An updated edition of a widely used textbook, offering a clear and comprehensive presentation of mathematics for undergraduate economics students.This text offers a clear and comprehensive presentation of the mathematics required to tackle problems in economic analyses, providing not only straightforward exposition of mathematical methods for economics students at the intermediate and advanced undergraduate levels but also a large collection of problem sets. This updated and expanded fourth edition contains numerous worked examples drawn from a range of important areas, including economic theory, environmental economics, financial economics, public economics, industrial organization, and the history of economic thought. These help students develop modeling skills by showing how the same basic mathematical methods can be applied to a variety of interesting and important issues. The five parts of the text cover fundamentals, calculus, linear algebra, optimization, and dynamics. The only prerequisite is high school algebra; the book presents all the mathematics needed for undergraduate economics. New to this edition are "Reader Assignments," short questions designed to test students' understanding before they move on to the next concept. The book's website offers additional material, including more worked examples (as well as examples from the previous edition). Separate solutions manuals for students and instructors are also available.

Preface xiiiGlossary of Worked Examples xvPart I Introduction of Fundamentals Chapter 1Introduction 3Chapter 2Review of the Fundamentals 19Chapter 3 Sequences, Series, and Limits 75Part II Univariate Calculus and OptimizationChapter 4 Continuity of Functions 119Chapter 5 The Derivative and Differential of Functions of One Variable 145Chapter 6 Optimization of Functions of One Variable 225Part III Linear AlgebraChapter 7Linear Equations and Vector Spaces 287Chapter 8 Matrices 333Chapter 9 Determinants and the Inverse Matrix 365Chapter 10Further Topics in Linear Algebra 407Part IV Multivariate Calculus Chapter 11Calculus for Functions of n Variables 443Chapter 12 Optimization of Functions of n Variables 519Chapter 13Constrained Optimization 551Chapter 14Comparative Statics 597Chapter 15Nonlinear Programming and the Kuhn-Tucker Conditions 635Part V Integration and Dynamic MethodsChapter 16 Integration 681Chapter 17An Introduction to Mathematics for Economic Dynamics 731Chapter 18Linear, First-Order Difference Equations 743Chapter 19Nonlinear, First-Order Difference Equations 767Chapter 20Linear, Second-Order Difference Equations 783Chapter 21Linear, First-Order Differential Equations 817Chapter 22Nonlinear, First-Order Differential Equations 843Chapter 23Linear, Second-Order Differential Equations 857Chapter 23Simultaneous Systems of Differential and Difference Equations 885Chapter 25Optimal Control Theory 949References and Further Reading 1025Answers 1027Index 1061