Generalized Concavity (Classics in Applied Mathematics)

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9780898718966: Generalized Concavity (Classics in Applied Mathematics)
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Originally published in 1988, this enduring text remains the most comprehensive book on generalized convexity and concavity. The authors present generalized concave functions in a unified framework, exploring them primarily from the domains of optimization and economics.

Concavity of a function is a common property used in most of the important theorems concerning properties of optimization problems in mathematical economics, operations research, mathematical programming, engineering, and management science. Generalized concavity deals with the many nonconcave functions that have properties similar to those of concave functions.

Specific topics covered in this book include:a review of concavity and the basics of generalized concavity; applications of generalized concavity to economics; special function forms such as composite forms, products, ratios, and quadratic functions; fractional programming; and concave transformable functions.

Audience: Mathematicians, economists, computational mathematicians, management scientists, operations researchers, and optimization theorists will find this book useful.

Contents: Preface to the Classics Edition; Preface; Chapter 1: Introduction; Chapter 2: Concavity; Chapter 3: Generalized Concavity; Chapter 4: Application of Generalized Concavity to Economics; Chapter 5: Special Functional Forms I: Composite Functions, Products, and Ratios; Chapter 6: Special Functional Forms II: Quadratic Functions; Chapter 7: Fractional Programming; Chapter 8: Concave Transformable Functions; Chapter 9: Additional Generalizations of Concavity; Supplementary Bibliography; Author Index; Subject Index.

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Book Description:

A comprehensive introduction to the field of generalised convexity/concavity for graduates and researchers. This will be useful to those working in a wide variety of disciplines: mathematicians, economists, computational mathematicians, management scientists and optimization theorists.

About the Author:

Mordecai Avriel is Director of Analytical Development at Bank Hapoalim in Tel Aviv, Israel, and is Professor Emeritus of the Faculty of Industrial Engineering and Management at Technion Israel Institute of Technology.

Walter E. Diewert is Professor of Economics at the University of British Columbia.

Siegfried Schaible is Chair Professor in the Department of Applied Mathematics at Chung Yuan Christian University, Chung-Li, Taiwan. He has published a great deal of original research in both generalized convexity and generalized monotonicity, and in 1996 he founded the international Working Group on Generalized Convexity.

Israel Zang is President of the Academic College of Tel-Aviv-Yaffo and a Professor Emeritus of the Recanati Faculty of Management at Tel Aviv University..

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Book Description Society for Industrial & Applied Mathematics,U.S., United States, 2010. Paperback. Condition: New. Language: English. Brand new Book. Concavity of a function is used as a hypothesis in most of the important theorems concerning extremum problems in mathematical economics, optimization, engineering and management science. Generalized concavity refers to the many nonconcave functions that have properties similar to concave functions. Originally published in 1988, this enduring text presents: a review of concavity and the basics of generalized concavity; applications of generalized concavity to economics; special function forms such as composite forms, products, ratios and quadratic functions; fractional programming; and concave transformable functions. Seller Inventory # AAN9780898718966

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Book Description Society for Industrial & Applied Mathematics,U.S., United States, 2010. Paperback. Condition: New. Language: English. Brand new Book. Concavity of a function is used as a hypothesis in most of the important theorems concerning extremum problems in mathematical economics, optimization, engineering and management science. Generalized concavity refers to the many nonconcave functions that have properties similar to concave functions. Originally published in 1988, this enduring text presents: a review of concavity and the basics of generalized concavity; applications of generalized concavity to economics; special function forms such as composite forms, products, ratios and quadratic functions; fractional programming; and concave transformable functions. Seller Inventory # AAN9780898718966

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