000 04005nam a22005775i 4500
001 978-3-319-58017-3
003 DE-He213
005 20210118145452.0
007 cr nn 008mamaa
008 171011s2017 gw | s |||| 0|eng d
020 _a9783319580173
_9978-3-319-58017-3
024 7 _a10.1007/978-3-319-58017-3
_2doi
050 4 _aQA402.5-402.6
072 7 _aPBU
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBU
_2thema
082 0 4 _a519.6
_223
245 1 0 _aCanonical Duality Theory
_h[electronic resource] :
_bUnified Methodology for Multidisciplinary Study /
_cedited by David Yang Gao, Vittorio Latorre, Ning Ruan.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aVIII, 377 p. 67 illus., 60 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Mechanics and Mathematics,
_x1571-8689 ;
_v37
520 _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. .
650 0 _aMathematical optimization.
650 0 _aMechanics.
650 1 4 _aOptimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26008
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
700 1 _aGao, David Yang.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aLatorre, Vittorio.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aRuan, Ning.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319580166
776 0 8 _iPrinted edition:
_z9783319580180
776 0 8 _iPrinted edition:
_z9783319863054
830 0 _aAdvances in Mechanics and Mathematics,
_x1571-8689 ;
_v37
856 4 0 _uhttps://doi.org/10.1007/978-3-319-58017-3
912 _aZDB-2-SMA
999 _c451942
_d451942
942 _cEB
506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/