Dewey Class |
519.6 |
Title |
Canonical Duality Theory ([EBook]) : Unified Methodology for Multidisciplinary Study / / edited by David Yang Gao, Vittorio Latorre, Ning Ruan. |
Added Personal Name |
Gao, David Yang editor. |
Latorre, Vittorio editor. |
Ruan, Ning editor. |
Other name(s) |
SpringerLink (Online service) |
Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2017. |
Physical Details |
VIII, 377 p. 67 illus., 60 illus. in color. : online resource. |
Series |
Advances in Mechanics and Mathematics 1571-8689 ; ; 37 |
ISBN |
9783319580173 |
Summary Note |
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.?.: |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-3-319-58017-3 |
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