Generalized Concavity
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.
- A classic text, just as important today as when it was first published in 1988
- Accessible as an introduction to the subject for those from diverse disciplines
- For use by researchers and graduate students in this field
Product details
November 2010Paperback
9780898718966
344 pages
228 × 152 × 17 mm
0.47kg
This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
- Preface to the Classics edition
- Preface
- Corrections and comments
- 1. Introduction
- 2. Concavity
- 3. Generalized concavity
- 4. Application of generalized concavity to economics
- 5. Special functional forms I: composite functions, products, and ratios
- 6. Special functional forms II: quadratic functions
- 7. Fractional programming
- 8. Concave transformable functions
- 9. Additional generalizations of concavity
- Supplementary bibliography
- Author index
- Subject index.