Mathematics by experiment : plausible reasoning in the 21st century

By J. M. Borwein. 2004

388 citations recorded by the source corpus.

How researchers see this paper

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Fixed-Point Algorithms for Inverse Problems in Science and Engineering (2011, methodology): “The development of this practice has been well-documented in the recent books by Bailey, Borwein and collaborators [5, 4, 6].”
Thirty-two Goldbach Variations (2005, background): “What follows is a transcription of correspondence between Euler and Goldbach [49] that led to the origin of the zeta-function and multi-zeta values, see also [8, 9, 42].”
The evaluation of character Euler double sums (2008, methodology): “The six sums [ 1 , 4]*,[2a, 4],[2b, 4]*,[ 4,1],[ 4,2a],[ 4,2b] —we refer to this set”
Neural Associative Memory with Optimal Bayesian Learning (2011, background): “Proofs can be found in standard textbooks of analysis (eg, see Borwein & Bailey, 2003 ; Weisstein, 1999 ; Abramowitz & Stegun, 1972 ).”
Parametric Euler sum identities (2005, background): “and much more are discussed in detail in [1] and [2].”
Evaluations of binomial series (2005, unknown): “Now integer relation algorithms come to the rescue, see [2] and [3].”