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The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1
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- 1 DATE: 11 February 2020,
- 2 Lecture 1: Tuesday, February 11, 2020 at
- 3 Lecture 2: Thursday, February 13, 2020 at
- 4 Lecture 3: Friday, February 14, 2020 at
- 5 The man who invented calculus: the life and work of Madhava Lecture 1
- 6 Welcome to ICTS-TIFR
- 7 Programs - One of the main mandates of ICTS
- 8 Infrastructure at ICTS
- 9 ICTS Research
- 10 ICTS Faculty
- 11 ICTS Programs
- 12 What distinguishes ICTS Programs?
- 13 ICTS Programs-Format and Duration
- 14 Organisational Features
- 15 Impact of ICTS Programs
- 16 Gender Balance in ICTS Programs
- 17 ICTS Programs - Special Lectures
- 18 ICTS Outreach Initiatives
- 19 ICTS at Ten - The 10th Year Celebration
- 20 The man who invented calculus: the life and work of Madhava
- 21 A short history of the history
- 22 But times are changing!
- 23 Sources - the Madhava lineage
- 24 Especially valuable:
- 25 Some geography - the Nila school
- 26 Nila as it flows by the mathematical villages
- 27 Calculus themes, a first look
- 28 Inspiration: Aryabhata's discrete finite calculus
- 29 Example: Aryabhata's table of sine differences
- 30 From differences to differentials
- 31 Solving the differential equation f" = -f.
- 32 Newton on the sine series
- 33 The other calculus problems
- 34 The birthmarks of calculus
- 35 Calculus? Yes!
- 36 The key: no fear of infinity
- 37 Geometry, analysis, algebra, . .
- 38 Rapidly convergent rearrangements of the basic Pi series, e.g.,
- 39 .....but no number theory
- 40 Who was Madhava?
- 41 Kerala discovers Bhaskaracharya or Bhaskara | meets Bhaskara II
- 42 Madhava's legacy
- 43 "The ocean of true and false knowledge"
- 44 Postscript
- 45 Q&A
