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Experimental Mathematics in Action
 
 
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Experimental Mathematics in Action [Hardcover]

David H. Bailey (Author), Jonathan M. Borwein (Author), Neil J. Calkin (Author), Roland Girgensohn (Author), D. Russell Luke (Author), Victor Moll (Author)

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Book Description

156881271X 978-1568812717 June 4, 2007
The last twenty years have been witness to a fundamental shift in the way mathematics is practiced. 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 that can really take advantage of computer-aided research, especially given the scope and availability of modern computational packages such as Maple, Mathematica, and MATLAB. The authors provide a coherent variety of accessible examples of modern mathematics subjects in which intelligent computing plays a significant role.

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Experimental Mathematics in Action + MATHEMATICS BY EXPERIMENT: Plausible Reasoning in the 21st Century + Experimentation in Mathematics: Computational Paths to Discovery
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Editorial Reviews

Review

Experimental mathematics has not only come of age but is quickly maturing, as this book shows so clearly. The authors display a vast range of mathematical understanding and connection while at the same time delineating various ways in which experimental mathematics is and can be undertaken, with startling effect --Prof. John Mason, Open University and University of Oxford

Computing is to mathematics as telescope is to astronomy: it might not explain things, but it certainly shows what's out there. The authors are expert in the discovery of new mathematical planets, and this book is a beautifully written exposé of their values, their methods, their subject, and their enthusiasm about it. A must read. --Prof. Herbert S. Wilf, author of generatingfunctionology

From within the ideological blizzard of the young field of Experimental Mathematics comes this tremendous, clarifying book. The authors all experts convey this complex new subject in the best way possible; namely, by fine example. Let me put it this way: Discovering this book is akin to finding an emerald in a snowdrift. --Richard E. Crandall, Apple Distinguished Scientist, Apple, Inc.

About the Author

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

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More About the Author

Jonathan Michael Borwein, FRSC, FAAAS,FBAS, FAA is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW). He directs the University's Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).

A Rhodes Scholar, his research interests span pure (analysis), applied (optimization), computational (numerical and computational analysis) mathematics, and high performance computing. He has authored over a dozen books---most recently four on Experimental Mathematics (www.experimentalmath.info) and a 2010 book on Convex Functions---and over 350 refereed publications.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
integer relation methods, linear sampling method, zeta values, quadratic sieve, chaos game, experimental mathematics, iterated function system, working precision, first few values, quadrature scheme, dyadic rationals, nonzero rows
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Inverse Symbolic Calculator, American Mathematical Monthly, Greg Chaitin, David Broadhurst, Experimental Mathematician's Toolkit, Lord Merchiston
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