Reassessing Riemann s Paper is popular PDF and ePub book, written by Walter Dittrich in 2021-01-04, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Reassessing Riemann s Paper can be Read Online from any device for your convenience.
Reassessing Riemann s Paper Book PDF Summary
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.
Detail Book of Reassessing Riemann s Paper PDF
- Author : Walter Dittrich
- Release : 04 January 2021
- Publisher : Springer Nature
- ISBN : 9783030610494
- Genre : Mathematics
- Total Page : 110 pages
- Language : English
- PDF File Size : 18,9 Mb
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