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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
Determinants: An Overview
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
Constrained Optimization I: First Order Conditions
Constrained Optimization II
Homogeneous and Omothetic Functions
Concave and Quasiconcave Functions
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
Introduction to Probability