[...]... material, so that the students who gave up mathematics some years ago because they thought that they could not cope with A-level maths are able to build up their confidence, this is not a watered-down mathematics without tears or effort’ type of textbook As the book progresses the pace is increased and students are expected to put in a serious amount of time and effort to master the material However, given... the University of Adelaide, Australia, for their help in checking the answers to the questions I am also indebted to my colleague at Coventry, Keith Redhead, for his advice on the revised chapter on financial mathematics, to Gurpreet Dosanjh for his help in checking the second edition proofs, and to the two anonymous publisher’s referees whose comments helped me to formulate this revised second edition... manuscript, Mrs M Fyvie and Chandrika Chauhan for their help in typing earlier drafts, and Mick Hayes for his help in checking the proofs The comments I have received from those people who have used the first edition have been very helpful for the revisions and corrections made in this second edition I would particularly like to thank Alison Johnson at the Centre for International Studies in Economics, SOAS,... will find these changes helpful Mike Rosser Coventry © 1993, 2003 Mike Rosser Acknowledgements Microsoft Windows and Microsoft Excel are registered trademarks of the Microsoft Corporation Screen shot(s) reprinted by permission from Microsoft Corporation I am still grateful to those who helped in the production of the first edition of this book, including Joy Warren for her efficiency in typing the final... master the material However, given the way in which this material is developed, it is hoped that students will be motivated to do so Not everyone finds mathematics easy, but at least it helps if you can see the reason for having to study it © 1993, 2003 Mike Rosser Preface to Second Edition The approach and style of the first edition have proved popular with students and I have tried to maintain both in... retitled ‘Exponential functions, continuous growth and differential equations’ A new section on part-year investment has been added and the section on interest rates rewritten in Chapter 7, which is now called ‘Financial mathematics – series, time and investment’ There are also new sections on the reduced form of an economic model and the derivation of comparative static predictions, in Chapter 5 using... worked examples Although the first edition was originally aimed at less mathematically able students, many others have also found it useful, some as a foundation for further study in mathematical economics and others as a helpful reference for specific topics that they have had difficulty understanding The main changes introduced in this second edition are a new chapter on matrix algebra (Chapter 15)... not least, I wish to acknowledge the help of my students in shaping the way that this book was originally developed and has since been revised I, of course, am responsible for any remaining errors or omissions © 1993, 2003 Mike Rosser . Business School at Coventry University. © 1993, 2003 Mike Rosser Basic Mathematics for Economists Second Edition Mike Rosser © 1993, 2003 Mike Rosser First edition published 1993 by Routledge This. Unconstrained optimization 9.1 First-order conditions for a maximum 9.2 Second-order condition for a maximum 9.3 Second-order condition for a minimum 9.4 Summary of second-order conditions 9.5 Profit. Master e-book ISBN ISBN 0-2 0 3-4 243 9-5 (Adobe eReader Format) © 1993, 2003 Mike Rosser Contents Preface Preface to Second Edition Acknowledgements 1 Introduction 1.1 Why study mathematics? 1.2 Calculators