I PRELIMINARIES

1. 1 Essentials of Logic and Set Theory
2. 2 Algebra
3. 3 Solving Equations
4. 4 Functions of One Variable
5. 5 Properties of Functions

II SINGLE-VARIABLE CALCULUS

1. 6 Differentiation
2. 7 Derivatives in Use
3. 8 Concave and Convex Functions
4. 9 Optimization
5. 10 Integration
6. 11 Topics in Finance and Dynamics

III MULTI-VARIABLE ALGEBRA

1. 12 Matrix Algebra
2. 13 Determinants, Inverses, and Quadratic Forms

IV MULTI-VARIABLE CALCULUS

1. 14 Multivariable Functions
2. 15 Partial Derivatives in Use
3. 16 Multiple Integrals

V MULTI-VARIABLE OPTIMIZATION

1. 17 Unconstrained Optimization
2. 18 Equality Constraints
3. 19 Linear Programming
4. 20 Nonlinear Programming

Acquire the key mathematical skills you need to master and succeed in economics 

Essential Mathematics for Economic Analysis, 6th edition by Sydsaeter, Hammond, Strom and Carvajal is a global best-selling text that provides an extensive introduction to all the mathematical tools you need to study economics at intermediate level. 

This book has been applauded for its scope and covers a broad range of mathematical knowledge, techniques and tools, progressing from elementary calculus to more advanced topics. With a wealth of practice examples, questions and solutions integrated throughout, as well as opportunities to apply them in specific economic situations, this book will help you develop key mathematical skills as your course progresses.

Key features:

- Numerous exercises and worked examples throughout each chapter allow you to practise skills and improve techniques.

- Review exercises at the end of each chapter test your understanding of a topic, allowing you to progress with confidence.

- Solutions to exercises are provided in the book and online, showing you the steps needed to arrive at the correct answer.

The late Knut Sydsaeter was Emeritus Professor of Mathematics in the Economics Department at the University of Oslo, where he had taught mathematics for economists for over 45 years.

Peter Hammond is currently Professor of Economics at the University of Warwick, where he moved in 2007 after becoming an Emeritus Professor at Stanford University. He has taught mathematics for economists at both universities, as well as at the universities of Oxford and Essex.

Arne Strom is Associate Professor Emeritus at the University of Oslo and has extensive experience in teaching mathematics for economists in the Department of Economics there.

Andres Carvajal is an Associate Professor in the Department of Economics at University of California, Davis.

Pearson, the world’s learning company.

A wide range of mathematical techniques offers your students essential knowledge from theory to practice.

• Some of the topics studied in the book include Algebra, functions, optimisation, derivatives, and linear and non-linear programming.
• The text further discusses the practical application of mathematical knowledge, introducing your students to the economist way of thinking.

A clear pedagogical structure supports better understanding.

• Numerous exercises and worked examples throughout each chapter allow students to practice skills and improve techniques.
• Review exercises at the end of each chapter to test your students' understanding of a topic, allowing them to progress confidently.
• Solutions to exercises are provided in the book and online.

• Updated extensive content coverage, exercises, and worked examples
• NEW! A new Chapter 8 considers concave and convex functions of one variable, including results on supergradients of concave functions and subgradients of convex functions that play a key role in the theory of optimisation
• NEW! A new Chapter 16 on multiple integrals.
• REVISED! Chapter 13 has been extended to include eigenvalues and quadratic forms.
• REVISED! Numerous exercises and worked examples throughout each chapter allow your students to practice skills and improve techniques.
• REVISED! Review exercises at the end of each chapter to test your students' understanding of a topic before they progress with confidence.
• A revised structure enhances student engagement
• NEW! Matrix algebra is introduced earlier in this edition and now precedes the chapter on multivariate calculus. This allows new tools to be used in the treatment of multivariate calculus and in the last four chapters, now devoted exclusively to optimization.
• NEW! The chapter on constrained optimisation has been divided to form two new chapters: Chapters 18 and 20.
• REVISED! Solutions to exercises are provided in the book and online, breaking down the steps needed to arrive at the correct answer.