How Did Ramanujan Solve the Strand Puzzle?
Offered By: Mathologer via YouTube
Course Description
Overview
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.
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
Related Courses
Fibonacci Numbers and the Golden RatioThe Hong Kong University of Science and Technology via Coursera A Basic Course in Number Theory
Indian Institute of Technology Bombay via Swayam Introduction to Number Theory
Higher School of Economics via Coursera The Golden Ratio Spiral - Visual Infinite Descent
Mathologer via YouTube Turn Angles, Continued Fractions and Approximate Geometry - WildTrig: Intro to Rational Trigonometry
Insights into Mathematics via YouTube