Experimental Mathematics In Action


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Experimental Mathematics in Action


Experimental Mathematics in Action

Author: David Bailey

language: en

Publisher: CRC Press

Release Date: 2007-05-31


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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 doi

Experimentation in Mathematics


Experimentation in Mathematics

Author: Jonathan M. Borwein

language: en

Publisher: A K Peters/CRC Press

Release Date: 2004-04-12


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New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of experimental research in the statement of new hypotheses and the discovery of new results that chart the road to future developments. Following the lead of Mathematics by Experiment: Plausible Reasoning in the 21st Century this book gives numerous additional case studies of experimental mathematics in action, ranging from sequences, series, products, integrals, Fourier series, zeta functions, partitions, primes and polynomials. Some advanced numerical techniques are also presented. To get a taste of the material presented in both books view the condensed version.

Mathematics by Experiment


Mathematics by Experiment

Author: Jonathan Borwein

language: en

Publisher: CRC Press

Release Date: 2008-10-27


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This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P