Experimental Mathematics in Action

by Bailey; David H.

• ISBN13: 9781568812717
• ISBN10: 156881271X
• Format: Hardcover
• Copyright: 2007-05-31
• Publisher: A. K. Peters

Summary

With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doing to highlight some of the key algorithms and to teach some of the key experimental approaches.

Author Biography

David H. Bailey, Chief Technologist, Computational Research Dept., Lawrence Berkeley Lab Jonathan M. Borwein, Canada Research Chair in Collaborative Technology, Computer Science Faculty, Dalhousie University Neil J. Calkin, Associate Professor of Mathematical Sciences, Clemson University Roland Girgensohn, Statistician, Bundeswehr Medical Office and Privatdozent, Munich University of Technology Russell Luke, Assistant Professor of Mathematical Sciences, University of Delaware Victor Moll, Professor of Mathematics, Tulane University

Table of Contents

A philosophical introduction	p. 1
Algorithms for experimental mathematics I	p. 29
Algorithms for experimental mathematics II	p. 53
Exploration and discovery in inverse scattering	p. 79
Exploring strange functions on the computer	p. 113
Random vectors and factoring integers : a case study	p. 139
A selection of integrals from a popular table	p. 161
Experimental mathematics : a computational conclusion	p. 189
Exercises	p. 225
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