Generalized Concavity (Classics in Applied Mathematics) free ebook download.

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Generalized Concavity (Classics in Applied Mathematics) free ebook download

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Catalogue

Author(s):	Mordecai Avriel

Date:	2010-10-29	Format:	pdf	Language:	English	ISBN/ASIN:	0898718961
Pages:	348	OCR:		Quality:		ISBN13:	9780898718966
Uploader:	tvladb77	Upload Date:	11/16/2021 9:07:28 PM

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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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Tags: Applied Classics Generalized Mathematics

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