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A Course in Number Theory and Cryptography (Record no. 81667)

000 -LEADER
fixed length control field 04103nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-1-4419-8592-7
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221102211539.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1994 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441985927
-- 978-1-4419-8592-7
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4419-8592-7
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA241-247.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT022000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.7
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Koblitz, Neal.
Relator term author.
Relationship aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 66529
245 12 - TITLE STATEMENT
Title A Course in Number Theory and Cryptography
Medium [electronic resource] /
Statement of responsibility, etc. by Neal Koblitz.
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 1994.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 1994.
300 ## - PHYSICAL DESCRIPTION
Extent X, 235 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Graduate Texts in Mathematics,
International Standard Serial Number 2197-5612 ;
Volume/sequential designation 114
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note I. Some Topics in Elementary Number Theory -- 1. Time estimates for doing arithmetic -- 2. Divisibility and the Euclidean algorithm -- 3. Congruences -- 4. Some applications to factoring -- II. Finite Fields and Quadratic Residues -- 1. Finite fields -- 2. Quadratic residues and reciprocity -- III. Cryptography -- 1. Some simple cryptosystems -- 2. Enciphering matrices -- IV. Public Key -- 1. The idea of public key cryptography -- 2. RSA -- 3. Discrete log -- 4. Knapsack -- 5 Zero-knowledge protocols and oblivious transfer -- V. Primality and Factoring -- 1. Pseudoprimes -- 2. The rho method -- 3. Fermat factorization and factor bases -- 4. The continued fraction method -- 5. The quadratic sieve method -- VI. Elliptic Curves -- 1. Basic facts -- 2. Elliptic curve cryptosystems -- 3. Elliptic curve primality test -- 4. Elliptic curve factorization -- Answers to Exercises. .
520 ## - SUMMARY, ETC.
Summary, etc. . . . both Gauss and lesser mathematicians may be justified in rejoic­ ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica­ tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the­ ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number theory.
9 (RLIN) 13208
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number Theory.
9 (RLIN) 13208
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
9 (RLIN) 66530
773 0# - HOST ITEM ENTRY
Title Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781461264422
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387942933
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781441985934
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate Texts in Mathematics,
International Standard Serial Number 2197-5612 ;
Volume/sequential designation 114
9 (RLIN) 66531
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-1-4419-8592-7">https://doi.org/10.1007/978-1-4419-8592-7</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eTextbook

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