Description

Book Synopsis
Peter Gustav Lejeune Dirichlet (1805â59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and GÃttingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856â7. They include his famous proofs of the class number theorem for binary quadratic forms and the existence of an infinity of primes in every appropriate arithmetical progression. The material was first published in 1863 by Richard Dedekind (1831â1916), professor at Braunschweig, who had been a junior colleague of Dirichlet at GÃttingen. The second edition appeared in 1871; this reissue is of the third, revised and expanded, edition of 1879; a fourth edition appeared as late as 1894. The appendices contain further work by both Dirichlet and Dedekind.

Table of Contents
Vorwort; 1. Von der Theilbarkeit der Zahlen; 2. Von der Congruens der Zahlen; 3. Von den quadratischen Resten; 4. Von den quadratischen Formen; 5. Bestimmung der Anzahl der Classen; Supplemente.

Vorlesungen uber Zahlentheorie Cambridge Library Collection Mathematics

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    A Paperback by Peter Gustav Lejeune Dirichlet, R. Dedekind

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      View other formats and editions of Vorlesungen uber Zahlentheorie Cambridge Library Collection Mathematics by Peter Gustav Lejeune Dirichlet

      Publisher: Cambridge University Press
      Publication Date: 8/22/2013 12:00:00 AM
      ISBN13: 9781108050395, 978-1108050395
      ISBN10: 1108050395
      Also in:
      Number theory

      Description

      Book Synopsis
      Peter Gustav Lejeune Dirichlet (1805â59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and GÃttingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856â7. They include his famous proofs of the class number theorem for binary quadratic forms and the existence of an infinity of primes in every appropriate arithmetical progression. The material was first published in 1863 by Richard Dedekind (1831â1916), professor at Braunschweig, who had been a junior colleague of Dirichlet at GÃttingen. The second edition appeared in 1871; this reissue is of the third, revised and expanded, edition of 1879; a fourth edition appeared as late as 1894. The appendices contain further work by both Dirichlet and Dedekind.

      Table of Contents
      Vorwort; 1. Von der Theilbarkeit der Zahlen; 2. Von der Congruens der Zahlen; 3. Von den quadratischen Resten; 4. Von den quadratischen Formen; 5. Bestimmung der Anzahl der Classen; Supplemente.

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