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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 asuite 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 ofprime 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 ofcomputer 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 novicesto experts--the beauty and wonder that is mathematics.
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Language: en
Pages: 222
Authors: Thomas H. Cormen
Categories: Computers
Type: BOOK - Published: 2013 - Publisher: MIT Press

For anyone who has ever wondered how computers solve problems, an engagingly written guide for nonexperts to the basics of computer algorithms. Have you ever wondered how your GPS can find the fastest way to your destination, selecting one route from seemingly countless possibilities in mere seconds? How your credit
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Language: en
Pages: 600
Authors: John Smiley
Categories: Computers
Type: BOOK - Published: 2011-01-01 - Publisher:

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Language: en
Pages: 546
Authors: Rael Dornfest, Paul Bausch, Tara Calishain
Categories: Computers
Type: BOOK - Published: 2006-08-03 - Publisher: "O'Reilly Media, Inc."

Everyone knows that Google lets you search billions of web pages. But few people realize that Google also gives you hundreds of cool ways to organize and play with information. Since we released the last edition of this bestselling book, Google has added many new features and services to its
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Language: en
Pages: 803
Authors: Stephen B. Maurer, Anthony Ralston
Categories: Mathematics
Type: BOOK - Published: 2005-01-21 - Publisher: CRC Press

Thoroughly revised for a one-semester course, this well-known and highly regarded book is an outstanding text for undergraduate discrete mathematics. It has been updated with new or extended discussions of order notation, generating functions, chaos, aspects of statistics, and computational biology. Written in a lively, clear style that talks to
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Language: en
Pages: 286
Authors: Elizabeth Sugar Boese
Categories: Computers
Type: BOOK - Published: 2007 - Publisher:

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