Laurent Polynumbers - The New Years Day Lecture - Arithmetic and Geometry Math Foundations

Explore Laurent polynumbers, the analogs of decimal numbers in the polynumber framework, in this 40-minute mathematics lecture. Begin with a review of rational polynumber arithmetic and challenge modern mathematical beliefs about 'real' and 'complex' numbers. Discover why rational numbers and rational polynumbers are considered the two most important fields in mathematics. Learn how to introduce, define, and perform arithmetic operations with Laurent polynumbers. Understand the conversion process from rational polynumbers to Laurent polynumbers and examine examples that do not qualify as Laurent polynumbers. Conclude by exploring how row polynumbers operate similarly to Laurent polynumbers, providing a comprehensive foundation for this new approach to mathematical thinking.

Intro to Laurent polynumbers
Arithmetic with rational polynumbers
Example of subtraction with rational polynumbers
Equality of rational polynumbers
Two most important fields in mathematics
Laurent polynumbers
Things that are not Laurent polynumbers
Converting rational polynumbers to Laurent polynumbers
Arithmetic of Laurent polynumbers
Row polynumbers work the same way