Tapas in Experimental Mathematics

, by Amdeberhan, Tewodros; Moll, Victor H.

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ISBN: 9780821843178 | 0821843176
Cover: Paperback
Copyright: 6/15/2008

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Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

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Two dimensional directed lattice walks with boundaries
Computer-assisted discovery and proof
On the collection of integers that index the fixed points of maps on the space of rational functions
Questionable claims found in Ramanujan's lost notebook
Partition polynomials: Asymptotics and zeros
Hypergeometric functions related to series acceleration formulas
Using integer relations algorithms for finding relationships among functions
Conjecturing the optimal order of the components of the Li/Keiper constants
An experimental approach to equation-solving: Symmetry and dynamics
Multidimensional radix representations and Hot Spot Theorem
Some properties of the inverse error function
On the Laplace transform of the Psi function
Computer algebra for special function inequalities
An isodiametric problem for equilateral polygons
Some Euler-type integrals and a new rational series for Euler's constant
Disturbing the $q$-Dyson conjecture
Which partial sums of the Taylor series for $e$ are convergents to $e$? (and a link to the primes 2, 5, 13, 37, 463)
Symbol-crunching with the gambler's ruin problem
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Tapas in Experimental Mathematics

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