Mathematics for economists

✍ Scribed by Carl P. Simon, Lawrence E. Blume

• Publisher: W. W. Norton & Company
• Year: 1994
• Tongue: English
• Leaves: 953
• Category: Library

✦ Synopsis

Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics,is a thoroughly modern treatment of the mathematics that underlies economic theory.

An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organization — these are the advantages that Mathematics for Economists brings to today's classroom.

✦ Table of Contents

One-variable calculus : foundations - One-variable calculus : applications - One-variable calculus : chain rule - Exponents and logarithms - Introduction to linear algebra - Systems of linear equations - Matrix algebra - Determinants : an overview - Euclidean spaces - Linear independence - Limits and open sets - Functions of several variables - Calculus of several variables - Implicit functions and their derivatives - Quadratic forms and definite matrices - Unconstrained optimization - Constrained optimization I : first order conditions - Constrained optimization - Homogeneous and homothetic functions - Concave and quasiconcave functions - Economic applications - Eigenvalues and eigenvectors - Ordinary differential equations : scalar equations - Ordinary differential equations : systems of equations - Determinants : the details - Subspaces attached to a matrix - Applications of linear independence - Limits and compact sets - Calculus of several variables