Mathematics for Economics and Business

Support your students' learning of mathematics with a step-by-step introduction to the field.

Mathematics for Economics and Business, 10th edition, is the ultimate teaching resource for first-year students. With new case studies, questions and examples, your students will connect with real-world problems and successfully prepare for their exams.

A reader-friendly introduction to the essential principles in Mathematics for economics and business, whether you are new to economics or looking for comprehensive self-study material. Mathematics for Economics and Business, 10th edition by Ian Jacques, is the essential resource for studying Mathematics as part of your economics, management or business studies courses.

Ideal for first-year students in economics and those interested in comprehensive self-study, this book will guide you step-by-step through the key mathematical concepts and techniques you need to succeed, regardless of your level or prior quantitative knowledge.

With its accessible and informal writing style, the book is designed to allow you to progress at your own pace. The worked examples and several new case studies throughout each chapter further illustrate how mathematical concepts and techniques relate to the business world, encouraging you to solve real-world problems yourself.

Key features include:

• A wealth of examples, practice exercises and self-test questions to help you check your understanding of the topics.
• Longer exam-style problems to help you revise and improve your exam ability.

• New material that focuses on the second-order conditions for Lagrange multipliers and a new section on Lorenz curves and Gini coefficients.
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  Autorentext

Ian Jacques was formerly a Senior lecturer in the School of Mathematical and Information Sciences at Coventry University. He has considerable experience teaching mathematical methods to students studying economics, business and accounting.

Inhalt

• Preface
• INTRODUCTION: Getting Started
• Notes for students: how to use this text

• Tour of textbook features 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
• Glossary
• Index