Mathematics for Economics & Business, 7th edition
By Ian Jacques
December 2012
Pearson Education
Distributed by Trans-Atlantic Publications
ISBN: 9780273763567
325 pages, Illustrated
$57.50 Paper Original
With its friendly and informal style, this market leading text breaks down topics into short sections making learning each new technique seem less daunting. With plenty of practice problems, it provides opportunities to stop and check understanding and allows students to learn at their own pace.
Contents:
Preface
Guided tour of the textbook
Guided tour of the online resources
Introduction: Getting Started
Notes for students: how to use this book
CHAPTER 1 Linear Equations
1.1 Introduction to algebra
1.2 Further algebra
1.3 Graphs of linear equations
1.4 Algebraic solution of simultaneous linear equations
1.5 Supply and demand analysis
1.6 Transposition of formulae
1.7 National income determination
Formal mathematics
CHAPTER 2 Non-linear Equations
2.1 Quadratic functions
2.2 Revenue, cost and profit
2.3 Indices and logarithms
2.4 The exponential and natural logarithm functions
Formal mathematics
CHAPTER 3 Mathematics of Finance
3.1 Percentages
3.2 Compound interest
3.3 Geometric series
3.4 Investment appraisal
Formal mathematics
CHAPTER 4 Differentiation
4.1 The derivative of a function
4.2 Rules of differentiation
4.3 Marginal functions
4.4 Further rules of differentiation
4.5 Elasticity
4.6 Optimisation of economic functions
4.7 Further optimisation of economic functions
4.8 The derivative of the exponential and natural logarithm functions
Formal mathematics
CHAPTER 5 Partial Differentiation
5.1 Functions of several variables
5.2 Partial elasticity and marginal functions
5.3 Comparative statics
5.4 Unconstrained optimization
5.5 Constrained optimization
5.6 Lagrange multipliers
Formal mathematics
CHAPTER 6 Integration
6.1 Indefinite integration
6.2 Definite integration
Formal mathematics
CHAPTER 7 Matrices
7.1 Basic matrix operations
7.2 Matrix inversion
7.3 Cramer's rule
Formal mathematics
CHAPTER 8 Linear Programming
8.1 Graphical solution of linear programming problems
8.2 Applications of linear programming
Formal mathematics
CHAPTER 9 Dynamics
9.1 Difference equations
9.2 Differential equations
Formal mathematics
Answers to Problems
Glossary
Index
The following additional material is available as part of the online resources supporting this title either at www.pearsoned.co.uk/jacques or included in MyMathLab.
Solutions to Problems
Excel
Maple
Advanced Topics
AT1 Differentiation from First Principles
AT2 Implicit Differentiation
AT3 Hessians
AT4 Input-Output Analysis
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