FIT2.1. Field Extensions
Field Theory: Let F be a subfield of the field K. We consider K as a vector space over F and define the degree of K over F as the dimension. We give a degree formula for successive extensions, and consider extensions in terms of bases. EDIT: Typo - around 3:15, it should be cube root(2)^2, not cube root(2)^3.
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FIT2.2. Simple Extensions
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Galois theory: Field extensions
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The Insolvability of the Quintic
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Field Extensions Part 1
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Riemann Hypothesis - Numberphile
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Visual Group Theory, Lecture 6.1: Fields and their extensions
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Judge Can’t Stop Laughing At Sovereign Citizen’s Courtroom Meltdown!!!
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Abst Alg, Lec 33B: Field Extensions, Splitting Fields, Fundamental Theorem of Field Theory, Examples
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Why Do Predators Ignore Sleeping Humans?
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The most beautiful formula not enough people understand
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FIT4.3. Galois Correspondence 1 - Examples
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Constructibility 3: Degree of Field Extension
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302.S2a: Field Extensions and Polynomial Roots
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FIT2.3.3. Algebraic Extensions
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Train Your Brain to Never Forget (5 Feynman Habits)
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When Math Isn’t Based in Reality
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Germany’s army chief on AI, drones and the future of the tank | The Economist
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