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Lattice sums then and now /
"The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
|
| Colección: | Encyclopedia of mathematics and its applications ;
150. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Borwein, Jonathan M. | |
| 245 | 1 | 0 | |a Lattice sums then and now / |c J.M. Borwein, University of Newcastle, New South Wales, M.L. Glasser, Clarkson University, R.C. Mcphedran, University of Sydney, J.G. Wan, University of Newcastle, New South Wales, I.J. Zucker, King's College London. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2013. | |
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| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v 150 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a "The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered"-- |c Provided by publisher. | ||
| 505 | 0 | |a 1. Lattice sums; 2. Convergence of lattice sums and Madelung's constant; 3. Angular lattice sums; 4. Use of Dirichlet series with Complex characters; 5. Lattice sums and Ramanujan's modular equations; 6. Closed form evaluations of three- and four-dimensional sums; 7. Electron sums; 8. Madelung sums in higher dimensions; 9. 70 years of the Watson integrals; Appendix A. Tables. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Lattice theory. | |
| 650 | 0 | |a Number theory. | |
| 650 | 6 | |a Théorie des treillis. | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Lattice theory. |2 fast |0 (OCoLC)fst00993426 | |
| 650 | 7 | |a Number theory. |2 fast |0 (OCoLC)fst01041214 | |
| 776 | 0 | 8 | |i Print version: |a Borwein, Jonathan M. |t Lattice sums then and now. |d Cambridge : Cambridge University Press, 2013 |z 9781107039902 |w (DLC) 2013002993 |w (OCoLC)833145010 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v 150. | |
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