 CSSE AND CARMA SEMINAR
 Speaker: A/Prof Norman Wildberger, School of Mathematics and Statistics, University of NSW
 Title: Towards a more computational mathematics: rational trigonometry and new foundations for geometry
 Location: Room EF122, Engineering Building EF (Callaghan Campus) The University of Newcastle
 Time and Date: 12:00 pm, Tue, 30^{th} Apr 2013
 Abstract:
Modern mathematics suffers from subtle but serious logical problems connected with the widespread use of infinite sets and the noncomputational aspects of real numbers. The result is an everwidening gap between the theories of pure mathematics and the computations available to computer scientists.
In this talk we discuss a new approach to mathematics that aims to remove many of the logical difficulties by returning our focus to the all important aspect of the rational numbers and polynomial arithmetic. The key is rational trigonometry, which shows how to rethink the fundamentals of trigonometry and metrical geometry in a purely algebraic way, opens the door to more general nonEuclidean geometries, and has numerous concrete applications for computer scientists interested in graphics and robotics.
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