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DATE: 11 February 2020,
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Lecture 1: Tuesday, February 11, 2020 at
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Lecture 2: Thursday, February 13, 2020 at
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Lecture 3: Friday, February 14, 2020 at
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The man who invented calculus: the life and work of Madhava Lecture 1
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Welcome to ICTS-TIFR
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Programs - One of the main mandates of ICTS
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Infrastructure at ICTS
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ICTS Research
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ICTS Faculty
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ICTS Programs
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What distinguishes ICTS Programs?
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ICTS Programs-Format and Duration
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Organisational Features
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Impact of ICTS Programs
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Gender Balance in ICTS Programs
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ICTS Programs - Special Lectures
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ICTS Outreach Initiatives
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ICTS at Ten - The 10th Year Celebration
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The man who invented calculus: the life and work of Madhava
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A short history of the history
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But times are changing!
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Sources - the Madhava lineage
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Especially valuable:
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Some geography - the Nila school
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Nila as it flows by the mathematical villages
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Calculus themes, a first look
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Inspiration: Aryabhata's discrete finite calculus
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Example: Aryabhata's table of sine differences
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From differences to differentials
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Solving the differential equation f" = -f.
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Newton on the sine series
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The other calculus problems
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The birthmarks of calculus
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Calculus? Yes!
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The key: no fear of infinity
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Geometry, analysis, algebra, . .
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Rapidly convergent rearrangements of the basic Pi series, e.g.,
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.....but no number theory
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Who was Madhava?
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Kerala discovers Bhaskaracharya or Bhaskara | meets Bhaskara II
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Madhava's legacy
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"The ocean of true and false knowledge"
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Postscript
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Q&A
Description:
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
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#Mathematics #Calculus #Trigonometry #Differential Equations #Infinite series
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DATE: 11 February 2020,