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101 0 $aeng
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181   $ctxt$2rdacontent
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200 10$aCanonical Duality Theory $eUnified Methodology for Multidisciplinary Study /$fedited by David Yang Gao, Vittorio Latorre, Ning Ruan
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (VIII, 377 p. 67 illus., 60 illus. in color.) 
225 1 $aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v37
311 08$a3-319-58016-7 
330   $aThis book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory?s role in bridging the gap between non-convex analysis/mechanics and global optimization.  With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields. .
410  0$aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v37
606   $aMathematical optimization
606   $aMechanics
606   $aOptimization
606   $aClassical Mechanics
615  0$aMathematical optimization.
615  0$aMechanics.
615 14$aOptimization.
615 24$aClassical Mechanics.
676   $a515.782
702   $aGao$b David Yang$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aLatorre$b Vittorio$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aRuan$b Ning$4edt$4http://id.loc.gov/vocabulary/relators/edt
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910254286903321
996   $aCanonical Duality Theory$91562436
997   $aUNINA