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Hyperbolic Geometry is Projective Relativistic Geometry (Part1)

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Uploaded on May 14, 2009

Part 1 (of 6) of a Pure Mathematics Seminar given at UNSW in the School of Mathematics and Statistics. Assoc Prof N J Wildberger explains a new approach to hyperbolic geometry which links it directly to Einstein and Minkowski's relativistic geometry viewed projectively. The idea is to extend Rational Trigonometry to the hyperbolic setting. The first part of the lecture motivates with a summary of classical hyperbolic geometry, then the purely algebraic set-up is introduced. Quite a few new results are illustrated with diagrams.

This is an advanced lecture, suitable for advanced undergraduates, graduate students and professional mathematicians or physicists. For a more gentle and elementary introduction to Universal Hyperbolic Geometry, see my YouTube series by that name, labelled UnivHypGeom.

My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/.... I also have a blog at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things, and you can check out my webpages at http://web.maths.unsw.edu.au/~norman/. Of course if you want to support all these bold initiatives, become a Patron of this Channel at https://www.patreon.com/njwildberger?... .

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