Modules / Lectures
Module NameDownload


Sl.No Chapter Name MP4 Download
1Lecture 1 : IntegersDownload
2Lecture 2 : Divisibility and primesDownload
3Lecture 3 : Infinitude of primesDownload
4Lecture 4 : Division algorithm and the GCDDownload
5Lecture 5 : Computing the GCD and Euclid’s lemmaDownload
6Lecture 6 : Fundamental theorem of arithmeticDownload
7Lecture 7 : Stories around primesDownload
8Lecture 8 : Winding up on `Primes' and introducing `Congruences'Download
9Lecture 9 : Basic results in congruencesDownload
10Lecture 10 : Residue classes modulo nDownload
11Lecture 11 : Arithmetic modulo n, theory and examplesDownload
12Lecture 12 : Arithmetic modulo n, more examplesDownload
13Lecture 13 : Solving linear polynomials modulo n - IDownload
14Lecture 14 : Solving linear polynomials modulo n - IIDownload
15Lecture 15 : Solving linear polynomials modulo n - IIIDownload
16Lecture 16 : Solving linear polynomials modulo n - IVDownload
17Lecture 17 : Chinese remainder theorem, the initial casesDownload
18Lecture 18 : Chinese remainder theorem, the general case and examplesDownload
19Lecture 19 : Chinese remainder theorem, more examplesDownload
20Lecture 20 : Using the CRT, square roots of 1 in ℤnDownload
21Lecture 21 : Wilson's theoremDownload
22Lecture 22 : Roots of polynomials over ℤpDownload
23Lecture 23 : Euler 𝜑-function - IDownload
24Lecture 24 : Euler 𝜑-function - IIDownload
25Lecture 25 : Primitive roots - IDownload
26Lecture 26 : Primitive roots - IIDownload
27Lecture 27 : Primitive roots - IIIDownload
28Lecture 28 : Primitive roots - IVDownload
29Lecture 29 : Structure of Un - IDownload
30Lecture 30 : Structure of Un - IIDownload
31Lecture 31 : Quadratic residuesDownload
32Lecture 32 : The Legendre symbolDownload
33Lecture 33 : Quadratic reciprocity law - IDownload
34Lecture 34 : Quadratic reciprocity law - IIDownload
35Lecture 35 : Quadratic reciprocity law - IIIDownload
36Lecture 36 : Quadratic reciprocity law - IVDownload
37Lecture 37 : The Jacobi symbolDownload
38Lecture 38 : Binary quadratic formsDownload
39Lecture 39 : Equivalence of binary quadratic formsDownload
40Lecture 40 : Discriminant of a binary quadratic formDownload
41Lecture 41 : Reduction theory of integral binary quadratic formsDownload
42Lecture 42 : Reduced forms up to equivalence - IDownload
43Lecture 43 : Reduced forms up to equivalence - IIDownload
44Lecture 44 : Reduced forms up to equivalence - IIIDownload
45Lecture 45 : Sums of squares - IDownload
46Lecture 46 : Sums of squares - IIDownload
47Lecture 47 : Sums of squares - IIIDownload
48Lecture 48 : Beyond sums of squares - IDownload
49Lecture 49 : Beyond sums of squares - IIDownload
50Lecture 50 : Continued fractions - basic resultsDownload
51Lecture 51 : Dirichlet's approximation theoremDownload
52Lecture 52 : Good rational approximationsDownload
53Lecture 53 : Continued fraction expansion for real numbers - IDownload
54Lecture 54 : Continued fraction expansion for real numbers - IIDownload
55Lecture 55 : Convergents give better approximationsDownload
56Lecture 56 : Convergents are the best approximations - IDownload
57Lecture 57 : Convergents are the best approximations - IIDownload
58Lecture 58 : Quadratic irrationals as continued fractionsDownload
59Lecture 59 : Some basics of algebraic number theoryDownload
60Lecture 60 : Units in quadratic fields: the imaginary caseDownload
61Lecture 61 : Units in quadratic fields: the real caseDownload
62Lecture 62 : Brahmagupta-Pell equationsDownload
63Lecture 63 : Tying some loose endsDownload

Sl.No Chapter Name English
1Lecture 1 : IntegersDownload
To be verified
2Lecture 2 : Divisibility and primesDownload
To be verified
3Lecture 3 : Infinitude of primesDownload
To be verified
4Lecture 4 : Division algorithm and the GCDDownload
