Canonical Duality Theory - Unified Methodology for Multidisciplinary Study (Hardcover, 1st ed. 2017)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Advances in Mechanics and Mathematics, 37
Release date:	October 2017
First published:	2017
Editors:	David Yang Gao • Vittorio Latorre • Ning Ruan
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	377
Edition:	1st ed. 2017
ISBN-13:	978-3-319-58016-6
Categories:	Books > Science & Mathematics > Mathematics > Optimization > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Classical mechanics > General
LSN:	3-319-58016-7
Barcode:	9783319580166

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