Böcker av Peter Gustav Lejeune Dirichlet

Dieses Buch enthält eine Sammlung von Vorlesungen des Mathematikers Peter Gustav Lejeune Dirichlet (1805-1859) über Zahlentheorie. Die Vorlesungen behandeln grundlegende Themen wie Teilbarkeit, Primzahlen und Kongruenz und wurden zu einem wichtigen Referenzwerk für Generationen von Mathematikern. Es ist eine wichtige Arbeit und hat einen bleibenden Einfluss auf die Mathematikgeschichte.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Peter Gustav Lejeune Dirichlet (1805-59) 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 Gottingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856-7. 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 (1831-1916), professor at Braunschweig, who had been a junior colleague of Dirichlet at Gottingen. 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.

Peter Dirichlet (1805-59) belonged to a network of influential French and German mathematicians, and his many achievements included foundational work in analytic number theory. These two volumes, which appeared in 1889-97, are a collection of all his published work, together with several unpublished papers and selected correspondence.