E-Book Overview
The Chemistry Maths Book provides a complete course companion suitable for students at all levels. All the most useful and important topics are covered, with numerous examples of applications in chemistry and the physical sciences. Taking a clear, straightforward approach, the book develops ideas in a logical, coherent way, allowing students progressively to build a thorough working understanding of the subject.Topics are organized into three parts: algebra, calculus, differential equations, and expansions in series; vectors, determinants and matrices; and numerical analysis and statistics. The extensive use of examples illustrates every important concept and method in the text, and are used to demonstrate applications of the mathematics in chemistry and several basic concepts in physics. The exercises at the end of each chapter, are an essential element of the development of the subject, and have been designed to give students a working understanding of the material in the text.Online Resource Centre:The Online Resource Centre features the following resources for registered adopters of the text:- Figures from the book in electronic format, ready to download- Full worked solutions to all end of chapter exercises
E-Book Content
The Chemistry Maths Book Second Edition
Erich Steiner University of Exeter
without mathematics the sciences cannot be understood, nor made clear, nor taught, nor learned. (Roger Bacon, 1214–1292)
1
3
Great Clarendon Street, Oxford OX2 6DP Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide in Oxford New York Auckland Cape Town Dar es Salaam Hong Kong Karachi Kuala Lumpur Madrid Melbourne Mexico City Nairobi New Delhi Shanghai Taipei Toronto With offices in Argentina Austria Brazil Chile Czech Republic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore South Korea Switzerland Thailand Turkey Ukraine Vietnam Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries Published in the United States by Oxford University Press Inc., New York © E. Steiner 2008 The moral rights of the authors have been asserted Database right Oxford University Press (maker) First published 1996 Second edition published 2008 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above You must not circulate this book in any other binding or cover and you must impose the same condition on any acquirer British Library Cataloguing in Publication Data Data available Library of Congress Cataloging in Publication Data Data available Typeset by Graphicraft Limited, Hong Kong Printed in Great Britain on acid-free paper by Ashford Colour Press Ltd, Gosport, Hampshire ISBN 978–0–19–920535–6 1 3 5 7 9 10 8 6 4 2
Preface This book describes the mathematics required for the full range of topics that make up a university degree course in chemistry. It has been designed as a textbook for courses in ‘mathematics for chemists’. Structure of the book
The subject is developed in a logical and consistent way with few assumptions made of prior knowledge of mathematics. The material is organized in three largely independent parts: Chapters 1 to 15 on algebra, the calculus, differential equations, and expansions in series; Chapters 16 to 19 on vectors, determinants, and matrices; Chapters 20 and 2