Complex Numbers (ePub)
Lattice Simulation and Zeta Function Applications
(Sprache: Englisch)
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...
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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.
- Offers a fresh and critical approach to the research-based implication of complex numbers
- Includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the Riemann hypothesis
- Bridges any gaps that might exist between the two worlds of lattice sums and number theory
Autoren-Porträt von S C Roy
Dr. Stephen Campbell Roy from the green and pleasant Scottish town of Maybole in Ayreshire, received his secondary education at the Carrick Academy, and then studied chemistry at Heriot-Watt University, Edinburgh where he was awarded a BSc (Hons.) in 1991. Moving to St Andrews University, Fife he studied electro-chemistry and in 1994 was awarded his PhD. He then moved to Newcastle University for work in postdoctoral research until 1997. Then to Manchester University as a temporary Lecturer in Chemistry to teach electrochemistry and computer modelling to undergraduates.
Bibliographische Angaben
- Autor: S C Roy
- 2007, 144 Seiten, Englisch
- Verlag: Elsevier Science & Techn.
- ISBN-10: 0857099426
- ISBN-13: 9780857099426
- Erscheinungsdatum: 01.07.2007
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eBook Informationen
- Dateiformat: ePub
- Größe: 3.63 MB
- Mit Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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Pressezitat
The reader will not be disappointed., Zentralblatt MATHRoy 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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