Mathematics for Economists

Front Cover
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.

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About the author (1994)

Carl P. Simon is professor of mathematics at the University of Michigan. He received his Ph.D. from Northwestern University and has taught at the University of California, Berkeley, and the University of North Carolina. He is the recipient of many awards for teaching, including the University of Michigan Faculty Recognition Award and the Excellence in Education Award.

Lawrence Blume is professor of economics at Cornell University. He received his Ph.D. from the University of California, Berkeley, and has taught at Harvard University s Kennedy School, the University of Michigan, and the University of Tel Aviv.

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