Fundamental Number Theory with Applications (Discrete Mathematics and Its Applications) - Hardcover

Mollin, Richard A.

 
9780849339875: Fundamental Number Theory with Applications (Discrete Mathematics and Its Applications)
Hardcover
ISBN 10: 0849339871 ISBN 13: 9780849339875
Verlag: CRC Press, 1997

Inhaltsangabe

Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to

  • cryptography
  • factoring
  • primality testing
  • complexity analysis
  • computer arithmetic
  • computational number theory
    Fundamental Number Theory with Applications also covers:
  • Carmichael numbers
  • Dirichlet products
  • Jacobsthal sums
  • Mersenne primes
  • perfect numbers
  • powerful numbers
  • self-contained numbers
    Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material.
    Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.

    • Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Críticas

    "The book's strengths lie in its currency, its many worked examples, historical footnotes, and references to the literature." - D.V. Feldman, University of New Hampshire, in CHOICE, April 1998 "a very useful addition to the many books on number theory with applications, and it is meant to be accessible to anyone from the novice to the research scientistprovides an excellent supplementary source of information for the reader, not least in the many biographical footnotes on the mathematicians involved in the subject matter, and there are also more than a thousand exercises and examples in the text. Besides various tables for results in computational number theory, the nine appendices cover material from set theory, which includes discussions on the axiom of choice and Zorn's Lemma, to the ABC conjecture." --P. Shiu, Zentralblatt MATH, Vol. 943

    Reseña del editor

    Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to

  • cryptography
  • factoring
  • primality testing
  • complexity analysis
  • computer arithmetic
  • computational number theory
    Fundamental Number Theory with Applications also covers:
  • Carmichael numbers
  • Dirichlet products
  • Jacobsthal sums
  • Mersenne primes
  • perfect numbers
  • powerful numbers
  • self-contained numbers
    Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material.
    Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.

    • „Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Verlag
    CRC Press
    Erscheinungsdatum
    1997
    Sprache
    Englisch
    ISBN 10 
    0849339871
    ISBN 13 
    9780849339875
    Einband
    Tapa dura
    Auflage
    1
    Anzahl der Seiten
    464
    Kontakt zum Hersteller
    Nicht verfügbar
    Verantwortliche Person
    Nicht verfügbar