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.

URL: http://www.ams.org/bookstore-getitem/item=conm-517

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.

Viewing alternatives

Item Actions

Export

You can export this page using these formats

About

• Item ORO ID
• 24730
• Item Type
• Book Section
• ISBN
• 0-8218-4869-0, 978-0-8218-4869-2
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2010 American Mathematical Society
• Related URLs
• • http://books.google.co.uk/books?id=mR-El...(Other)
• Depositing User
• Colin Smith