Modules / Lectures

Module Name | Download |
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Sl.No | Chapter Name | MP4 Download |
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1 | Lecture 1 : Integers | Download |

2 | Lecture 2 : Divisibility and primes | Download |

3 | Lecture 3 : Infinitude of primes | Download |

4 | Lecture 4 : Division algorithm and the GCD | Download |

5 | Lecture 5 : Computing the GCD and Euclid’s lemma | Download |

6 | Lecture 6 : Fundamental theorem of arithmetic | Download |

7 | Lecture 7 : Stories around primes | Download |

8 | Lecture 8 : Winding up on `Primes' and introducing `Congruences' | Download |

9 | Lecture 9 : Basic results in congruences | Download |

10 | Lecture 10 : Residue classes modulo n | Download |

11 | Lecture 11 : Arithmetic modulo n, theory and examples | Download |

12 | Lecture 12 : Arithmetic modulo n, more examples | Download |

13 | Lecture 13 : Solving linear polynomials modulo n - I | Download |

14 | Lecture 14 : Solving linear polynomials modulo n - II | Download |

15 | Lecture 15 : Solving linear polynomials modulo n - III | Download |

16 | Lecture 16 : Solving linear polynomials modulo n - IV | Download |

17 | Lecture 17 : Chinese remainder theorem, the initial cases | Download |

18 | Lecture 18 : Chinese remainder theorem, the general case and examples | Download |

19 | Lecture 19 : Chinese remainder theorem, more examples | Download |

20 | Lecture 20 : Using the CRT, square roots of 1 in ℤn | Download |

21 | Lecture 21 : Wilson's theorem | Download |

22 | Lecture 22 : Roots of polynomials over ℤp | Download |

23 | Lecture 23 : Euler 𝜑-function - I | Download |

24 | Lecture 24 : Euler 𝜑-function - II | Download |

25 | Lecture 25 : Primitive roots - I | Download |

26 | Lecture 26 : Primitive roots - II | Download |

27 | Lecture 27 : Primitive roots - III | Download |

28 | Lecture 28 : Primitive roots - IV | Download |

29 | Lecture 29 : Structure of Un - I | Download |

30 | Lecture 30 : Structure of Un - II | Download |

31 | Lecture 31 : Quadratic residues | Download |

32 | Lecture 32 : The Legendre symbol | Download |

33 | Lecture 33 : Quadratic reciprocity law - I | Download |

34 | Lecture 34 : Quadratic reciprocity law - II | Download |

35 | Lecture 35 : Quadratic reciprocity law - III | Download |

36 | Lecture 36 : Quadratic reciprocity law - IV | Download |

37 | Lecture 37 : The Jacobi symbol | Download |

38 | Lecture 38 : Binary quadratic forms | Download |

39 | Lecture 39 : Equivalence of binary quadratic forms | Download |

40 | Lecture 40 : Discriminant of a binary quadratic form | Download |

41 | Lecture 41 : Reduction theory of integral binary quadratic forms | Download |

42 | Lecture 42 : Reduced forms up to equivalence - I | Download |

43 | Lecture 43 : Reduced forms up to equivalence - II | Download |

44 | Lecture 44 : Reduced forms up to equivalence - III | Download |

45 | Lecture 45 : Sums of squares - I | Download |

46 | Lecture 46 : Sums of squares - II | Download |

47 | Lecture 47 : Sums of squares - III | Download |

48 | Lecture 48 : Beyond sums of squares - I | Download |

49 | Lecture 49 : Beyond sums of squares - II | Download |

50 | Lecture 50 : Continued fractions - basic results | Download |

51 | Lecture 51 : Dirichlet's approximation theorem | Download |

52 | Lecture 52 : Good rational approximations | Download |

53 | Lecture 53 : Continued fraction expansion for real numbers - I | Download |

54 | Lecture 54 : Continued fraction expansion for real numbers - II | Download |

55 | Lecture 55 : Convergents give better approximations | Download |

56 | Lecture 56 : Convergents are the best approximations - I | Download |

57 | Lecture 57 : Convergents are the best approximations - II | Download |

58 | Lecture 58 : Quadratic irrationals as continued fractions | Download |

59 | Lecture 59 : Some basics of algebraic number theory | Download |

60 | Lecture 60 : Units in quadratic fields: the imaginary case | Download |

61 | Lecture 61 : Units in quadratic fields: the real case | Download |

62 | Lecture 62 : Brahmagupta-Pell equations | Download |

63 | Lecture 63 : Tying some loose ends | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lecture 1 : Integers | Download To be verified |

