文档介绍：Number Theory in Science munication
Manfred Schroeder
Number Theory in Science
munication
With Applications in Cryptography, Physics,
Digital Information, Computing,
and Self-Similarity
Fifth Edition
123
Prof. Dr. Manfred Schroeder
Universitat¨ Gottingen¨
Inst. Physik III
Friedrich-Hund-Platz 1
37077 Gottingen¨
Germany
mrs17@
Previously published in Springer Series in Information Sciences as Volume 7
ISBN: 978-3-540-85297-1 e-ISBN: 978-3-540-85298-8
DOI -3-540-85298-8
Library of Congress Control Number: 2008936508
c Springer-Verlag Berlin Heidelberg 2009, 2006, 1997, 1986, 1984
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. Violations are
liable to prosecution under the German Copyright Law.
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.
Cover design: WMXDesign GmbH Heidelberg
Printed on acid-free paper
987654321
Dedicated to the Memory of
Hermann Minkowski
who added a fourth dimension to our World
and many more to Number Theory
Foreword
“Beauty is the first test: there is no
permanent place in the world for
ugly mathematics.”
– G. H. Hardy
Number theory has been considered since time immemorial to be the very paradigm
of pure (some would say useless) mathematics. In fact, the Chinese characters for
mathematics are Number Science.