rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Duality Principles in Nonconvex Systems
    sub title: Theory, Methods and Applications
  name:
    name part: Gao, David Yang.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 2000
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xviii, 454 pages)
  abstract: Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergrad…
  note: by David Yang Gao.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical optimization
  subject:
    topic: Mechanics
  subject:
    topic: Mathematical optimization
  subject:
    topic: Mathematics
  subject:
    topic: Mechanics
  classification: QA315-316
  classification: QA402.3
  classification: QA402.5-QA402.6
  classification: 515.64
  related item:
    title info:
      title: Nonconvex optimization and its applications ; 39
  identifier: 9781475731767 (electronic bk.)
  identifier: 1475731760 (electronic bk.)
  identifier: 9781441948250
  identifier: 1441948252
  identifier: 1475731760
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130125
    record change date: 20260422223656.7
    record identifier: in00003558244
    language of cataloging:
      language term: eng