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

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.

"? a very nice and useful book. ? a collection of demonstrations of serious applications of computing in mathematics, applications designed to illustrate the wide range of techniques and results that are playing a growing but still somewhat controversial role. ? covers a wide variety of topics ? a great resource ?"- Andrew Odlyzko in The American Mathematical Monthly, Vol. 118, No. 10, December 2011 Advance Praise "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."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-June 2007 "Based on a short course taught by the authors, this book describes the shift in the way in which mathematics has been practiced over the past 20 years - a shift that has moved from theory to computation...."- Science News , July 2007"Computers will change the face of mathematics...There certainly is a new generation rising using computers adroitly to expand the boundaries of pure mathematics."- David. P Roberts, MAA Online, September 2007"David H. Bailey et al. have done a fantastic job to provide very comprehensive and fruitful examples and demonstrations on how experimental mathematics acts in a very broad area of both pure and applied mathematical research, in both academic and industry. Anyone who is interested in experimental mathematics should, without any doubt, read this book!"-Boda Kang, Gazette of the Australian Mathematical Society, November 2007"The "action" in the title was only a few decades ago unthinkable to mathematicians. ... Focusing on experimental mathematics and its next-generation link to computing, this text gives the young (or the newly yougn) mathematician reasons to learn to use a keyboard."- SciTech Book News, September 2007"The authors provide a coherent variety of accessible examples of modern mathematics subjects in which intelligent computing plays a signigicant role."- L'Enseignement Mathématique, July 2007"The book is written by experts in experimental mathematics. It may be viewed as both an excellent textbook for beginners in the subject and a source book for experienced mathematicians. ? It is very lovely reading for those who look for challenging unsolved problems."-Wadim Zudilin, Zentralblatt MATH, April 2008"One of the aims of the book is to defend an assertion that the statement 'the real mathematicians don't compute' is no longer valid with a new generation of mathematicians.... The book is nicely written, with a special touch of mathematical poetry and beauty-behind-the-computation opinion. It will be appreciated not only by number theoreticians but also by anyone who does not prevent computers from entering the pure garden of mathematical delights." - European Mathematical Society Newsletter, September 2008