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  1. Home
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  3. Vorlesungen uber Zahlentheorie
Publisher:
Cambridge University Press
Online publication date:
April 2014
Print publication year:
2013
First published in:
1879
Online ISBN:
9781139237321
DOI:
https://doi.org/10.1017/CBO9781139237321
Subjects:
Mathematics (general), Mathematics, History of Mathematical Texts, Number Theory
Series:
Cambridge Library Collection - Mathematics
Information

Book description

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 Göttingen 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 Göttingen. 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.

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