2000 Mathematics Subject Classification. Primar y 11-01 , 11T71 , 94-01 , 94A60 . For additiona l informatio n an d update s o n thi s book , visi t w w w . a m s . o r g / b o o k p a g e s / m a w r l d - 2 5 Library o f Congres s Cataloging-in-Publicatio n Dat a Young, Ann e L. , 1946 - Mathematical cipher s : fro m Caesa r t o RS A / Ann e L . Young . p. cm . (Mathematica l world , ISS N 1055-942 6 v. 25 ) Includes bibliographica l reference s an d index . ISBN-13: 978-0821-3730- 6 1. Ciphers . 2 . Cryptography . 3 . Numbe r theory . I . Title . II . Series . Z104.Y68 200 6 652/.8-dc22 200604299 1 Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission shoul d b e addresse d t o th e Acquisition s Department , America n Mathematica l Society , 201 Charle s Street , Providence , Rhod e Islan d 02904-2294 , USA . Request s ca n als o b e mad e b y e-mail t o reprint-permission@ams.org . © 200 6 b y th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . Visit th e AM S hom e pag e a t http://www.ams.org / 10 9 8 7 6 5 4 3 2 1 1 1 1 0 0 9 0 8 0 7 0 6
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