The AMS series What's Happening in the Mathematical Sciences distills the amazingly rich brew of current research in mathematics down to a few choice samples. This volume leads off with an update on the Poincare Conjecture, a hundred-year-old problem that has apparently been solved by Grigory Perelman of St. Petersburg, Russia. So what did topologists do when the oldest and most famous problem about closed manifolds was vanquished? As the second chapter describes, they confronted a suite of problems concerning the ``ends'' of open manifolds ... and solved those, too. Not to be outdone, number theorists accomplished several unexpected feats in the first five years of the new century, from computing a trillion digits of pi to finding arbitrarily long equally-spaced sequences of prime numbers. Undergraduates made key discoveries, as explained in the chapters on Venn diagrams and primality testing. In applied mathematics, the Navier-Stokes equations of fluid mechanics continued to stir up interest. One team proved new theorems about the long-term evolution of vortices, while others explored the surprising ways that insects use vortices to move around. The random jittering of Brownian motion became a little less mysterious. Finally, an old and trusted algorithm of computer science had its trustworthiness explained in a novel way. Barry Cipra explains these new developments in his wry and witty style, familiar to readers of Volumes 1-5, and is joined in this volume by Dana Mackenzie. Volume 6 of What's Happening will convey to all readers--from mathematical novices to experts--the beauty and wonder that is mathematics.
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Book by Barry Cipra Dana Mackenzie
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Soft cover. Condizione: New. New, in publisher's original shrink wrap. See scans and description. Providence, RI: AMS (American Mathematical Sciences), 2006. What's Happening in the Mathematical Sciences, Volume 6, by Dana MacKenzie and Barry Cipra. ISBN 0821835858. Quarto, illustrated perfect-bound wraps, 122 pp. New and pristine in publisher's shrink wrap. See scans. All stock is on premises and ready for immediate shipment. Ships in a new, sturdy, protective box - not a bag. LG9. Codice articolo 62624
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