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[null,"1.","Record Nr.",null,"UNINA9910254286903321"]
[null,null,"Titolo",null,"Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / / edited by David Yang Gao, Vittorio Latorre, Ning Ruan"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017"]
[null,null,"ISBN",null,"3-319-58017-5"]
[null,null,"Edizione",null,"[1st ed. 2017.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 377 p. 67 illus., 60 illus. in color.)"]
[null,null,"Collana",null,"Advances in Mechanics and Mathematics, , 1876-9896 ; ; 37"]
[null,null,"Disciplina",null,"515.782"]
[null,null,"Soggetti",null,"Mathematical optimization"]
[{"$nulls":4},"Mechanics"]
[{"$nulls":4},"Optimization"]
[{"$nulls":4},"Classical Mechanics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Sommario/riassunto","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. ."]