Mathematics for Economists

Contents:

Part I Introduction: One-Variable Calculus: Foundations • One-Variable Calculus: Applications • One-Variable Calculus: Chain Rule • Exponents and Logarithms • Part II Linear Algebra: Introduction to Linear Algebra • Systems of Linear Equations • Matrix Algebra • Determinants: An Overview • Euclidean Spaces • Linear Independence • Part II Calculus of Several Variables: Limits and Open Sets Functions of Several Variables • Calculus of Several Variables • Implicit Functions and their Derivatives • Part IV Optimization: Quadratic forms and Definite Matrices • Unconstrained Optimization • Constrained Optimization I: First Order Conditions • Constrained Optimization II • Homogeneous and Omothetic Functions • Concave and Quasiconcave Functions • Economic Applications • Part V Eigenvalues and Dynamics: Eigenvalues and Eigenvectors • Ordinary Differential Equations: Scalar Equations • Ordinary Differential Equations: Systems of Equations ?Part VI Advanced Linear Algebra: Determinants : the Details • Subspaces Attached to a Matrix • Applications of Linear Independence • Part VII: Advanced Analysis: Limits and Compact Sets • Calculus of Several Variables II • Part VIII Appendices: Sets, Numbers, and Proofs • Trigonometric Functions • Complex Numbers • Integral Calculus • Introduction to Probability • Selected Answers • Index

About the Author:

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 Caroline. 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, University of Tel Aviv.