{"product_id":"9780792322795","title":"Theory and Decision Library B: Duality, Separation, Representation, and Resolution","description":"\u003ch1\u003eTheory and Decision Library B: Duality, Separation, Representation, and Resolution\u003c\/h1\u003e \u003ch2\u003ePanik, M.J.\u003c\/h2\u003e \u003cp\u003e\u003cem\u003eFundamentals of Convex Analysis\u003c\/em\u003e offers an in-depth look  at some of the fundamental themes covered within an area of  mathematical analysis called \u003cem\u003econvex analysis\u003c\/em\u003e. In particular, it  explores the topics of \u003cem\u003eduality\u003c\/em\u003e, \u003cem\u003eseparation\u003c\/em\u003e,  \u003cem\u003erepresentation\u003c\/em\u003e, and \u003cem\u003eresolution\u003c\/em\u003e. The work is intended for  students of economics, management science, engineering, and  mathematics who need exposure to the mathematical foundations of  matrix games, optimization, and general equilibrium analysis. It is  written at the advanced undergraduate to beginning graduate level and  the only formal preparation required is some familiarity with set  operations and with linear algebra and matrix theory. \u003cem\u003eFundamentals  of\u003c\/em\u003e \u003cem\u003eConvex Analysis\u003c\/em\u003e is self-contained in that a brief review  of the essentials of these tool areas is provided in Chapter 1.  Chapter exercises are also provided.\u003cbr\u003e  Topics covered include: convex sets and their properties; separation  and support theorems; theorems of the alternative; convex cones; dual  homogeneous systems; basic solutions and complementary slackness;  extreme points and directions; resolution and representation of  polyhedra; simplicial topology; and fixed point theorems, among  others. A strength of this work is how these topics are developed in a  fully integrated fashion. \u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1993-06-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792322795\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-015-8124-0\u003c\/p\u003e \u003cp\u003eDimensions: 234cm x156cm\u003c\/p\u003e \u003cp\u003ePages: 296\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46539723866252,"sku":"9780792322795","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792322795.jpg?v=1775679919","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780792322795","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}