Explore the life and groundbreaking mathematical contributions of Madhava in this nearly 2-hour lecture by P P Divakaran at the International Centre for Theoretical Sciences. Delve into the historical context of Madhava's work, the Kerala school of mathematics, and how his innovations anticipated modern calculus. Learn about Madhava's approach to infinity, his solutions to differential equations, and his impact on mathematical thinking. Gain insights into recent scholarly reevaluations of Madhava's achievements and their significance in the history of mathematics. The lecture also provides an overview of ICTS-TIFR's programs, research, and outreach initiatives.
The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1
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 1
Welcome to ICTS-TIFR
Programs - One of the main mandates of ICTS
Infrastructure at ICTS
ICTS Research
ICTS Faculty
ICTS Programs
What distinguishes ICTS Programs?
ICTS Programs-Format and Duration
Organisational Features
Impact of ICTS Programs
Gender Balance in ICTS Programs
ICTS Programs - Special Lectures
ICTS Outreach Initiatives
ICTS at Ten - The 10th Year Celebration
The man who invented calculus: the life and work of Madhava
A short history of the history
But times are changing!
Sources - the Madhava lineage
Especially valuable:
Some geography - the Nila school
Nila as it flows by the mathematical villages
Calculus themes, a first look
Inspiration: Aryabhata's discrete finite calculus
Example: Aryabhata's table of sine differences
From differences to differentials
Solving the differential equation f" = -f.
Newton on the sine series
The other calculus problems
The birthmarks of calculus
Calculus? Yes!
The key: no fear of infinity
Geometry, analysis, algebra, . .
Rapidly convergent rearrangements of the basic Pi series, e.g.,
.....but no number theory
Who was Madhava?
Kerala discovers Bhaskaracharya or Bhaskara | meets Bhaskara II
Madhava's legacy
"The ocean of true and false knowledge"
Postscript
Q&A
Taught by
International Centre for Theoretical Sciences
