Kythe, Prem K. <br/><br/>
Elements of concave analysis and applications 
Prem K. Kythe 
 - Boca Raton, Florida :  CRC Press,  c2018. 
 - xxii, 356 p. :  ill. ;  25 cm. 
<br/><br/>
<br/><br/>Preface1 Matrix Algebra2 Differential Calculus3 Concave and Convex Functions4 Concave Programming5 Convex Programming6 Quasi-Concave Functions7 Quasi-Convex Functions8 Log-concave Functions9 Quadratic Programming10 Optimal Control Theory11 Demands12 Black-Scholes EquationAppendices:A Probability TopicsB Differentiation of OperatorsC DistributionsD Laplace TransformsE Implicit Function TheoremF Locally Nonsatiated Function. 
<br/><br/> Concave analysis deals mainly with concave and quasi-concave functions, although convex and quasi-convex functions are considered because of their mutual inherent relationship. The aim of Elements of Concave Analysis and Applications is to provide a basic and self‐contained introduction to concepts and detailed study of concave and convex functions. It is written in the style of a textbook, designed for courses in mathematical economics, finance, and manufacturing design. The suggested prerequisites are multivariate calculus, ordinary and elementary PDEs, and elementary probability theory. 
<br/><br/><label>ISBN: </label>9781138705289 
<br/><br/><label>LCCN: </label>2018006905 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Concave functions--Textbooks<br/>Convex functions--Textbooks<br/>Functions of real variables--Textbooks<br/>Matrices--Textbooks
<br/><br/><label>Dewey Class. No.: </label>515.88 KY EL