Reassessing Riemann's Paper On the Number of Primes Less Than a Given Magnitude
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 parti...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | SpringerBriefs in History of Science and Technology
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | 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 |
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| Physical Description: | XIX, 65 p. 4 illus online resource |
| ISBN: | 9783319914824 |