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.
Michael Hoy is a faculty member in the Economics Department at the University of Guelph,
Ontario.
John Livernois is a faculty member in the Economics Department at the University of
Guelph, Ontario.
Chris McKenna is a faculty member in the Economics Department at the University of Guelph,
Ontario.
Ray Rees is a faculty member at the Ludwig Maximilians University, Munich.
Preface
I
Introduction and
Fundamentals
1 Introduction
2 Review of Fundamentals
3 Sequences, Series, and
Limits
II
Univariate Calculus and
Optimization
4 Continuity of Functions
5 The Derivative and
Differential for Functions of One Variable
6 Optimization of Functions
of One Variable
III
Linear Algebra
7 Systems of Linear
Equations
8 Matrices
9 Determinants and the
Inverse Matrix
10 Some Advanced Topics in
Linear Algebra
IV
Multivariate Calculus
11 Calculus for Functions of
n-Variables
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