Guide To Essential Math - A Review For Physics, Chemistry And Engineering Students


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Guide to Essential Math WHAT IS THE COMPLEMENTARY SCIENCE SERIES? The Complementary Science Series is an introductory, interdisplinary, and relatively inexpensive series of paperbacks for science enthusiasts. The series covers core subjects in chemistry, physics, and biological sciences but often from an interdisciplinary perspective. They are deliberately unburdened by excessive pedagogy, which is distracting to many readers, and avoid the often plodding treatment in many textbooks. These titles cover topics that are particularly appropriate for self-study although they are often used as complementary texts to supplement standard discussion in textbooks. Many are available as examination copies to professors teaching appropriate courses. The series was conceived to fill the gaps in the literature between conventional textbooks and monographs by providing real science at an accessible level, with minimal prerequisites so that students at all stages can have expert insight into important and foundational aspects of current scientific thinking. Many of these titles have strong interdisciplinary appeal and all have a place on the bookshelves of literate laypersons. More information on titles appearing in the Complementary Science Series may be viewed at http://books.elsevier.com We hope you will enjoy this book. Guide to Essential Math A review for Physics, Chemistry and Engineering Students S. M. Blinder University of Michigan Ann Arbor USA AMSTERDAM • BOSTON • HEIDELBERG • LONDON NEW YORK • OXFORD • PARIS • SAN DIEGO SAN FRANCISCO • SINGAPORE • SYDNEY • TOKYO Academic Press is an imprint of Elsevier ACADEMIC PRESS Academic Press is an imprint of Elsevier 84 Theobald’s Road, London WC1X 8RR, UK Radarweg 29, PO Box 211, 1000 AE Amsterdam, The Netherlands Linacre House, Jordan Hill, Oxford OX2 8DP, UK 30 Corporate Drive, Suite 400, Burlington, MA 01803, USA 525 B Street, Suite 1900, San Diego, CA 92101-4495, USA First edition 2008 c 2008, Elsevier Inc. All rights reserved. Copyright  No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means electronic, mechanical, photocopying, recording or otherwise without the prior written permission of the publisher. Permissions may be sought directly from Elsevier’s Science & Technology Rights Department in Oxford, UK: phone (+44) (0) 1865 843830; fax (+44) (0) 1865 853333; email: [email protected] Alternatively you can submit your request online by visiting the Elsevier web site at http://elsevier.com/locate/permissions, and selecting Obtaining permission to use Elsevier material Notice No responsibility is assumed by the publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. Because of rapid advances in the medical sciences, in particular, independent verification of diagnoses and drug dosages should be made. ISBN: 978-0-12-374264-3 For information on all Academic Press publications visit our web site at www.elsevierdirect.com Printed and bound in United States of America 08 09 10 11 12 10 9 8 7 6 5 4 3 2 1 In honor of our son Matthew Bryant Blinder on the occasion of his 21st birthday This page intentionally left blank  To the Reader Let me first tell you how the idea for this book came about. Many years ago, when I was a young assistant professor, I enthusiastically began my college teaching in a junior-level course that was supposed to cover quantum mechanics. I was eager to share my recently acquired insights into the intricacies of this very
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