Coverart for item
The Resource Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London

Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London

Label
Lattice sums then and now
Title
Lattice sums then and now
Statement of responsibility
J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
Creator
Subject
Language
eng
Summary
"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"--
Member of
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Borwein, Jonathan M
Dewey number
511.3/3
Index
index present
LC call number
QA171.5
LC item number
.B67 2013
Literary form
non fiction
Nature of contents
bibliography
Series statement
Encyclopedia of mathematics and its applications
Series volume
150
http://library.link/vocab/subjectName
  • Lattice theory
  • Number theory
  • MATHEMATICS / Number Theory
Label
Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Lattice sums -- Convergence of lattice sums and Madelung's constant -- Angular lattice sums -- Use of Dirichlet series with complex characters -- Lattice sums and Ramanujan's modular equations -- Closed form evaluations of three- and four-dimensional sums -- Electron sums -- Madelung sums in higher dimensions -- Seventy years of the Watson integrals
Control code
833145010
Dimensions
24 cm
Extent
xix, 368 pages
Isbn
9781107039902
Lccn
2013002993
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)833145010
Label
Lattice sums then and now, J. M. Borwein, University of Newcastle, New South Wales, M. L. Glasser, Clarkson University, New York, R.C. Mcphedran, University of Sydney, J. G. Wan, Singapore University of Technology and Design, I. J. Zucker, King's College London
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Lattice sums -- Convergence of lattice sums and Madelung's constant -- Angular lattice sums -- Use of Dirichlet series with complex characters -- Lattice sums and Ramanujan's modular equations -- Closed form evaluations of three- and four-dimensional sums -- Electron sums -- Madelung sums in higher dimensions -- Seventy years of the Watson integrals
Control code
833145010
Dimensions
24 cm
Extent
xix, 368 pages
Isbn
9781107039902
Lccn
2013002993
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)833145010

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