Description

Book Synopsis
For over a century lattice sums have been studied by mathematicians and scientists in diverse areas of science, in some cases unwittingly duplicating previous work. Here, at last, is a comprehensive overview of the substantial body of knowledge that now exists on lattice sums and their applications.

Table of Contents
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.

Lattice Sums Then and Now 150 Encyclopedia of Mathematics and its Applications Series Number 150

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    A Hardback by I. J. Zucker, M. L. Glasser, R. C. McPhedran

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      View other formats and editions of Lattice Sums Then and Now 150 Encyclopedia of Mathematics and its Applications Series Number 150 by I. J. Zucker

      Publisher: Cambridge University Press
      Publication Date: 9/5/2013 12:00:00 AM
      ISBN13: 9781107039902, 978-1107039902
      ISBN10: 1107039908
      Also in:
      Physics

      Description

      Book Synopsis
      For over a century lattice sums have been studied by mathematicians and scientists in diverse areas of science, in some cases unwittingly duplicating previous work. Here, at last, is a comprehensive overview of the substantial body of knowledge that now exists on lattice sums and their applications.

      Table of Contents
      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.

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