The Resource Prime numbers and computer methods for factorization, Hans Riesel, (electronic resource)

Prime numbers and computer methods for factorization, Hans Riesel, (electronic resource)

Label
Prime numbers and computer methods for factorization
Title
Prime numbers and computer methods for factorization
Statement of responsibility
Hans Riesel
Creator
Contributor
Provider
Subject
Language
eng
Summary
Published in the mid 1980s, the highly successful first edition of this title investigated the mathematical underpinnings of computer encryption, a discipline drawing heavily on the factorization of large numbers into primes. The book served a broad audience of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical inclination, treating four fundamental problems: the number of primes below a given limit, the approximate number of primes, the recognition of primes, and the factorization of large numbers. The second edition of the work, released in the mid 1990s, expanded significantly upon the original book, including important advances in computational prime number theory and factorization, as well as revised and updated tables. With explicit algorithms and computer programs, the author illustrated applications while attempting to discuss many classically important results along with more modern discoveries. Although it has been over a decade since the publication of this second edition, the theory it contained remains still highly relevant, and the particular cryptosystem it addressed (RSA public-key) is ubiquitous. Therefore, in addition to providing a historical perspective on many of the issues in modern prime number theory and data encryption, this soft cover version—which reproduces the second edition exactly as it originally appeared—offers affordable access to a great deal of valuable information. Highly readable for a wide variety of mathematicians, students of applied number theory, and others, this modern classic will be of interest to anyone involved in the study of number theory and cryptography. Reviews: Here is an outstanding technical monograph on recursive number theory and its numerous automated techniques. It successfully passes a critical milestone not allowed to many books, viz., a second edition... All in all, this handy volume continues to be an attractive combination of number-theoretic precision, practicality, and theory with a rich blend of computer science. —Zentralblatt MATH The book...is an enthusiastic introduction to some of the ideas concerned with primes and factorization. It should be of interest to anyone who would like to learn about the use of computers in number theory. —Mathematical Reviews
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1929-
http://library.link/vocab/creatorName
Riesel, Hans
Image bit depth
0
LC call number
QA246
LC item number
.R54 2012
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Modern Birkhäuser Classics
http://library.link/vocab/subjectName
  • Electronic Data Processing
  • Mathematics
  • Numbers, Prime
  • Factorization (Mathematics)
  • MATHEMATICS / Number Theory
  • Factorization (Mathematics)
  • Numbers, Prime
Label
Prime numbers and computer methods for factorization, Hans Riesel, (electronic resource)
Instantiates
Publication
Note
  • "Reprint of the 1994 edition."
  • "Originally published as Volume 126 in the series Progress in mathematics"--T.p. verso
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Color
not applicable
Contents
Preface -- The Number of Primes Below a Given Limit -- The Primes Viewed at Large -- Subtleties in the Distribution of Primes -- The Recognition of Primes -- Classical Methods of Factorization -- Modern Factorization Methods -- Prime Numbers and Cryptography -- Appendix 1. Basic Concepts in Higher Algebra -- Appendix 2. Basic concepts in Higher Arithmetic -- Appendix 3. Quadratic Residues -- Appendix 4. The Arithmetic of Quadratic Fields -- Appendix 5. Higher Algebraic Number Fields -- Appendix 6. Algebraic Factors -- Appendix 7. Elliptic Curves -- Appendix 8. Continued Fractions -- Appendix 9. Multiple-Precision Arithmetic -- Appendix 10. Fast Multiplication of Large Integers -- Appendix 11. The Stieltjes Integral -- Tables -- List of Textbooks -- Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xviii, 464 p.)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9780817682989
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)765949013
  • (OCoLC)ocn765949013
Label
Prime numbers and computer methods for factorization, Hans Riesel, (electronic resource)
Publication
Note
  • "Reprint of the 1994 edition."
  • "Originally published as Volume 126 in the series Progress in mathematics"--T.p. verso
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Color
not applicable
Contents
Preface -- The Number of Primes Below a Given Limit -- The Primes Viewed at Large -- Subtleties in the Distribution of Primes -- The Recognition of Primes -- Classical Methods of Factorization -- Modern Factorization Methods -- Prime Numbers and Cryptography -- Appendix 1. Basic Concepts in Higher Algebra -- Appendix 2. Basic concepts in Higher Arithmetic -- Appendix 3. Quadratic Residues -- Appendix 4. The Arithmetic of Quadratic Fields -- Appendix 5. Higher Algebraic Number Fields -- Appendix 6. Algebraic Factors -- Appendix 7. Elliptic Curves -- Appendix 8. Continued Fractions -- Appendix 9. Multiple-Precision Arithmetic -- Appendix 10. Fast Multiplication of Large Integers -- Appendix 11. The Stieltjes Integral -- Tables -- List of Textbooks -- Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xviii, 464 p.)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9780817682989
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)765949013
  • (OCoLC)ocn765949013

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...