2 | Lecture 2 : Divisibility and primes | Download To be verified |

3 | Lecture 3 : Infinitude of primes | Download To be verified |

4 | Lecture 4 : Division algorithm and the GCD | Download To be verified |

5 | Lecture 5 : Computing the GCD and Euclid’s lemma | Download To be verified |

6 | Lecture 6 : Fundamental theorem of arithmetic | Download To be verified |

7 | Lecture 7 : Stories around primes | Download To be verified |

8 | Lecture 8 : Winding up on `Primes' and introducing `Congruences' | Download To be verified |

9 | Lecture 9 : Basic results in congruences | Download To be verified |

10 | Lecture 10 : Residue classes modulo n | Download To be verified |

11 | Lecture 11 : Arithmetic modulo n, theory and examples | Download To be verified |

12 | Lecture 12 : Arithmetic modulo n, more examples | Download To be verified |

13 | Lecture 13 : Solving linear polynomials modulo n - I | Download To be verified |

14 | Lecture 14 : Solving linear polynomials modulo n - II | Download To be verified |

15 | Lecture 15 : Solving linear polynomials modulo n - III | Download To be verified |

16 | Lecture 16 : Solving linear polynomials modulo n - IV | Download To be verified |

17 | Lecture 17 : Chinese remainder theorem, the initial cases | Download To be verified |

18 | Lecture 18 : Chinese remainder theorem, the general case and examples | Download To be verified |

19 | Lecture 19 : Chinese remainder theorem, more examples | Download To be verified |

20 | Lecture 20 : Using the CRT, square roots of 1 in ℤn | Download To be verified |

21 | Lecture 21 : Wilson's theorem | Download To be verified |

22 | Lecture 22 : Roots of polynomials over ℤp | Download To be verified |

23 | Lecture 23 : Euler 𝜑-function - I | Download To be verified |

24 | Lecture 24 : Euler 𝜑-function - II | Download To be verified |

25 | Lecture 25 : Primitive roots - I | Download To be verified |

26 | Lecture 26 : Primitive roots - II | Download To be verified |

27 | Lecture 27 : Primitive roots - III | Download To be verified |

28 | Lecture 28 : Primitive roots - IV | Download To be verified |

29 | Lecture 29 : Structure of Un - I | Download To be verified |

30 | Lecture 30 : Structure of Un - II | Download To be verified |

31 | Lecture 31 : Quadratic residues | Download To be verified |

32 | Lecture 32 : The Legendre symbol | Download To be verified |

33 | Lecture 33 : Quadratic reciprocity law - I | Download To be verified |

34 | Lecture 34 : Quadratic reciprocity law - II | Download To be verified |

35 | Lecture 35 : Quadratic reciprocity law - III | Download To be verified |

36 | Lecture 36 : Quadratic reciprocity law - IV | Download To be verified |

37 | Lecture 37 : The Jacobi symbol | Download To be verified |

38 | Lecture 38 : Binary quadratic forms | Download To be verified |

39 | Lecture 39 : Equivalence of binary quadratic forms | Download To be verified |

40 | Lecture 40 : Discriminant of a binary quadratic form | Download To be verified |

41 | Lecture 41 : Reduction theory of integral binary quadratic forms | Download To be verified |

42 | Lecture 42 : Reduced forms up to equivalence - I | Download To be verified |

43 | Lecture 43 : Reduced forms up to equivalence - II | Download To be verified |

44 | Lecture 44 : Reduced forms up to equivalence - III | Download To be verified |

45 | Lecture 45 : Sums of squares - I | Download To be verified |

46 | Lecture 46 : Sums of squares - II | Download To be verified |

47 | Lecture 47 : Sums of squares - III | Download To be verified |

48 | Lecture 48 : Beyond sums of squares - I | Download To be verified |

49 | Lecture 49 : Beyond sums of squares - II | Download To be verified |

50 | Lecture 50 : Continued fractions - basic results | Download To be verified |

51 | Lecture 51 : Dirichlet's approximation theorem | Download To be verified |

52 | Lecture 52 : Good rational approximations | Download To be verified |

53 | Lecture 53 : Continued fraction expansion for real numbers - I | Download To be verified |

54 | Lecture 54 : Continued fraction expansion for real numbers - II | Download To be verified |

55 | Lecture 55 : Convergents give better approximations | Download To be verified |

56 | Lecture 56 : Convergents are the best approximations - I | Download To be verified |

57 | Lecture 57 : Convergents are the best approximations - II | Download To be verified |

58 | Lecture 58 : Quadratic irrationals as continued fractions | Download To be verified |

59 | Lecture 59 : Some basics of algebraic number theory | Download To be verified |

60 | Lecture 60 : Units in quadratic fields: the imaginary case | Download To be verified |

61 | Lecture 61 : Units in quadratic fields: the real case | Download To be verified |

62 | Lecture 62 : Brahmagupta-Pell equations | Download To be verified |

63 | Lecture 63 : Tying some loose ends | Download To be verified |

Sl.No | Language | Book link |
---|---|---|

1 | English | Not Available |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |