ABSTRACT

Mathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance.

Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course.

With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics.

chapter 1|18 pages

Introduction

chapter 2|58 pages

Matrices and systems of equations

chapter 3|27 pages

Linear algebra: applications

chapter 4|39 pages

Linear programming

chapter 5|29 pages

Functions of one variable

chapter 6|44 pages

Functions of one variable: applications

chapter 8|38 pages

Taylor series

chapter 9|14 pages

Vectors

chapter 10|14 pages

Quadratic forms

chapter 11|40 pages

Multivariate optimization

chapter 12|44 pages

Equality-constrained optimization

chapter 13|30 pages

Inequality-constrained optimization

chapter 14|44 pages

Integration

chapter 15|47 pages

Eigenvalues and eigenvectors

chapter 16|31 pages

Differential equations

chapter 17|32 pages

Linear difference equations

chapter 18|33 pages

Probability and distributions

chapter 19|41 pages

Estimation and hypothesis testing