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

Autor: William A Stein
Editorial: New York, NY : Springer, ©2009.
Serie: Undergraduate texts in mathematics.
Edición/Formato:   Libro-e : Documento : Inglés (eng)Ver todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:
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  Leer más
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Género/Forma: Electronic books
Formato físico adicional: Print version:
Stein, William A., 1974-
Elementary number theory.
New York, NY : Springer, ©2009
(OCoLC)268798336
Tipo de material: Documento, Recurso en Internet
Tipo de documento: Recurso en Internet, Archivo de computadora
Todos autores / colaboradores: William A Stein
ISBN: 9780387855257 0387855254 0387855246 9780387855240 1281850969 9781281850966
Número OCLC: 317545887
Descripción: 1 online resource (x, 166 pages) : illustrations.
Contenido: Prime numbers --
The ring of integers modulo n --
Public-key cryptography --
Quadratic reciprocity --
Continued fractions --
Elliptic curves.
Título de la serie: Undergraduate texts in mathematics.
Responsabilidad: William Stein.
Más información:

Resumen:

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  Leer más

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From the reviews: "This one treats topics that have become standard in recent years ... and it has exercises with selected solutions. ... it gives the students a tool to do calculations that Leer más

 
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