Power Sum Master Class - How to Sum Quadrillions of Powers by Hand
Offered By: Mathologer via YouTube
Course Description
Overview
Embark on a comprehensive mathematical journey through the world of power sums in this 50-minute masterclass video. Explore millennia of mathematical discoveries, starting from basic principles and progressing to advanced techniques for summing quadrillions of powers by hand. Delve into a plethora of power sum formulas, witness captivating "proofs without words" animations, and unravel the mysteries of Bernoulli numbers. Gain a deep understanding of the Euler-Maclaurin summation formula through an accessible introduction. Challenge yourself with exercises on summation limit adjustments and discover the historical context behind Gauss's famous childhood sum. From the classic sum of 1 to 100 to complex algebraic manipulations and pattern recognition, master the art of power sums and their applications in mathematical problem-solving.
Syllabus
Introduction
Sum from 1 to 100
Animated derivations
Compact formula
Algebra
Recap
Pattern spotting
Bernoullis formula
Why bother
Negative power sums
The Basel Problem
Taught by
Mathologer
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