The Basel Problem (3 of 9: Integration by *different* parts)
4
The Basel Problem (4 of 9: Introducing x² to the integrand)
5
The Basel Problem (5 of 9: Telescoping sum)
6
The Basel Problem (6 of 9: Equations → inequalities)
7
The Basel Problem (7 of 9: Manipulating the polynomial integral)
8
The Basel Problem (8 of 9: Returning to trigonometric terms)
9
The Basel Problem (9 of 9: Squeeze law)
Description:
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.