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Complex numbers : lattice simulation and zeta function applications /
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 fasc...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester :
Horwood,
2007.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | SCIDIR_ocn869282228 | ||
| 003 | OCoLC | ||
| 005 | 20231117044953.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 140128s2007 enka ob 001 0 eng d | ||
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| 015 | |a GBA703569 |2 bnb | ||
| 016 | 7 | |a 013631838 |2 Uk | |
| 019 | |a 1066545250 | ||
| 020 | |a 9780857099426 |q (electronic bk.) | ||
| 020 | |a 0857099426 |q (electronic bk.) | ||
| 020 | |z 1904275257 | ||
| 020 | |z 9781904275251 | ||
| 035 | |a (OCoLC)869282228 |z (OCoLC)1066545250 | ||
| 050 | 4 | |a QA255 |b .R69 2007eb | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.788 |2 22 |
| 100 | 1 | |a Roy, Stephen C. |q (Stephen Campbell) | |
| 245 | 1 | 0 | |a Complex numbers : |b lattice simulation and zeta function applications / |c Stephen C. Roy. |
| 264 | 1 | |a Chichester : |b Horwood, |c 2007. | |
| 300 | |a 1 online resource (xii, 131 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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 numbersIncludes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the Riemann hypothesisBridges any gaps that might exist between the two worlds of lattice sums and number theory. | ||
| 650 | 0 | |a Numbers, Complex. | |
| 650 | 0 | |a Lattice theory. | |
| 650 | 0 | |a Functions, Zeta. | |
| 650 | 6 | |a Nombres complexes. |0 (CaQQLa)201-0000842 | |
| 650 | 6 | |a Th�eorie des treillis. |0 (CaQQLa)201-0048300 | |
| 650 | 6 | |a Fonctions z�eta. |0 (CaQQLa)201-0043701 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Functions, Zeta |2 fast |0 (OCoLC)fst00936136 | |
| 650 | 7 | |a Lattice theory |2 fast |0 (OCoLC)fst00993426 | |
| 650 | 7 | |a Numbers, Complex |2 fast |0 (OCoLC)fst01041230 | |
| 776 | 0 | 8 | |i Print version: |a Roy, Stephen C. (Stephen Campbell). |t Complex numbers |z 1904275257 |w (DLC) 2007390295 |w (OCoLC)77661440 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781904275251 |z Texto completo |