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This channel aims to explain a lot of interesting mathematics to a broad audience, to introduce exciting new research directions, and to fix some of the logical weaknesses that beset the subject.. You'll find playlists on Rational Trigonometry (much simpler, more powerful), Linear Algebra, Algebraic Topology, History of Mathematics, Universal Hyperbolic Geometry (a complete new treatment of this subject), the Foundations of Mathematics (it needs fixing), the Sociology of Pure Maths, Playing Go, Mathematics and Music, Differential Geometry, The Algebra of Boole and even an elementary introduction to K-6 mathematics. I (N J Wildberger) am a professional mathematician, BSc U. Toronto 1979, PhD Yale 1984 and Honorary Prof at UNSW, Sydney with over 50 papers, one or two books, and a love of teaching. And hundreds of math videos. Also, please check out the Wild Egg Maths channel, where Members have access to dozens of Research Maths videos over a wide range of topics.