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: Fundamentals of Convex Analysis
    sub title: Duality, Separation, Representation, and Resolution
  name:
    name part: Panik, Michael J.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    date issued: 1993
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xxii, 296 pages)
  abstract: Fundamentals of Convex Analysis offers an in-depth look at some of the fundamental themes covered within an area of mathematical analysis called convex analysis. In particular, it explores the topics of duality, separation, representation, and resolution. 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. Fundamentals of Convex Analysis 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. 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.
  note: by Michael J. Panik.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Discrete groups
  subject:
    topic: Mathematical optimization
  subject:
    topic: Economics
  subject:
    topic: Discrete groups
  subject:
    topic: Economics
  subject:
    topic: Mathematical optimization
  subject:
    topic: Mathematics
  classification: QA639.5-640.7
  classification: QA640.7-640.77
  classification: 516.1
  related item:
    title info:
      title: Theory and decision library. 24
      part number: Series B
      part name: Mathematical and statistical methods
  identifier: 9789401581240 (electronic bk.)
  identifier: 940158124X (electronic bk.)
  identifier: 9789048142712
  identifier: 9048142717
  identifier: 940158124X
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121205
    record change date: 20260422165939.3
    record identifier: in00003565416
    language of cataloging:
      language term: eng