Mathematics for Economists: An Introductory Textbook

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Manchester University Press, 2001 - Business & Economics - 613 pages
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This text for undergraduates provides a thorough and self-contained treatment of all the mathematics commonly taught in honours degree economics. Features include extensive coverage of linear algebra, emphasizing its links with calculus and differential equations.
 

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Contents

LINEAR EQUATIONS
1
LINEAR INEQUALITIES
19
SETS AND FUNCTIONS
35
VI
52
QUADRATICS INDICES AND LOGARITHMS
53
SEQUENCES AND SERIES
69
INTRODUCTION TO DIFFERENTIATION
86
METHODS OF DIFFERENTIATION
107
IMPLICIT RELATIONS
271
OPTIMISATION WITH SEVERAL VARIABLES
294
PRINCIPLES OF CONSTRAINED OPTIMISATION
318
FURTHER TOPICS IN CONSTRAINED OPTIMISATION
347
Vlll
370
ASPECTS OF INTEGRAL CALCULUS
398
INTRODUCTION TO DYNAMICS
415
THE CIRCULAR FUNCTIONS
442

MAXIMA AND MINIMA
121
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
147
APPROXIMATIONS
165
MATRIX ALGEBRA
184
SYSTEMS OF LINEAR EQUATIONS
203
DETERMINANTS AND QUADRATIC FORMS
224
FUNCTIONS OF SEVERAL VARIABLES
245
COMPLEX NUMBERS
466
FURTHER DYNAMICS
483
EIGENVALUES AND EIGENVECTORS
511
DYNAMIC SYSTEMS
533
Notes on Further Reading
570
Index
607

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