This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.
Introduction
vii
Algebra and Arithmetic Reviews and Self-Tests
1
(26)
Review of Fundamentals
27
(7)
Sequences, Series, and Limits
34
(6)
Continuity of Functions
40
(11)
The Derivative and Differential for Functions of One Variable
51
(8)
Optimization of Functions of One Variable
59
(6)
Systems of Linear Equations
65
(2)
Matrices
67
(3)
Determinants and the Inverse Matrix
70
(5)
Some Advanced Topics in Linear Algebra
75
(3)
Calculus for Functions of n-Variables
78
(7)
Optimization of Functions of n-Variables
85
(10)
Constrained Optimization
95
(4)
Comparative Statics
99
(10)
Concave Programming and the Kuhn-Tucker Conditions
109
(6)
Integration
115
(8)
Linear, First-Order Difference Equations
123
(2)
Nonlinear, First-Order Difference Equations
125
(3)
Linear, Second-Order Difference Equations
128
(3)
Linear, First-Order Differential Equations
131
(2)
Nonlinear, First-Order Differential Equations
133
(2)
Linear, Second-Order Differential Equations
135
(2)
Simultaneous Systems of Differential and Difference Equations
