Introduces the WildTrig series, inviting you to learn a new approach to geometry and trigonometry. This series will give a careful introduction to rational trigonometry and universal geometry---valid over a general field.

The series is based on my book Divine Proportions: Rational Trigonometry to Unviersal Geometry which is available at wildegg.com, where you can find many more resources to understand and work with this powerful new paradigm. Metrical geometry in the plane as well as in higher dimensions is transformed by this theory, as are elliptic and hyperbolic geometries.

Video Contents:
00:00 Relations between Arithmetic, Algebra, Geometry
01:04 An invitation to rational gometry
03:06 Euclid's "construction " of an equilateral triangle
05:32 Synthetic approach to geometry and Descartes' (1600) coordinates

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Screenshot PDFs for my videos are available at the website [ Ссылка ]. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.

My research papers can be found at my Research Gate page, at [ Ссылка ]

My blog is at [ Ссылка ], where I will discuss lots of foundational issues, along with other things.

Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at [ Ссылка ] Please join us for an exciting new approach to one of mathematics' most important subjects!

If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at [ Ссылка ] Your support would be much appreciated.

Here are the Insights into Mathematics Playlists:

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Here are the Wild Egg Maths Playlists (some available only to Members!)

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