Complex Numbers: Lattice Simulation and Zeta Function Applications (Paperback)Stephen. C Roy (author)
Paperback 144 Pages / Published: 01/07/2007
- Not available
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.
Publisher: Elsevier Science & Technology
Number of pages: 144
Weight: 230 g
Dimensions: 234 x 156 x 10 mm
The reader will not be disappointed., Zentralblatt MATH Roy applies his expertise both in the subject and in teaching in this digestible treatment., SciTech News Offers a fresh and critical approach to research-based implementation of the mathematical concept of imaginary numbers., Mathematical Reviews
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