Lecture Description
We shall take a journey through the mind of English mathematician John Wallis and see how he in 1656 discovered an intrinsic formula known as Wallis's Product.
NOTE: Lee had to make this a 4-part video without sacrificing the mathematical rigour. Watch all of them for a complete proof.
Course Index
- The Fundamental Theorem of Calculus
- The Fundamental Theorem of Calculus II
- Leibniz's Quest for Pi
- Leibniz's Quest for Pi II
- Leibniz's Quest for Pi III
- Wallis' Product I: Integrating sin Raised to the nth Power
- Wallis' Product II: Using the Reduction Formula
- Wallis' Product III: Taking the Limit
- Wallis' Product IV: Taking the Limit
- In Search for the Orbit
- Kepler's Laws: Preliminaries I
- Kepler's Laws: Preliminaries II
- Kepler's First Law I
- Kepler's First Law II
- Kepler's Second Law
- Kepler's Third Law
- Hyperbolic Functions: Definitions and Graph of cosh(x)
- Hyperbolic Functions: Graph of sinh(x)
- Hyperbolic Functions: Derivatives
- The Catenary Problem
Course Description
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