BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
Reassessing Riemann's Paper
On the Number of Primes Less Than a Given Magnitude
1st ed. 2018
Springer
ISBN 978-3-319-91481-7
Standardpreis
Bibliografische Daten
Buch. Softcover
1st ed. 2018. 2018
4 s/w-Abbildungen, Bibliographien.
In englischer Sprache
Umfang: xix, 65 S.
Format (B x L): 15,5 x 23,5 cm
Gewicht: 1474
Verlag: Springer
ISBN: 978-3-319-91481-7
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: SpringerBriefs in History of Science and Technology
Produktbeschreibung
In this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in particular on Riemann’s only work on prime numbers, including such then new ideas as analytical continuation in 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.
Autorinnen und Autoren
Kundeninformationen
Includes detailed explanation of the importance of Riemann’s zeta function Provides explicit calculations leading to the derivation of Riemann’s relation between prime numbers and zeros of Riemann’s function Emphasizes the importance of Riemann’s functional equation for mathematics and physics
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