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Science News, July 28, 2007
EXPERIMENTAL MATHEMATICS IN ACTION David H. Bailey, Jonathan M. Borwein, Neil J. Calkin
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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 moved from theory to computation. The authors credit the increase in computer-computation software for this change. No longer are proofs the basis of mathematics, they claim. The rest of the book is devoted to specific mathematical concepts, including algorithms for experimental mathematics, such as high-precision arithmetic and prime number computations, exploration and discovery in inverse scattering, random vectors, and factoring integers, and visual computation that includes chaos games and visualization of DNA strands. Each chapter ends with exercises that challenge readers to apply the principles described. AK Peters, 2007, 322 p., b&w images, hardcover, $49.00.
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