This book is a self-contained treatment of all the mathematics needed by undergraduate and beginning-graduate students of economics. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra and easily accessible introductions to optimisation and dynamics. The emphasis throughout is on intuitive argument and problem-solving. All methods are illustrated by well-chosen examples and exercises selected from central areas of modern economic analysis. New features of the second edition include: > a thorough exposition of dynamic optimisation in discrete and continuous time > an introduction to the rigorous mathematical analysis used in graduate-level economics The book's careful arrangement in short chapters enables it to be used in a variety of course formats for students with and without prior knowledge of calculus, as well as for reference and self-study.