Mathematics for Economics and Business,
Mathematics for Economics and Business,
Mathematics for Economics and Business
This comprehensive textbook is designed to provide students with a solid foundation in mathematics for economics and business. It covers all the essential topics, from basic algebra and calculus to more advanced concepts such as optimization and linear programming. The clear and concise explanations, along with numerous examples and practice problems, make it easy for students to understand and apply mathematical principles to real-world economic and business scenarios.
The book is written by experienced professors and experts in the field, ensuring that the content is accurate and up-to-date. It also includes practical applications and case studies, making it a valuable resource for students studying economics, business, or related fields. The user-friendly layout and organization of the book make it easy to navigate and find the information needed.
Whether you are a beginner or have some prior knowledge of mathematics, this book is suitable for all levels. It provides a solid foundation for students to build upon and prepares them for more advanced courses in economics and business. With its comprehensive coverage and practical approach, Mathematics for Economics and Business is a reliable and essential resource for any student in these fields.
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Table of Content
Table of Content
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
Case study 1
Formal mathematics
Multiple-choice questions
Examination questions
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
Case study 2
Formal mathematics
Multiple-choice questions
Examination questions
CHAPTER 3 Mathematics of Finance
3.1 Percentages
3.2 Compound interest
3.3 Geometric series
3.4 Investment appraisal
Case study 3
Formal mathematics
Multiple-choice questions
Examination questions
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
Case study 4
Formal mathematics
Multiple-choice questions
Examination questions
CHAPTER 5 Partial Differentiation
5.1 Functions of several variables
5.2 Partial elasticity and marginal functions
5.3 Comparative statics
5.4 Unconstrained optimisation
5.5 Constrained optimisation
5.6 Lagrange multipliers
Case study 5
Formal mathematics
Multiple-choice questions
Examination questions
CHAPTER 6 Integration
6.1 Indefinite integration
6.2 Definite integration
Case study 6
Formal mathematics
Multiple-choice questions
Examination questions
CHAPTER 7 Matrices
7.1 Basic matrix operations
7.2 Matrix inversion
7.3 Cramer's rule
Case study 7
Formal mathematics
Multiple-choice questions
Examination questions
CHAPTER 8 Linear Programming
8.1 Graphical solution of linear programming problems
8.2 Applications of linear programming
Case study 8
Formal mathematics
Multiple-choice questions
Examination questions
CHAPTER 9 Dynamics
9.1 Difference equations
9.2 Differential equations
Case study 9
Formal mathematics
Multiple-choice questions
Examination questions
Answers to Problems