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Differential Geometry With Finite Fields - Differential Geometry

Insights into Mathematics via YouTube

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This lecture introduces finite prime fields and develops polynomial arithmetic and calculus over them. It applies these ideas to tangent conics of a cubic, revealing related combinatorial and algebraic patterns.

Syllabus

Introduction
Finite fields
exponentiation
primitive roots
polynomial arithmetic
calculus over finite fields
power function example
Graphing polynomials
Graphing quadratic equations
Natural questions
Generalizing

Taught by

Insights into Mathematics

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