Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lattice Sums Then and Now

Lattice Sums Then and Now

Borwein, J. M.
Glasser, M. L.
McPhedran, R. C.

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 150

FictionGeneral Mathematics

ISBN10: 1107039908
ISBN13: 9781107039902
Publisher: Cambridge University Press
Published: Sep 5 2013
Pages: 390
Weight: 1.65
Height: 0.90 Width: 6.00 Depth: 9.30
Language: English
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.

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