its Applications; Duality Principles in Nonconvex Systems - Theory, Methods and Applications
Editora: Springer; Springer US
454 Páginas
Ano de publicação: 2000-01-31
New York; NY; US
Peso: 1,860 kg
Língua: Inglês
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XVIII, 454 p.

BB; Calculus of Variations and Optimal Control; Optimization; Hardcover, Softcover / Mathematik/Sonstiges; Optimierung; Verstehen; Mathematica; applied mathematics; deformation; dynamical systems; engineering mechanics; functional analysis; mechanics; optimization; Optimization; Classical Mechanics; Applications of Mathematics; Calculus of Variations and Optimization; Optimization; Classical Mechanics; Applications of Mathematics; Klassische Mechanik; Angewandte Mathematik; BC; EA

Preface. Acknowledgments. Part I: Symmetry in Convex Systems. 1. Mono-Duality in Static Systems. 2. Bi-Duality in Dynamical Systems. Part II: Symmetry Breaking: Triality Theory in Nonconvex Systems. 3. Tri-Duality in Nonconvex Systems. 4. Multi-Duality and Classifications of General Systems. Part III: Duality in Canonical Systems. 5. Duality in Geometrically Linear Systems. 6. Duality in Finite Deformation Systems. 7. Applications, Open Problems and Concluding Remarks. Appendices. References. Index.

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