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Experimental mathematics and mathematical physics

Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David and Zudilin, Wadim (2010). Experimental mathematics and mathematical physics. In: Amdeberhan, Tewodros; Medina, Luis A. and Moll, Victor H. eds. Gems in Experimental Mathematics. Contemporary Mathematics, 517. Providence, RI, USA: American Mathematical Society, pp. 41–58.

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Abstract

One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.

Item Type: Book Chapter
Copyright Holders: 2010 American Mathematical Society
ISBN: 0-8218-4869-0, 978-0-8218-4869-2
Academic Unit/Department: Science > Physical Sciences
Science
Interdisciplinary Research Centre: Centre for Earth, Planetary, Space and Astronomical Research (CEPSAR)
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Item ID: 24730
Depositing User: Colin Smith
Date Deposited: 18 Nov 2010 09:34
Last Modified: 24 Feb 2016 16:47
URI: http://oro.open.ac.uk/id/eprint/24730
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