WorldCat Identities

Lejeune Dirichlet, Peter Gustav 1805-1859

Overview
Works: 217 works in 662 publications in 9 languages and 4,692 library holdings
Genres: Records and correspondence  Biography 
Roles: Author, Honoree, Translator, wat, Other, Correspondent
Publication Timeline
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Most widely held works about Peter Gustav Lejeune Dirichlet
 
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Most widely held works by Peter Gustav Lejeune Dirichlet
Vorlesungen über Zahlentheorie by Peter Gustav Lejeune Dirichlet( Book )

109 editions published between 1836 and 2017 in 3 languages and held by 858 WorldCat member libraries worldwide

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
Lectures on number theory by Peter Gustav Lejeune Dirichlet( Book )

15 editions published in 1999 in English and German and held by 361 WorldCat member libraries worldwide

"This volume is a translation of Dirichlet's Vorlesungen uber Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume." "Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions." "The book is suitable as a textbook, yet it also offers a fascinating historical perspective that links Gauss with modern number theory."--Jacket
Vorlesungen über die im umgekehrten Verhältniss des Quadrats der Entfernung wirkenden Kräfte by Peter Gustav Lejeune Dirichlet( Book )

28 editions published between 1876 and 2017 in German and held by 317 WorldCat member libraries worldwide

G. Lejeune Dirichlet's werke by Peter Gustav Lejeune Dirichlet( )

30 editions published between 1889 and 2012 in 4 languages and held by 286 WorldCat member libraries worldwide

The great nineteenth-century mathematician Peter Gustav Lejeune Dirichlet (1805–59) studied in Paris, coming under the influence of scholars including Fourier and Legendre. He then taught at Berlin and Göttingen universities, where he was the successor to Gauss and mentor to Riemann and Dedekind. His achievements include the first satisfactory proof of the convergence of Fourier series under appropriate conditions, and the theorem on primes in arithmetic progression which was, at the same time, the foundation of analytic number theory and one of its greatest achievements. He also did important work on Laplace's equation, the theory of series and many other topics. This two-volume collection of his works, published 1889–97, was compiled by Leopold Kronecker (1823–91). Volume 1 contains works published by Dirichlet up to 1843, together with a related 1846 essay
Untersuchungen über verschiedene anwendungen der infinitesimalanalysis auf die zahlentheorie by Peter Gustav Lejeune Dirichlet( )

25 editions published between 1897 and 1991 in German and Spanish and held by 281 WorldCat member libraries worldwide

Die darstellung ganz willkürlicher functionen durch sinus- und cosinusreihen by Heinrich Liebmann( Book )

23 editions published in 1900 in German and Spanish and held by 253 WorldCat member libraries worldwide

Ueber die anziehung homogener ellipsoide. Abhandlungen von Laplace (1782), Ivory (1809), Gauss (1813), Chasles (1838) und Dirichlet (1839) by A Wangerin( )

17 editions published between 1890 and 1914 in German and held by 249 WorldCat member libraries worldwide

G. Lejeune Dirichlet's Werke by Peter Gustav Lejeune Dirichlet( Book )

28 editions published between 1968 and 2012 in 6 languages and held by 240 WorldCat member libraries worldwide

Festschrift zur feier des hundertfünfzigjährigen Bestehens der Königlichen Gesellschaft der wissenschaften zu Göttingen. Abhandlungen der Mathematisch-physikalischen klasse by Akademie der Wissenschaften in Göttingen( )

3 editions published in 1901 in German and held by 149 WorldCat member libraries worldwide

Lezioni sulla teoria dei numeri by Peter Gustav Lejeune Dirichlet( Book )

9 editions published in 1881 in Italian and held by 144 WorldCat member libraries worldwide

G. Lejeune-Dirichlets Vorlesungen über die Lehre von den Einfachen und Mehrfachen Bestimmten Integralen by Peter Gustav Lejeune Dirichlet( Book )

15 editions published between 1904 and 2017 in German and held by 123 WorldCat member libraries worldwide

Briefwechsel zwischen Alexander von Humboldt und Peter Gustav Lejeune Dirichlet by Alexander von Humboldt( Book )

5 editions published in 1982 in German and held by 121 WorldCat member libraries worldwide

Vorlesungen über die Theorie der bestimmten Integrale zwischen reellen Grenzen : mit vorzüglicher Berücksiage der by Gustav Ferdinand Meyer( Book )

10 editions published between 1871 and 2018 in German and held by 113 WorldCat member libraries worldwide

Werke by Peter Gustav Lejeune Dirichlet( )

5 editions published in 1889 in German and held by 45 WorldCat member libraries worldwide

Vorlesungen über die Lehre von den einfachen und mehrfachen bestimmten Integralen by Peter Gustav Lejeune Dirichlet( Book )

13 editions published in 1904 in German and held by 43 WorldCat member libraries worldwide

Gesammelte Werke by C. G. J Jacobi( Book )

2 editions published in 1881 in German and English and held by 33 WorldCat member libraries worldwide

G. Lejeune Dirichlet's Werke by Peter Gustav Lejeune Dirichlet( Book )

2 editions published between 1889 and 1980 in German and held by 22 WorldCat member libraries worldwide

