The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

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The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

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

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