{"product_id":"duality-principles-in-nonconvex-systems-theory-methods-and-applications-von-david-yang-gao","title":"Duality Principles in Nonconvex Systems","description":"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. \u003cbr\u003e  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. \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e 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 alsobe  recommended as a text for both senior undergraduate and graduate  courses in applied mathematics, mechanics, general engineering science  and other areas in which the notions of optimization and variational  methods are employed.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781441948250\"\u003e\u003ch3\u003eTheory, Methods and Applications\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780792361459\"\u003e\u003ch3\u003eTheory, Methods and Applications\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9781441948250","offer_id":39415557947485,"sku":"9781441948250","price":160.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9780792361459","offer_id":50828592518,"sku":"9780792361459","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/398d277b-9441-4719-a84c-785e3299ed5d.jpg?v=1774757025","url":"https:\/\/shop.autorenwelt.de\/en\/products\/duality-principles-in-nonconvex-systems-theory-methods-and-applications-von-david-yang-gao","provider":"Autorenwelt Shop","version":"1.0","type":"link"}