Gems of Geometry
Based on a series of lectures for adult students at Reading and Oxford University in the UK, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious e
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John Barnes
Gems of Geometry Second Edition
John Barnes Caversham, England
ISBN 978-3-642-30964-9 (eBook) ISBN 978-3-642-30963-2 DOI 10.1007/978-3-642-30964-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012946175 Mathematics Subject Classification: 00-XX, 37-XX, 51-XX, 54-XX, 83-XX © Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Bobby, Janet, Helen, Christopher and Jonathan
Preface It is now three years since the first edition of this book was published in 2009. Moreover, I have recently given the lectures on which it is based twice more as part of the Continuing Education program of Oxford University in England. Experience of doing this gave me valuable feedback and suggested a little more material which could be added and so I was delighted when Springer asked me to prepare a second edition. Second editions are also an opportunity to remove blunders in the first edition (and hopefully not add too many more). Also, I am told that this new edition will be produced using print-on-demand technology and so can remain in print for evermore! The first edition was based on lectures given several times at Reading University in England. One might wonder why I gave these lectures. I h
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