Preface
1 Matrix Algebra
2 Differential Calculus
3 Concave and Convex Functions
4 Concave Programming
5 Convex Programming
6 Quasi-Concave Functions
7 Quasi-Convex Functions
8 Log-concave Functions
9 Quadratic Programming
10 Optimal Control Theory
11 Demands
12 Black-Scholes Equation
Appendices:
A Probability Topics
B Differentiation of Operators
C Distributions
D Laplace Transforms
E Implicit Function Theorem
F Locally Nonsatiated Function
Biography
Prem K. Kythe is a Professor Emeritus of Mathematics at the University of New Orleans. He is the author/co-author of 11 books and author of 46 research papers. His research interests encompass the fields of complex analysis, continuum mechanics, and wave theory, including boundary element methods, finite element methods, conformal mappings, PDEs and boundary value problems, linear integral equations, computation integration, fundamental solutions of differential operators, Green’s functions, and coding theory.
