An Introduction to the Geometry of Numbers
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in Mathematics J.W.5. Cassels An Introduction to the Geometry of Numbers
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J.W.s. Cassels
An Introduction to the Geometry of Numbers Reprint of the 1971 Edition
Springer
J.W.S. Cassels University of Cambridge Department of Pure Mathematics and Mathematical Statistics 16, Mill Lane CB2 ISB Cambridge United Kingdom
Originally published as Vol. 99 of the Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen
Mathematics Subject Classification (1991): lOExx
ClP data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Cassels, John W.S.: An introduction to the geometry of numbers I J.W.S. Cassels - Reprint of the 1971 ed. - Berlin; Heidelberg; New York; Barcelona; Budapest; Hong Kong; London; Milan; Paris; Santa Clara; Singapore; Tokyo: Springer. 1997 (Classics in mathematics) ISBN-13: 978-3-540-61788-4 e-ISBN-13: 978-3-642-62035-5 DOl: 10.1007/978-3-642-62035-5
This work is subject to copyright. All rights are reserved. whether the whole or part of the material is concerned. specifically the rights of translation. reprinting. reuse of illustrations. recitation. broadcasting. reproduction on microfilm or in any other way. and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9.1965. in its current version. and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1997
The use of general descriptive names. registered names. trademarks 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. SPIN 10554506
41/3143-543210- Printed on acid-free paper
J. W. S. Cassels
An Introduction to the Geometry of Numbers Second Printing, Corrected
Springer-Verlag Berlin· Heidelberg· New York 1971
Prof. Dr. J. W. S. Cassels Professor of Mathematics. University of Cambridge, G. B.
Geschiiftsfuhrende Herausgeber:
Prof. Dr. B. Eckmann Eidgeniissische Technische Hochschule Zurich
Prof. Dr. B. L. van der Waerden Mathematisches Institut der Universitat Zurich
AMS Subject Classifications (1970): 10 E xx
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies arc made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. @ by Springer-Verlall Berlin· Heidelberg 1959, 1971. Library of Congress Catalog Card Number 75-154801.
Preface Of making many bookes there is no end, and much st
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