Explore the groundbreaking mathematical contributions of Madhava in this second lecture of a three-part series. Delve into the justification for claiming Madhava as the inventor of calculus through detailed examples of problems he posed and solved using calculus methods. Examine the theoretical foundations underlying his work, including his approach to defining curve lengths, drawing tangents, and working with integrals. Gain insights into Madhava's innovative use of decimal numbers and elementary operations. Conclude with a Q&A session to further discuss the historical significance and mathematical depth of Madhava's achievements in 14th-century Kerala.
The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 2
International Centre for Theoretical Sciences via YouTube
Overview
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 2
Topics to Discuss
How does one define the length of a curve except through calculus?
Drawing a tangent to a circle involves no infinitesimal ideas. It is just the normal to the radius
Claim
Define integral fudu=gv
YB after describing the decimal numbers and elementary operations with them
Q&A
Taught by
International Centre for Theoretical Sciences
