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03006nam a22004575i 4500 |
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|a 9783319580173
|9 978-3-319-58017-3
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|a 10.1007/978-3-319-58017-3
|2 doi
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|a QA402.5-402.6
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|a PBU
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|a MAT003000
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|a 519.6
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|a Canonical Duality Theory
|h [electronic resource] :
|b Unified Methodology for Multidisciplinary Study /
|c edited by David Yang Gao, Vittorio Latorre, Ning Ruan.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2017.
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300 |
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|a VIII, 377 p. 67 illus., 60 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Advances in Mechanics and Mathematics,
|x 1571-8689 ;
|v 37
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|a 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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650 |
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|a Mathematics.
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|a Mathematical optimization.
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650 |
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|a Mathematics.
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|a Optimization.
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|a Classical Mechanics.
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700 |
1 |
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|a Gao, David Yang.
|e editor.
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700 |
1 |
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|a Latorre, Vittorio.
|e editor.
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700 |
1 |
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|a Ruan, Ning.
|e editor.
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710 |
2 |
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|a SpringerLink (Online service)
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773 |
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|t Springer eBooks
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776 |
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8 |
|i Printed edition:
|z 9783319580166
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830 |
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|a Advances in Mechanics and Mathematics,
|x 1571-8689 ;
|v 37
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856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-319-58017-3
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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950 |
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|a Mathematics and Statistics (Springer-11649)
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