Mathematics for economists: An introductory textbook, fifth edition

Self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics starting from a very low level. Topics covered include calculus, matrix algebra, probability, dynamics and static and dynamic optimisation, all illustrated by examples and problems from central areas of modern economics. 'This is the best mathematics for economists textbook that I have come across.'Paul S. Segerstrom, Professor of International Economics, Stockholm School of EconomicsThis book, now in its fifth edition, is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics: calculus, matrix algebra, probability, optimisation and dynamics. The emphasis throughout is on intuitive argument and problem-solving, illustrated by well-chosen examples, exercises and problems selected from central areas of modern economic analysis.Mathematics for economists prioritises active learning and practical applications, examining the reasons why results are true and how they are related. Clear, systematic and building up gently from an elementary level, the book can be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study. This revised fifth edition includes several hundred exercises and substantially increased problems, with a greater focus on economic applications. Two brand new chapters cover linear algebra and convex analysis for masters-level students of economics. Answers to all exercises and complete solutions to all problems are available online from a regularly updated website. This book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics, econometrics and finance. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra. The second half of the book gives a thorough account of probability, dynamics and static and dynamic optimisation. The last four chapters are an accessible introduction to the rigorous mathematical analysis used in graduate-level economics. The emphasis throughout is on intuitive argument and problem-solving. All methods are illustrated by examples, exercises and problems selected from central areas of modern economic analysis. The book's careful arrangement in short chapters enables it to be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study.The preface and full table of contents for the new edition, together with answers to exercises and solutions to problems, are available from https://www.manchesterhive.com/mathematics-for-economists-supplementary-materials