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商品詳細
Canonical Duality Theory : Unified Methodology for Multidisciplinary Study. Softcover reprint of the original 1st ed. 2017.
・ISBN 978-3-319-86305-4 paper EUR 99.99
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| 著者・編者 | Gao, David Yang / Latorre, Vittorio / Ruan, Ning (eds.), |
|---|---|
| シリーズ | Advances in Mechanics and Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 377 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16492＞ |
解説
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.