Gesammelte werke by C. G. J Jacobi( )

in German and held by 22 WorldCat member libraries worldwide

G. Lejeune Dirichlet's Werke by Peter Gustav Lejeune Dirichlet( Book )

2 editions published between 1897 and 2017 in French and held by 20 WorldCat member libraries worldwide

G. Lejeune Dirichlet's Werke by Peter Gustav Lejeune Dirichlet( )

4 editions published between 1897 and 2012 in English and German and held by 20 WorldCat member libraries worldwide

The great nineteenth-century mathematician Peter Gustav Lejeune Dirichlet (1805-59) studied in Paris, coming under the influence of scholars including Fourier and Legendre. He then taught at Berlin and Göttingen universities, where he was the successor to Gauss and mentor to Riemann and Dedekind. His achievements include the first satisfactory proof of the convergence of Fourier series under appropriate conditions, and the theorem on primes in arithmetic progression which was, at the same time, the foundation of analytic number theory and one of its greatest achievements. He also did important work on Laplace's equation, the theory of series and many other topics. This two-volume collection of his works, published 1889-97, was compiled by Leopold Kronecker (1823-91). Volume 2 was completed by Lazarus Fuchs (1833-1902) and contains Dirichlet's publications from 1844 onwards, together with some unpublished papers and selected correspondence with Gauss, Alexander von Humboldt and Kronecker
 
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Lectures on number theory
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Alternative Names
Dirichlet, .. 1805-1859

Dirichlet, G. Lejeune‏

Dirichlet, G. Lejeune 1805-1859

Dirichlet, Gustav Lejeune 1805-1859

Dirichlet, Gustav Peter 1805-1859

Dirichlet, Johann P.

Dirichlet, Johann P. 1805-1859

Dirichlet, Johann Peter Gustav‏ ‎

Dirichlet, Johann Peter Gustav 1805-1859

Dirichlet, Johann Peter Gustav Lejeune‏

Dirichlet, Johann Peter Gustav Lejeune 1805-1859

Dirichlet, Lejeune.

Dirichlet-Lejeune, Peter Gustav

Dirichlet-Lejeune, Peter Gustav 1805-1859

Dirichlet, P. G. L.‏

Dirichlet, P.G.L. 1805-1859

Dirichlet, P.G.L. (Peter Gustav Lejeune), 1805-1859

Dirichlet, P. G. Lejeune‏

Dirichlet, P. G. Lejeune 1805-1859

Dirichlet, Peter

Dirichlet, Peter 1805-1859

Dirichlet, Peter Gustav 1805-1859

Dirichlet, Peter Gustav L.

Dirichlet, Peter Gustav Lejeune‏

Dirichlet, Peter Gustav Lejeune 1805-1859

Dirichlet, Pierre Gustave Lejeune

Dirikhle, P. G.

Dirikhle, P. G. 1805-1859

Dirixle

Iohannes Petrus Gustavus Lejeune Dirichlet

Johann Dirichlet Duits wiskundige

Johann Dirichlet Duits wiskundige (1805-1859)

Johann Peter Gustav Lejeune Dirichlet German mathematician

Johann Peter Gustav Lejeune Dirichlet matemàtic alemany

Johann Peter Gustav Lejeune Dirichlet matematician german

Johann Peter Gustav Lejeune Dirichlet mathématicien allemand

Johann Peter Gustav Lejeune Dirichlet nhà toán học người Đức

Lejeune-Dirichlet.

Lejeune Dirichlet, G.

Lejeune Dirichlet, G 1805-1859

Lejeune Dirichlet, G. (Gustav), 1805-1859

Lejeune Dirichlet, Gustav 1805-1859

Lejeune-Dirichlet, Gustav P.‏

Lejeune-Dirichlet, Gustav P. 1805-1859

Lejeune-Dirichlet, Johann P.‏

Lejeune-Dirichlet, Johann P. 1805-1859

Lejeune-Dirichlet, Johann Peter Gustav‏

Lejeune-Dirichlet, Johann Peter Gustav 1805-1859

Lejeune-Dirichlet, P. G.

Lejeune-Dirichlet, P. G. 1805-1859

Lejeune-Dirichlet, P. G. (Peter Gustav), 1805-1859

Lejeune-Dirichlet, Peter G.‏

Lejeune Dirichlet, Peter Gustav.

Lejeune-Dirichlet, Peter Gustav 1805-1859

Lejeune, Peter Gustav‏ Dirichlet-

Peter Gustav Lejeune Dirichlet

Peter Gustav Lejeune Dirichlet deutscher Mathematiker französischer Abstammung

Peter Gustav Lejeune Dirichlet matemático alemán

Peter Gustav Lejeune Dirichlet matematico tedesco

Peter Gustav Lejeune Dirichlet niemiecki matematyk pochodzenia francuskiego

Peter Qustav Lejyon Dirixle

Pēters Gustavs Ležēns Dirihlē

Густав Лежен Дирихле

Дирихле, П. Г. Лежен 1805-1859

Йоганн Петер Густав Лежен-Діріхле

Лежен Дирихле П. Г

Лежен Дирихле П. Г. 1805-1859

Лежён-Дирихле, Петер Густав

Петер Густав Лежён Дирихле немецкий математик

Петер Густав Льожон Дирихле

Петр Густав Дирихлей

Іаган Петэр Густаў Лежон Дзірыхле

Јохан Петер Густав Лежен Дирихле

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