The Lonely Runner Conjecture

Posted on August 22, 2013 by Avery Carr

Lonely RunnerThe eminent mathematician Carl Friedrich Gauss once said, “Mathematics is the queen of the sciences.”   Considering this statement to be true, it is easy to see the span of her kingdom.  From the design of airplane wings to the ever increasing speed of computation, the royal seal of mathematics is a permanent hallmark of industry and science.    Her practitioners, both pure and applied, have pushed the boundaries of current thought into the realm of new abstractions.

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Posted in AMS, General, Math, Mathematics in Society, Mathematics Online, Uncategorized | 1 Comment

WCGTC World Conference

Posted on August 18, 2013 by Tyler Clark

1150360_10201876185245153_1629180943_nIn addition to teaching a class at the Summer Camp for Academically Talented Middle School Students this summer, I also helped with planning the 20th Biennial World Conference hosted by the World Council for Gifted and Talented Children. It was a great opportunity for me to meet some of the leading researchers and practitioners in gifted education from around the globe.

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Ramanujan’s Taxicab Number

Posted on August 15, 2013 by Avery Carr

imgres-1Mathematical discoveries are not always birthed in the delivery room of revolutionary thinking.  Often times, they are found in small interactions that emerge from casual conversations.  Throughout history, the frontiers of mathematics have been riddled with concepts protruding from the foundation of humble beginnings.    With this in mind, many mathematicians see collaboration, both small and large, as an important key to advancing their respective fields.

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Do you think mathematically?

Posted on August 8, 2013 by Jean Joseph

I have recently had a chance to talk to some mathematicians and other math students about their research; I would hear them describe to me, in intricate details, the subjects they have worked on for numerous hours. Surprisingly, I realized that some of them succeeded in conveying such a clear picture of Continue reading →

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The Problem Of Brocard

Posted on August 8, 2013 by Avery Carr

The first page of Brocard's original 1897 Paper. Photo Credit [ Wikimedia Commons]

The first page of Brocard’s original 1897 Paper. Photo Credit [ Wikimedia Commons]

Down through the river of time, rapids of mathematical imagination have emerged curving the path of linear thought.   Often times, problems arising from these rocky waters branch off into smaller streams and drift indefinitely avoiding the trappings of resolution.  One such problem was introduced by the French mathematician Henri Brocard in 1876 and later, in a separate paper, in 1885.  Brocard inquired about a set of possible positive integers n such that the equation n! + 1 = m^{2} is satisfied.

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Posted in AMS, General, Math, Mathematics in Society, Uncategorized | 5 Comments