Monday, September 19, 2005

A bit of geometry in everybody's life!

Euclid is credited with the famous remark, namely, that there is no royal road to geometry. Royal road or common road, geometry has played a crucial role in the development of twentieth century physics; the role of geometry in the theory of relativity is well known (See this wonderful article in Resonance, for example). Apparently, PAM Dirac, who believed in a deeper connection between mathematics and nature, insisted that his approach to quantum mechanics was geometric and not algebraic: take a look at this essay. While we are on the topic of geometry, here is a delightful essay on the evolution of Riemann's geometric ideas published in the January, 2005 issue of American Mathematical Monthly. The final geometry link (I just couldn't resist it): here is a song about that other geometry guy, Lobachevsky by Tom Lehrer. And, hey, have you visited this page anytime?!

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