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Canonical Duality Theory

Unified Methodology for Multidisciplinary Study

Language EnglishEnglish
Book Paperback
Book Canonical Duality Theory David Yang Gao
Libristo code: 21374827
Publishers Springer International Publishing AG, August 2018
This book on canonical duality theory provides a comprehensive review of its philosophical origin, p... Full description
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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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About the book

Full name Canonical Duality Theory
Author David Yang Gao, Vittorio Latorre, Ning Ruan
Language English
Binding Book - Paperback
Date of issue 2018
Number of pages 377
EAN 9783319863054
Libristo code 21374827
Publishers Springer International Publishing AG
Weight 593
Dimensions 155 x 235 x 21

Categories

Mathematics & Science > Mathematics > Optimization
Mathematics & Science > Physics > Classical mechanics
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