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<図書>
Lattice sums then and now

責任表示 J.M. Borwein ... [et al.]
シリーズ Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; 150
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 2013
本文言語 英語
大きさ xix, 368 p. : ill. (some col.) ; 24 cm
概要 "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 Made...ung'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"--続きを見る
目次 Machine generated contents note: Foreword; Preface; 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; Bibliography; Index.

所蔵情報

: hardback 理系図3F 数理独自 033212013004676 BORW/10/8 2013

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Borwein, Jonathan M.
件 名 LCSH:Lattice theory
分 類 DC23:511.33
書誌ID 1001515818
ISBN 9781107039902
NCID BB13474155
巻冊次 : hardback ; ISBN:9781107039902
NBN 016429670
登録日 2013.09.26
更新日 2013.09.26

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