Experimentation in Mathematics: Computational Paths to Discovery
|Rating||:||4.63 (510 Votes)|
|Number of Pages||:||368 Pages|
You are going to learn more math (experimental or otherwise) than you ever did from any two single volumes. The variety obtained in this way is impressive, the authors have really touched and produced a treasure trove of lovely mathematical gems."" -F. They are fascinating as a vast collection of interesting facts, anecdotes, and examples about numbers, primes, polynomials, special functions, definite integrals, series summations, and especially PI."" -Ruben Hersh, SIAM Reviews, January 2006 ""Much of the material in the book has arisen from the experiences of the authors while working on a computer based approach to different
Today computer experiments are an integral part of doing mathematics. Some advanced numerical techniques are also presented. This allows for a more systematic approach to conducting and replicating experiments. 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. 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. New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. To get a taste of the material presented in both books view the condensed version.
Five Stars Great book. Prompt delivery.