- 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, 30th Apr 2013
Modern mathematics suffers from subtle but serious logical problems connected with the widespread use of infinite sets and the non-computational aspects of real numbers. The result is an ever-widening 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 non-Euclidean geometries, and has numerous concrete applications for computer scientists interested in graphics and robotics.
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