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Fundamental Theorem of Algebra Reexamined - Math Foundations 217

Offered By: Insights into Mathematics via YouTube

Tags

Abstract Algebra Courses Mathematical Proofs Courses Complex Numbers Courses Numerical Analysis Courses Polynomial Equations Courses Computational Mathematics Courses Quadrance Courses

Course Description

Overview

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Explore a critical examination of the Fundamental Theorem of Algebra in this 28-minute mathematics lecture. Delve into restatements of the theorem that aim for meaningful and correct formulations, avoiding assumptions about continuity and complex numbers. Learn about rational complex arithmetic and the concept of quadrance for complex numbers. Discover the potential for significant mathematical contributions in this area, as the lecturer emphasizes the need for new, deeper understanding and computationally-oriented proofs. Gain insights into the importance of finding approximate zeroes to a prescribed level of accuracy and understand why resolving this problem could be as significant as major 20th-century mathematical achievements.

Syllabus

What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217


Taught by

Insights into Mathematics

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