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The Man Who Invented Calculus - The Life and Work of Madhava - Lecture 3

International Centre for Theoretical Sciences via YouTube

Overview

Explore the groundbreaking mathematical contributions of Madhava in this third lecture of a series on the inventor of calculus. Delve into advanced topics like sin series for discrete differences, the notion of infinity, and efficient methods for computing Pi. Examine Madhava's anticipation of modern abstract mathematical approaches that supported his calculus work. Learn about his innovative techniques for accelerating the convergence of series and gain insights into early functional analysis. Engage with a detailed discussion of Madhava's mathematical legacy and its significance in the history of mathematics, followed by a Q&A session to deepen understanding of this influential Kerala mathematician's work.

Syllabus

DATE: 11 February 2020,
Lecture 1: Tuesday, February 11, 2020 at
Lecture 2: Thursday, February 13, 2020 at
Lecture 3: Friday, February 14, 2020 at
The man who invented calculus: the life and work of Madhava Lecture 3
Sin series for discrete differences
Calculus spoken here
Notion and problem of infinity
Two Approaches - Making the computation of Pi efficient
YB on what a function is
Take rj-2=2j-2 =r1j-2
Accelerating the rate of convergence of the basic Pi series
Q&A

Taught by

International Centre for Theoretical Sciences

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