Laurent polynumbers (the New Years Day lecture) | Arithmetic and Geometry Math Foundations 68

Описание: We introduce Laurent polynumbers, the analogs of decimal numbers in the polynumber framework. We first review arithmetic of rational polynumbers/ polynomials, and say some derogatory things about the beliefs of modern pure mathematicians regarding `real numbers' and `complex numbers'. In fact the two most important fields are the rational numbers and the rational polynumbers. Laurent polynumbers are introduced and their arithmetic is described.

This is the first lecture in this series in 2012, and we prepare for a mighty battle this year, replacing the current ambiguous and flawed foundations of the subject with clear thinking and precise definitions. You are invited to join the fray!

Video Content:
00:00 Intro to Laurent polynumbers
6:17 Arithmetic with rational polynumbers
8:11 Example of subtraction with rational polynumbers
9:54 Equality of rational polynumbers
16:30 Two most important fields in mathematics
21:43 Laurent polynumbers
25:27 Things that are not Laurent polynumbers
29:37 Converting rational polynumbers to Laurent polynumbers
32:40 Arithmetic of Laurent polynumbers
34:56 Row polynumbers work the same way

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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.

Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... 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   / njwildberger   Your support would be much appreciated.

***********************
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.

Online courses are being developed at openlearning.com. The first one, already underway, is Algebraic Calculus One at https://www.openlearning.com/courses/... 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 Patreon,   / njwildberger   . Your support would be much appreciated.

Here are the Insights into Mathematics Playlists:

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