The Basel Problem
Offered By: Eddie Woo via YouTube
Course Description
Overview
Explore the fascinating Basel Problem in this comprehensive 90-minute video series. Delve into nine distinct segments, starting with a prologue and progressing through various mathematical techniques. Learn about recurrence relations, integration by different parts, and the introduction of x² to the integrand. Discover the concept of telescoping sums, transition from equations to inequalities, and manipulate polynomial integrals. Conclude by returning to trigonometric terms and applying the squeeze law. Gain a deep understanding of this classic mathematical challenge through step-by-step explanations and detailed problem-solving approaches.
Syllabus
The Basel Problem (1 of 9: Prologue).
The Basel Problem (2 of 9: Recurrence relation).
The Basel Problem (3 of 9: Integration by *different* parts).
The Basel Problem (4 of 9: Introducing x² to the integrand).
The Basel Problem (5 of 9: Telescoping sum).
The Basel Problem (6 of 9: Equations → inequalities).
The Basel Problem (7 of 9: Manipulating the polynomial integral).
The Basel Problem (8 of 9: Returning to trigonometric terms).
The Basel Problem (9 of 9: Squeeze law).
Taught by
Eddie Woo
Related Courses
Introduction to LogicStanford University via Coursera Networked Life
University of Pennsylvania via Coursera Introduction to Mathematical Thinking
Stanford University via Coursera Computational Photography
Georgia Institute of Technology via Coursera Initiation à la théorie des distributions
École Polytechnique via Coursera