Explore the history and mathematics of the Binomial Theorem in this educational video. Learn about Omar Khayyam's pioneering work in algebra, the Chinese mathematician Chu Shi-Chieh's contributions, and the development of Pascal's triangle. Discover how to expand powers of binomials, understand the coefficients involved, and explore applications of the Binomial theorem in calculus. Gain insights into the historical context of this important mathematical concept, from ancient Greek and Indian mathematicians to its modern formulation. Enjoy a blend of mathematical explanation and literary appreciation with quatrains from Khayyam's Rubaiyat interspersed throughout the lecture.
Overview
Syllabus
Introduction
Omar Khayyam's "Treatise on Algebra" 1070
Chinese discovery: 1300 Chu Shi-Chieh
Expansion of a+b^n and coefficients
B. Pascal and his triangle
The Binomial theorem and applications
Taught by
Insights into Mathematics
