Algorithms in Ancient India

1. Lecture 1 16th Jan 2017 Algorithms: Introduction
2. Lecture 2 16th Jan 2017 Introduction to Vedas
3. Lecture 3 17th Jan 2017 Sutra Period in India
4. Lecture 4 17th Jan 2017 Introduction to Chandashaastra
5. Lecture 5 & 6 19th Jan 2017 Pingala and Kedar Bhatt's Algorithms on Number system conversions
6. Lecture 7a 20th Jan 2017 Pataakaa
7. Lecture 7b 20th Jan 2017 Fibbonacci Series
8. Sample Questions Set I
9. Sample Questions Set 2
10. Lecture 8 23rd Jan 2017 Combinations from Lilavati
11. Lecture 9 23rd Jan 2017 Permutations from Lilavati
12. Lecture 10a 24th Jan 2017 Introduction to Sulvasutra
13. Lecture 10b 24th Jan 2017 Structure of Syenaciti (Falcon Alter)
14. Lecture 10c 24th Jan 2017 Squaring a Rectangle
15. Lecture 11,12 24th Jan 2017 Geometry and Arithmetic of Sulbasutras
16. First Assignment: Due 6th Feb 2017
17. Lecture 13,14,15 13th Feb and 14th Feb, 2017 Diophantine Equations and Kuttaka
18. Lecture 16,17 14th Feb, 2017 Diophantine Equations: Vargaprakrti Introduction
19. Lecture 18 16th Feb, 2017 Assignment-1 Discussions
20. Mid Semester Exam: 3rd March 2017
21. Mid Semester Exam: Answer clues
22. Lecture 19 17th March, 2017 Justification of Kuttaka's Method
23. Lecture 20 17th March, 2017 Vargaprakrti: Bhavana
24. Lecture 21,22 18th March, 2017 Chakravaala: Cyclic method of solving Nx^2+1 = y^2
25. Lecture 23,24 19th March, 2017 Examples
26. Lecture 25,26 20th March, 2017 An introduction to Panini's Ashtadhyayi
27. Second Assignment: Due 30th March 2017
28. Second Assignment: Answer clues
29. Lecture 27,28 1st April, 2017, Anuvrtti
30. Ashtadhyayi sutras 1st April, 2017
31. Reading Material 1st April, 2017, General Article on Panini
32. Ashtadhyayi sutras with English translation 1st April, 2017
33. Lecture 29 1st April 2017, Introduction to Shivasuutras
34. Lecture 30a 2nd April 2017, Shivasuutra, Algorithm
35. Lecture 30b 2nd April 2017, Petersen's slides on Shivasuutra
36. Reading Material 2nd April 2017, Petersen's paper on "A Mathematical Analysis of Panini's Shivasuutras"
37. Reading Material 2nd April 2017, "Economy and construction of Shivasuutra" by Kiparsky
38. Lecture 31 7th April 2017 Duplication of N: Patanjali's explanation
39. Reading Material 7th April 2017 "Information Coding in a language: Some insights from Paa.ninian Grammar" Only Section 2
40. Lecture 32,33 & 34 8th April 2017 rules and rule ordering in Ashtadhyayi
41. Lecture 32,33 & 34 8th April 2017 rules and rule ordering in Ashtadhyayi
42. Reading Material 8th April 2017 "Computer Simulation of Ashtadhyayi: Some insights" Sections 1,2 and 3.
43. Lecture 35 9th April 2017 Vowel Sandhi in Panini
44. Reading MateralPages 43-45 on Blocking
45. Lecture 36 9th April 2017 Information coding in a language: Sections 3.2 and 3.3
46. Lecture 37 & 38 22nd April 2017 WSD of Tumun
47. Supplementary Material To Infinitive and Tumun
48. Supplementary Material To Infinitive and Tumun
49. Supplementary Material Disambiguating To Infinitive: English-Hindi Machine Translation
50. Lectures 39 & 4023rd April 2017 Shaabdabodha Theories and Principles of Information Coding
51. Supplementary MaterialConstraint parser for Sanskrit Sections 3-5
52. Supplementary MaterialVideo Streaming of my talk on Shaabdabodha Theories and Principles of Information Coding at IISC Bangalore

Supplementary Material for reading

1. Mathematics of Vedas by R L Kashyap, Purdue University
2. Introduction to Vedic Chanting
3. Ghanapatha of Gayatri mantra
4. Subhash Kak's note on yamaataaraajabhaanasalaga
5. Subhash Kak's note on Binary Number System and Katapayadi
6. Mathematics for Poets and Drummers by Rachel Wells Hall
7. Prof M D Srinivas's lecture on Chandashastra
8. A History of Piingala's Combinatorics by Jayant Shah, Boston
9. Combinations in Lilavati by A B P Rao
10. The so called Fibonacci Sequence in Ancient and Medieval India by Parmanand Singh
11. Greek and Vedic Geometry by Frits Staal
12. Chapter 2 of Mathematics in India by Kim Plofkar