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Introductory mathematical economics

Author: D Wade Hands
Publisher: New York : Oxford University Press, 2004.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:

Providing an overview of computational mathematics and a series of key economics problems using "higher mathematics", this book presents a mix of classical and contemporary economic theory. It also  Read more...

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Genre/Form: Lehrbuch
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: D Wade Hands
ISBN: 0195133781 9780195133783
OCLC Number: 50841114
Description: xvii, 381 pages : illustrations ; 24 cm
Contents: Review of mathematics. Some basic mathematical concepts ; Calculus ; Matrices and related topics --
Economic applications of one-variable calculus. Applications of one-variable calculus from introductory economics ; Optimization examples from introductory economics ; Introduction to concavity and convexity --
Economic applications of multivariate calculus. Partial derivatives and the total difference in economics ; Homogeneous functions ; Homothetic functions ; Concave functions in n variables --
Comparative statics I : One and two variables with and without optimization. Equilibrium comparative statics in one and two dimensions ; Comparative statics with optimization in one and two dimensions ; Comparative statics with both equilibrium and optimization --
Integration, time, and uncertainty in economics. Integration ; Time ; Uncertainty --
Introduction to continuous time dynamics in one and two dimensions. Single-market competitive equilibrium ; Examples of one-variable dynamic economic models ; Multiple-market competitive equilibrium ; A macroeconomic example ; An alternative notion of stability --
Matrices and economic theory. Submatrices and minors ; Cramer's rule in economics ; Inverse- and implicit-function theorems ; A special class of matrices : M matrices ; The Leontief input-output system ; Quadratic forms and definiteness --
Comparative statics II : n variables with and without optimization. Equilibrium comparative statics in n dimensions ; Comparative statics with optimization in n dimensions --
Comparative statics III : Optimization under constraint. The Lagrange technique : first- and second-order conditions ; A specific utility function ; Choice between labor and leisure ; Comparative statics from constrained optimization : two approaches ; Consumer choice : the n-good case ; Additively separable utility functions --
Inequality constraints in optimization theory. A simple inequality constraint ; The general Kuhn-Tucker theorem ; Economic examples of Kuhn-Tucker theory ; Linear programming.
Responsibility: D. Wade Hands.
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