Submitted by Exponential Times on Thu, 2014-03-13 00:24
A two-minute animated adventure to Ancient Greece and back again - voiced by Numberphile's James Grime!
Often called the "birthplace of civilisation", Ancient Greece heralded numerous advances in philosophy, science, sport and also mathematics. Over six centuries from 600 BC a group of revolutionary thinkers -- from Thales, Pythagoras, Democritus and Aristotle to Euclid, Archimedes and Hypatia of Alexandria -- formalised the rules and language of modern mathematics.
For Greek thinkers, maths wasn't simply a means of calculating amounts but a way of testing reality and understanding the true nature of the world around them. Indeed, Pythagoras is believed to have coined both the words "philosophy" ("love of wisdom") and "mathematics" ("that which is learned"). In turn, Euclid came to be known as the "father of geometry".
Submitted by Exponential Times on Mon, 2014-02-10 02:59
From Pythagoras' observations of the fundamental mathematical relationship between vibrating strings and harmony to the digitized musical world we enjoy today, The Majesty of Music and Mathematics will explore the remarkable interweaving of the languages of music and mathematics.
Dr. Cris Moore, physicist and mathematician at The Santa Fe Institute and David Felberg, the Symphony's own concertmaster and guest conductor, will guide you through an engaging evening of music from Bach to Adams, Beethoven to John Williams, plus mathematical discoveries and applications from Fourier to Moog and Theremin. Don't miss this inspiring and enthralling exploration of The Majesty of Music and Mathematics.
Presented by the Santa Fe Institute, the Santa Fe Symphony and underwritten by the Sydney & Andrew Davis Foundation.
Submitted by Exponential Times on Sat, 2014-01-18 14:28
Sir Roger Penrose provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in deisgn and architecture.
It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-fold, 3-fold, 4-fold, and 6-fold symmetries.
Yet, since the 1970s 5-fold, 8-fold, 10-fold and 12-fold "almost" symmetric patterns have been exhibited, showing that such crystallographically "forbidden symmetries" are mathematically possible and deviate from exact symmetry by an arbitrarily small amount. Such patterns are often beautiful to behold and designs based on these arrangements have now been used in many buildings throughout the world.
In this Ri event Sir Roger Penrose reveals the mathematical underpinnings and origins of these "forbidden symmetries" and other related patterns. His talk is illustrated with numerous examples of their use in architectural design including a novel version of "Penrose tiling" that appears in the approach to the main entrance of the new Mathematics Institute in Oxford, officially opened in late 2013 (http://www.maths.ox.ac.uk/new-building).
Submitted by Exponential Times on Fri, 2013-12-06 20:10
"Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, without the gorgeous trappings of painting or music." —Bertrand Russell
By Yann Pineill & Nicolas Lefaucheux
The Computer-Based Math™ (CBM) Education Summit has become the major hub for a fundamental change to math education.
This year's event is cohosted by UNICEF to answer the question, "how do we deliver improved life opportunities worldwide by cooperating on a fundamental rethink of the math curriculum?" It will bring together a broad cross section of leaders from industry, technology, education, and governments from a range of countries.
This is a critical time for math education. With worldwide recognition of its failings, many policymakers are looking for fundamental change. CBM not only exposes the problem, but offers the path to a solution.
So-called classical logic--the logic developed in the early twentieth century by Gottlob Frege, Bertrand Russell, and others--is computationally the simplest of the major logics, and it is adequate for the needs of most mathematicians. But it is just one of the many kinds of reasoning in everyday thought. Consequently, when presented by itself--as in most introductory texts on logic--it seems arbitrary and unnatural to students new to the subject.
In Classical and Nonclassical Logics, Eric Schechter introduces classical logic alongside constructive, relevant, comparative, and other nonclassical logics. Such logics have been investigated for decades in research journals and advanced books, but this is the first textbook to make this subject accessible to beginners. While presenting an assortment of logics separately, it also conveys the deeper ideas (such as derivations and soundness) that apply to all logics. The book leads up to proofs of the Disjunction Property of constructive logic and completeness for several logics.
Eric Schechter is an American mathematician, currently an Associate Professor at Vanderbilt University. His interests started primarily in analysis but moved into mathematical logic. His Erdős number is five. Schechter is best known for his 1996 book Handbook of Analysis and its Foundations , which provides a novel approach to mathematical analysis and related topics at the graduate level.