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Arithmetic with Negative Multisets and Integral Polynumbers - Math Foundations 232

Offered By: Insights into Mathematics via YouTube

Tags

Mathematics Courses Multisets Courses Polynumbers Courses Laurent Polynomials Courses

Course Description

Overview

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Explore advanced arithmetic concepts involving negative multisets (msets) in this 40-minute mathematics lecture. Delve into the world of box arithmetic using anti-msets to define negative numbers through explicit examples. Discover how integers are used not only as coefficients but also as exponents for polynumbers, introducing a crucial symmetry often overlooked in traditional algebra courses. Learn about Laurent polynomials as pure objects of analysis, and understand their significant impact on algebraic understanding. Follow along as the lecture covers topics such as anti-objects, negative msets, integer arithmetic, polynumber arithmetic, multiplicative operations with integer polynumbers, and arithmetic with integral (Laurent) polynumbers. Gain valuable insights into this fundamental mathematical concept that will enhance your understanding of algebra and its applications.

Syllabus

More Arithmetic with negative msets
Anti-objects!
Negative msets
Examples of integer arithmetic
Examples of integer polynumber arithmetic
Multiplicative arithmetic with integer polynumbers
Integral Laurent polynumbers
Arithmetic with integral polynumbers


Taught by

Insights into Mathematics

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