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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Reassessing Riemann's Paper - On the Number of Primes Less Than a Given Magnitude (Paperback, 2nd ed. 2021)
Loot Price: R1,918
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Reassessing Riemann's Paper - On the Number of Primes Less Than a Given Magnitude (Paperback, 2nd ed. 2021)
Series: SpringerBriefs in History of Science and Technology
Expected to ship within 10 - 15 working days
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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.
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