Téléchargez le livre : Reassessing Riemann's Paper

Reassessing Riemann's Paper

On the Number of Primes Less Than a Given Magnitude de

Éditeur :

Springer


Collection :

SpringerBriefs in History of Science and Technology

Paru le : 2021-01-04

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Description


In this book, the author pays tribute to Bernhard Riemann (1826-1866), a mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. The text concentrates in particular on Riemann’s only work on prime numbers, including ideas – new at the time – such as analytical continuation into the complex plane and the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta-function is presented. The impact of Riemann’s ideas on regularizing infinite values in field theory is also emphasized.
This revised and enhanced new edition contains three new chapters, two on the application of Riemann’s zeta-function regularization to obtain the partition function of a Bose (Fermi) oscillator and one on the zeta-function regularization in quantum electrodynamics. Appendix A2 has been re-written to make the calculations more transparent. A summary of Euler-Riemann formulae completes the book.
Pages
107 pages
Collection
SpringerBriefs in History of Science and Technology
Parution
2021-01-04
Marque
Springer
EAN papier
9783030610487
EAN PDF
9783030610494
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
1956 Ko
Prix
73,84 €
EAN EPUB
9783030610494
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
13394 Ko
Prix
73,84 €

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