Foundations of Mathematical Economics

By: Michael Carter

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Paperback | 3 December 2001

At a Glance

Paperback
365 Pages

Age
18+

Dimensions(cm)
22.6 x 17.9 x 3.0

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This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.

Industry Reviews

"This book should be an obvious choice for graduate courses or as a research reference. The integration of exercises and economic applications is especially helpful." --Larry Samuelson, Department of Economics, University of Wisconsin-Madison

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You Can Find This Book In

Non-Fiction Mathematics Optimisation Game Theory Economics Econometrics Economic Theory & Philosophy Accounting & Finance Finance

Introduction
A Note to the Reader
Sets and Spaces	p. 1
Sets	p. 1
Ordered Sets	p. 9
Metric Spaces	p. 45
Linear Spaces	p. 66
Normed Linear Spaces	p. 114
Preference Relations	p. 130
Functions	p. 145
Functions as Mappings	p. 145
Monotone Functions	p. 186
Continuous Functions	p. 210
Fixed Point Theorems	p. 232
Linear Functions	p. 263
Properties of Linear Functions	p. 269
Affine Functions	p. 276
Linear Functionals	p. 277
Bilinear Functions	p. 287
Linear Operators	p. 295
Systems of Linear Equations and Inequalities	p. 306
Convex Functions	p. 323
Homogeneous Functions	p. 351
Separation Theorems	p. 358
Smooth Functions	p. 417
Linear Approximation and the Derivative	p. 417
Partial Derivatives and the Jacobian	p. 429
Properties of Differentiable Functions	p. 441
Polynomial Approximation	p. 457
Systems of Nonlinear Equations	p. 467
Convex and Homogeneous Functions	p. 483
Optimization	p. 497
Introduction	p. 497
Unconstrained Optimization	p. 503
Equality Constraints	p. 516
Inequality Constraints	p. 549
Comparative Statics	p. 601
The Envelope Theorem	p. 603
Optimization Models	p. 609
Equilibrium Models	p. 622
References	p. 635
Index of Symbols	p. 641
General Index	p. 643
Table of Contents provided by Blackwell. All Rights Reserved.

Foundations of Mathematical Economics

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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