Скачать или смотреть The Trinomial theorem | Arithmetic and Geometry Math Foundations 56 | N J Wildberger

The Binomial theorem has extensions to more than two variables. The next interesting case is the Trinomial theorem, which connects naturally to triangular numbers and whose coefficients related to three dimensional paths. There is a lovely three dimensional analog of Pascal's array.

Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.

This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics.

Video Content:
00:00 Intro to binomial and trinomial theorems
2:32 Geometry can help organise and understand algebra
5:22 Trinomial coefficients
7:07 Three dimensional array of trinomial coefficients

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Screenshot PDFs for my videos are available at the website http://wildegg.com. 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 https://www.researchgate.net/profile/...

My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.

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