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YouTube

The Proof - E and Pi Are Transcendental

Mathologer via YouTube

Overview

Embark on a mathematical journey through a 37-minute video exploring the transcendental nature of e and pi. Delve into seven levels of enlightenment, starting with proving e's irrationality and progressing to more complex concepts. Learn about quadratic irrationals, master proofs, and Lindemann's trick for pi. Gain insights from adapted proofs by mathematicians like Hilbert, Steinberg, and Redheffer. Discover connections to the Buddhabrot fractal and access additional resources on irrational and transcendent numbers. Challenge yourself to conquer as many levels as possible in this comprehensive exploration of two fundamental mathematical constants.

Syllabus

Intro.
Enter Transcendence .
Level 1 - e - irrational.
Level 2 - e - quadratic irrational .
Level 3 - e - master proof.
Level 4 - e - gamma.
Level 5 - pi - Lindemann’s trick.
Level 6 - pi - transcendence.
Level 7 .

Taught by

Mathologer

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