Mathematics for Economics / Edition 2

Mathematics for Economics / Edition 2

by Michael Hoy, John Livernois, Chris McKenna, Ray Rees
     
 

ISBN-10: 0262082942

ISBN-13: 9780262082945

Pub. Date: 07/27/2001

Publisher: MIT Press

This book offers a comprehensive presentation of the mathematics required to tackle problems in economic analysis. To give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics rather than that of an economics course. After a review of the fundamentals of sets, numbers, and functions, the book covers limits…  See more details below

Overview

This book offers a comprehensive presentation of the mathematics required to tackle problems in economic analysis. To give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics rather than that of an economics course. After a review of the fundamentals of sets, numbers, and functions, the book covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics. To develop the student's problem-solving skills, the book works through a large number of examples and economic applications. The second edition includes simple game theory, l'Hôpital's rule, Leibniz's rule, and a more intuitive development of the Hamiltonian. An instructor's manual is available.

Product Details

ISBN-13:
9780262082945
Publisher:
MIT Press
Publication date:
07/27/2001
Edition description:
second edition
Pages:
1143
Product dimensions:
8.00(w) x 9.00(h) x 1.75(d)

Table of Contents

Preface
Pt. IIntroduction and Fundamentals
Ch. 1Introduction3
Ch. 2Review of Fundamentals11
Ch. 3Sequences, Series, and Limits67
Pt. IIUnivariate Calculus and Optimization
Ch. 4Continuity of Functions115
Ch. 5The Derivative and Differential for Functions of One Variable155
Ch. 6Optimization of Functions of One Variable227
Pt. IIILinear Algebra
Ch. 7Systems of Linear Equations279
Ch. 8Matrices317
Ch. 9Determinants and the Inverse Matrix353
Ch. 10Some Advanced topics in Linear Algebra405
Pt. IVMultivariate Calculus
Ch. 11Calculus for Functions of n-Variables455
Ch. 12Optimization of Functions of n-Variables545
Ch. 13Constrained Optimization585
Ch. 14Comparative Statics631
Ch. 15Concave Programming and the Kuhn-Tucker Conditions677
Pt. VIntegration and Dynamic Methods
Ch. 16Integration701
Ch. 17An Introduction to Mathematics for Economic Dynamics753
Ch. 18Linear, First-Order Difference Equations763
Ch. 19Nonlinear, First-Order Difference Equations789
Ch. 20Linear, Second-Order Difference Equations811
Ch. 21Linear, First-Order Differential Equations849
Ch. 22Nonlinear, First-Order Differential Equations879
Ch. 23Linear, Second-Order Differential Equations897
Ch. 24Simultaneous Systems of Differential and Difference Equations929
Ch. 25Optimal Control Theory999
AppComplex Numbers and Circular Functions1081
Answers1091
Index1123

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