ISBN 9788130916002,Mathematics for Economists

Mathematics for Economists


Carl P. Simon


Viva Books



Viva Books

Publication Year 2010

ISBN 9788130916002

ISBN-10 8130916002


Number of Pages 956 Pages
Language (English)

Educational: Mathematics & numeracy

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