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.