Intended AudienceScholarly & Professional
ReviewsIn the Oxford Psychology Series, OUP has published several of the most influential monographs and books in biological psychology. The series was launched by The Neuropsychology of Anxiety as volume 1 in the series, and that first edition is rightly a classic. Now, 20 years on, the series continues from strength to strength, and Gray and McNaughton's second edition, coming in at volume 33 of the series, maintains and continues the tradition.
Dewey Decimal510.5
Table Of ContentD. Mackenzie and B. Cipra, Introduction; B. Cipra, First of seven millennium problems nears completion; D. Mackenzie, Classifying hyperbolic manifolds--All's well that ends well; B. Cipra, Digits of pi; B. Cipra, Combinatoricists solve a Venn-erable problem; B. Cipra, New insights into prime numbers; D. Mackenzie, From Rubik's Cube to quadratic number fields...and beyond; B. Cipra, Vortices and the Navier-Stokes equations; D. Mackenzie, Fluid dynamics explains mysteries of insect motion; D. Mackenzie, Brownian motion, phase transitions, and conformal maps; B. Cipra, Smoothed analysis speeds up the simplex method.
SynopsisThe ""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., 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., Features the Poincare Conjecture, a hundred-year-old problem that has apparently been solved by Grigory Perelman of St Petersburg, Russia. This book also contains chapters on Venn diagrams and primality testing., 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. 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.
LC Classification NumberQA39.2