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Canonical duality theoryunified meth...

Gao, David Yang.

Canonical duality theoryunified methodology for multidisciplinary study /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Canonical duality theoryedited by David Yang Gao, Vittorio Latorre, Ning Ruan.
Reminder of title:	unified methodology for multidisciplinary study /
other author:	Gao, David Yang.
Published:	Cham :Springer International Publishing :2017.
Description:	viii, 377 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Duality theory (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-58017-3
ISBN:	9783319580173$q(electronic bk.)

Canonical duality theoryunified methodology for multidisciplinary study /
Canonical duality theoryunified methodology for multidisciplinary study /[electronic resource] :edited by David Yang Gao, Vittorio Latorre, Ning Ruan. - Cham :Springer International Publishing :2017. - viii, 377 p. :ill., digital ;24 cm. - Advances in mechanics and mathematics,v.371571-8689 ;. - Advances in mechanics and mathematics ;v. 17..

This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory's role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.

ISBN: 9783319580173$q(electronic bk.)

Standard No.: 10.1007/978-3-319-58017-3doiSubjects--Topical Terms:

243402
Duality theory (Mathematics)

LC Class. No.: QA564 / .C366 2017

Dewey Class. No.: 515.782

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520 $a This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory's role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.
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