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Elementary number theory : primes, congruences, and secrets : a computational approach

Autor William A Stein
Vydavatel: New York, NY : Springer, ©2009.
Edice: Undergraduate texts in mathematics.
Vydání/formát:   e-kniha : Document : EnglishZobrazit všechny vydání a formáty
Databáze:WorldCat
Shrnutí:
The systematic study of number theory was initiated around 300B.C. when Euclid proved that there are infinitely many prime numbers. At the same time, he also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over 1000 years later (around 972A.D.) Arab mathematicians formulated the congruent number problem that asks for a way to  Přečíst více...
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Detaily

Žánr/forma: Electronic books
Doplňující formát: Print version:
Stein, William A., 1974-
Elementary number theory.
New York, NY : Springer, ©2009
(OCoLC)268798336
Typ materiálu: Document, Internetový zdroj
Typ dokumentu: Internet Resource, Computer File
Všichni autoři/tvůrci: William A Stein
ISBN: 9780387855257 0387855254 0387855246 9780387855240
OCLC číslo: 317545887
Popis: 1 online resource (x, 166 pages) : illustrations.
Obsahy: Prime numbers --
The ring of integers modulo n --
Public-key cryptography --
Quadratic reciprocity --
Continued fractions --
Elliptic curves.
Název edice: Undergraduate texts in mathematics.
Odpovědnost: William Stein.

Anotace:

Classical number theory and elliptic curves are examined in this textbook, which moves on from elementary topics such as primes, continued fractions, and quadratic forms, to elliptic curves and their  Přečíst více...

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