소장자료
LDR | 04136cam a2200589 a 4500 | ||
001 | 0100603606▲ | ||
003 | OCoLC▲ | ||
005 | 20230726163822▲ | ||
007 | ta ▲ | ||
008 | 210107s2021 sz b 000 0 eng c▲ | ||
020 | ▼a3030610489▼q(pbk.)▲ | ||
020 | ▼a9783030610487▼q(pbk.)▲ | ||
020 | ▼a3030610497▼q(ebk.)▲ | ||
020 | ▼a9783030610494▼q(ebk.)▲ | ||
024 | 7 | ▼a10.1007/978-3-030-61049-4▼2doi▲ | |
040 | ▼aYDX▼beng▼epn▼cYDX▼dGW5XE▼dDCT▼dFIE▼dEBLCP▼dSFB▼dOCLCO▼dOCLCF▼dOCLCQ▼dOCLCO▼dCOM▼dOCLCQ▼d221016▲ | ||
082 | 0 | 4 | ▼a512.7/3▼a510.9▼223▲ |
090 | ▼a512.73▼bD617r2▲ | ||
100 | 1 | ▼aDittrich, Walter.▲ | |
245 | 1 | 0 | ▼aReassessing Riemann's paper :▼bon the number of primes less than a given magnitude /▼cWalter Dittrich.▲ |
250 | ▼a2nd ed.▲ | ||
260 | ▼aCham :▼bSpringer, ▼c2021.▲ | ||
300 | ▼axi, 107 p. :▼bill. ;▼c24 cm.▲ | ||
490 | 0 | ▼aSpringer Briefs in History of Science and Technology, ▼x2211-4564▲ | |
504 | ▼aIncludes bibliographical references.▲ | ||
520 | ▼aIn 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.▲ | ||
650 | 0 | ▼aRiemann hypothesis.▲ | |
995 | ▼a이전판에 근거하여 분류번호 채기함.▲ |
Reassessing Riemann's paper : on the number of primes less than a given magnitude
자료유형
국외단행본
서명/책임사항
Reassessing Riemann's paper : on the number of primes less than a given magnitude / Walter Dittrich.
판사항
2nd ed.
발행사항
Cham : Springer , 2021.
형태사항
xi, 107 p. : ill. ; 24 cm.
총서사항
서지주기
Includes bibliographical references.
요약주기
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.
ISBN
3030610489 9783030610487 3030610497 9783030610494
청구기호
512.73 D617r2
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