Explore a 45-minute video lecture that delves into the mathematical genius of Srinivasa Ramanujan and his approach to solving the STRAND puzzle. Uncover the intricacies of infinite fractions, Pell equations, and continued fractions through a step-by-step analysis. Learn how to visualize continued fractions by dissecting rectangles into squares, understand the relationship between continued fractions and the Euclidean algorithm, and discover the irrationality of root 2. Follow along as the lecturer breaks down complex mathematical concepts, provides historical context, and offers unique insights not commonly found elsewhere. Gain a deeper appreciation for Ramanujan's brilliance and the beauty of mathematical problem-solving through this comprehensive exploration.
Overview
Syllabus
Intro.
Chapter 1: Getting a feel for the puzzle.
Chapter 2: Algebra autopilot.
Chapter 3: Infinite fraction.
Chapter 4: Root 2.
Chapter 5: Euclidean algorithm.
Chapter 6: The best of the best: 17/12.
Chapter 7: Outramanujing Ramanujan.
Taught by
Mathologer
