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G. Lejeune Dirichlet’s Werke
 
Edited by: L. Kronecker
G. Lejeune Dirichlet's Werke
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8284-0225-5
Product Code:  CHEL/225
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $112.50
G. Lejeune Dirichlet's Werke
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G. Lejeune Dirichlet’s Werke
Edited by: L. Kronecker
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8284-0225-5
Product Code:  CHEL/225
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $112.50
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 2251969; 1066 pp
    MSC: Primary 01; Secondary 11

    Dirichlet (1805–1859) is well known for his significant contributions to several branches of mathematics. In number theory, for instance, he proved the conjecture by Gauss that there are infinitely many primes in any arithmetic progression such that the first term and the relative difference are relatively prime. He introduced Dirichlet series to analytic number theory, a tool which continues to be important today. In analysis, he is remembered for his work in potential theory, especially his study of harmonic functions with prescribed boundary values, now known as the Dirichlet problem. He is also known for his work on trigonometric series, in particular his rigorous proofs of conditions for their convergence which settled Cauchy's objections to Fourier's earlier work. He also made contributions to the theory of ideals.

    The two volumes of Dirichlet's Collected Works are published here in a single volume. Certain handwritten manuscripts from Dirichlet's Nachlass have been included by the editors: Kronecker and Fuchs. They have also included some of the mathematical correspondence that Dirichlet had with Gauss and Kronecker.

    Readership

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2251969; 1066 pp
MSC: Primary 01; Secondary 11

Dirichlet (1805–1859) is well known for his significant contributions to several branches of mathematics. In number theory, for instance, he proved the conjecture by Gauss that there are infinitely many primes in any arithmetic progression such that the first term and the relative difference are relatively prime. He introduced Dirichlet series to analytic number theory, a tool which continues to be important today. In analysis, he is remembered for his work in potential theory, especially his study of harmonic functions with prescribed boundary values, now known as the Dirichlet problem. He is also known for his work on trigonometric series, in particular his rigorous proofs of conditions for their convergence which settled Cauchy's objections to Fourier's earlier work. He also made contributions to the theory of ideals.

The two volumes of Dirichlet's Collected Works are published here in a single volume. Certain handwritten manuscripts from Dirichlet's Nachlass have been included by the editors: Kronecker and Fuchs. They have also included some of the mathematical correspondence that Dirichlet had with Gauss and Kronecker.

Readership

Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.