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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.
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Contenuti
0. Preface. 1. Preliminary Mathematics. 2. Convex Sets in R n . 3. Separation and Support Theorems. 4. Convex Cones in R n . 5. Existence Theorems for Linear Systems. 6. Theorems of the Alternative for Linear Systems. 7. Basic Solutions and Complementary Slackness in Pairs of Dual Systems. 8. Extreme Points and Directions for Convex Sets. 9. Simplicial Topology and Fixed Point Theorems. References. Notation Index. Index.
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Book by Panik MJ
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- EditoreKluwer Academic Print on Demand
- Data di pubblicazione1993
- ISBN 10 0792322797
- ISBN 13 9780792322795
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine322
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FUNDAMENTALS OF CONVEX ANALYSIS: DUALITY, SEPARATION, REPRESENTATION, AND RESOLUTION
Editore:
Kluwer Academic Publishers, Dordrecht, Boston, London, 1993
ISBN 10: 0792322797
ISBN 13: 9780792322795
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Hardcover. Octavo, ix, xxii, 294 pages. In Very Good condition. Bound in the publisher's white/yellow cloth bearing black lettering to the spine. Boards have mild wear including few, light scuffs and slight sunning to the head edge. Text block edges show very light wear. Previous owner's bookplate to the front pastedown. Illustrated. NOTE: Shelved in Netdesk Column H, ND-H. 1378781. FP New Rockville Stock. Codice articolo 1378781
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Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution (Theory and Decision Library B, 24)
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FUNDAMENTALS OF CONVEX ANALYSIS
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Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution
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Hardcover. Condizione: Very Good. Condizione sovraccoperta: None Issued. The author's own copy, with some related letters from colleagues in the same field laid in at the front. Text is unmarked; pages are bright. Binding is sturdy. Cover show some light wear around the corners and at the head and base of the spine. No dust jacket, as issued. 294pp. Codice articolo 067628
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Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution (Theory and Decision Library B, 24)
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Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution (Theory and Decision Library B, 24)
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Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution (Theory and Decision Library B, 24)
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Fundamentals of Convex Analysis
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. Codice articolo 5966795
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Fundamentals of Convex Analysis : Duality, Separation, Representation, and Resolution
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Springer Netherlands, Springer Netherlands, 1993
ISBN 10: 0792322797
ISBN 13: 9780792322795
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780792322795
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Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution
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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 661. Codice articolo C9780792322795
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