| 000 | 02360nam a22003977a 4500 | ||
|---|---|---|---|
| 001 | sulb-eb0015692 | ||
| 003 | BD-SySUS | ||
| 005 | 20160405134441.0 | ||
| 008 | 121121s2013||||enk o ||1 0|eng|d | ||
| 020 | _a9781139626804 (ebook) | ||
| 020 | _z9781107039902 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA171.5 _b.B67 2013 |
| 082 | 0 | 0 |
_a511.3/3 _223 |
| 100 | 1 |
_aBorwein, J. M., _eauthor. |
|
| 245 | 1 | 0 |
_aLattice Sums Then and Now / _cJ. M. Borwein, M. L. Glasser, R. C. McPhedran, J. G. Wan, I. J. Zucker. |
| 246 | 3 | _aLattice Sums Then & Now | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2013. |
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| 300 |
_a1 online resource (390 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 0 |
_aEncyclopedia of Mathematics and its Applications ; _v150 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016). | ||
| 520 | _aThe 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. | ||
| 650 | 0 | _aLattice theory | |
| 650 | 0 | _aNumber theory | |
| 700 | 1 |
_aGlasser, M. L., _eauthor. |
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| 700 | 1 |
_aMcPhedran, R. C., _eauthor. |
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| 700 | 1 |
_aWan, J. G., _eauthor. |
|
| 700 | 1 |
_aZucker, I. J., _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781107039902 |
| 830 | 0 |
_aEncyclopedia of Mathematics and its Applications ; _v150. |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9781139626804 |
| 942 |
_2Dewey Decimal Classification _ceBooks |
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| 999 |
_c37536 _d37536 |
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