We continue in developing fundamental formulas that deal with curvature for surfaces in three dimensional space, given by algebraic equations. Our approach continues to be that the normal paraboloid to such a surface at a point is the key object that encodes the quadratic metrical information, including curvatures. However we want formulas that deal with the general situation, not only the simpler case when the tangent plane is horizontal.


[It appears this video has been unlisted lately, even though it is some years old! Better late than never to get it back out there ....]

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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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