Complex Numbers

Lattice Simulation and Zeta Function Applications

Häftad, Engelska, 2007

Av S C Roy, S. C. Roy

829 kr

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An informative and useful account of complex numbers that includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the ever-elusory Riemann hypothesis. Stephen Roy assumes no detailed mathematical knowledge on the part of the reader and provides a fascinating description of the use of this fundamental idea within the two subject areas of lattice simulation and number theory. Complex Numbers offers a fresh and critical approach to research-based implementation of the mathematical concept of imaginary numbers. Detailed coverage includes:Riemann’s zeta function: an investigation of the non-trivial roots by Euler-Maclaurin summation.Basic theory: logarithms, indices, arithmetic and integration procedures are described.Lattice simulation: the role of complex numbers in Paul Ewald’s important work of the I 920s is analysed.Mangoldt’s study of the xi function: close attention is given to the derivation of N(T) formulae by contour integration.Analytical calculations: used extensively to illustrate important theoretical aspects.Glossary: over 80 terms included in the text are defined.

Produktinformation

  • Utgivningsdatum2007-07-01
  • Mått159 x 234 x 8 mm
  • Vikt230 g
  • FormatHäftad
  • SpråkEngelska
  • Antal sidor144
  • FörlagElsevier Science & Technology
  • ISBN9781904275251

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