Tapas in Experimental Mathematics

by Amdeberhan, Tewodros; Moll, Victor H.

• ISBN13: 9780821843178
• ISBN10: 0821843176
• Format: Paperback
• Copyright: 2008-06-15
• Publisher: Amer Mathematical Society

Summary

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.

Table of Contents

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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