To be verified
5Lecture 5 : Computing the GCD and Euclid’s lemmaDownload
To be verified
6Lecture 6 : Fundamental theorem of arithmeticDownload
To be verified
7Lecture 7 : Stories around primesDownload
To be verified
8Lecture 8 : Winding up on `Primes' and introducing `Congruences'Download
To be verified
9Lecture 9 : Basic results in congruencesDownload
To be verified
10Lecture 10 : Residue classes modulo nDownload
To be verified
11Lecture 11 : Arithmetic modulo n, theory and examplesDownload
To be verified
12Lecture 12 : Arithmetic modulo n, more examplesDownload
To be verified
13Lecture 13 : Solving linear polynomials modulo n - IDownload
To be verified
14Lecture 14 : Solving linear polynomials modulo n - IIDownload
To be verified
15Lecture 15 : Solving linear polynomials modulo n - IIIDownload
To be verified
16Lecture 16 : Solving linear polynomials modulo n - IVDownload
To be verified
17Lecture 17 : Chinese remainder theorem, the initial casesDownload
To be verified
18Lecture 18 : Chinese remainder theorem, the general case and examplesDownload
To be verified
19Lecture 19 : Chinese remainder theorem, more examplesDownload
To be verified
20Lecture 20 : Using the CRT, square roots of 1 in ℤnDownload
To be verified
21Lecture 21 : Wilson's theoremDownload
To be verified
22Lecture 22 : Roots of polynomials over ℤpDownload
To be verified
23Lecture 23 : Euler 𝜑-function - IDownload
To be verified
24Lecture 24 : Euler 𝜑-function - IIDownload
To be verified
25Lecture 25 : Primitive roots - IDownload
To be verified
26Lecture 26 : Primitive roots - IIDownload
To be verified
27Lecture 27 : Primitive roots - IIIDownload
To be verified
28Lecture 28 : Primitive roots - IVDownload
To be verified
29Lecture 29 : Structure of Un - IDownload
To be verified
30Lecture 30 : Structure of Un - IIDownload
To be verified
31Lecture 31 : Quadratic residuesDownload
To be verified
32Lecture 32 : The Legendre symbolDownload
To be verified
33Lecture 33 : Quadratic reciprocity law - IDownload
To be verified
34Lecture 34 : Quadratic reciprocity law - IIDownload
To be verified
35Lecture 35 : Quadratic reciprocity law - IIIDownload
To be verified
36Lecture 36 : Quadratic reciprocity law - IVDownload
To be verified
37Lecture 37 : The Jacobi symbolDownload
To be verified
38Lecture 38 : Binary quadratic formsDownload
To be verified
39Lecture 39 : Equivalence of binary quadratic formsDownload
To be verified
40Lecture 40 : Discriminant of a binary quadratic formDownload
To be verified
41Lecture 41 : Reduction theory of integral binary quadratic formsDownload
To be verified
42Lecture 42 : Reduced forms up to equivalence - IDownload
To be verified
43Lecture 43 : Reduced forms up to equivalence - IIDownload
To be verified
44Lecture 44 : Reduced forms up to equivalence - IIIDownload
To be verified
45Lecture 45 : Sums of squares - IDownload
To be verified
46Lecture 46 : Sums of squares - IIDownload
To be verified
47Lecture 47 : Sums of squares - IIIDownload
To be verified
48Lecture 48 : Beyond sums of squares - IDownload
To be verified
49Lecture 49 : Beyond sums of squares - IIDownload
To be verified
50Lecture 50 : Continued fractions - basic resultsDownload
To be verified
51Lecture 51 : Dirichlet's approximation theoremDownload
To be verified
52Lecture 52 : Good rational approximationsDownload
To be verified
53Lecture 53 : Continued fraction expansion for real numbers - IDownload
To be verified
54Lecture 54 : Continued fraction expansion for real numbers - IIDownload
To be verified
55Lecture 55 : Convergents give better approximationsDownload
To be verified
56Lecture 56 : Convergents are the best approximations - IDownload
To be verified
57Lecture 57 : Convergents are the best approximations - IIDownload
To be verified
58Lecture 58 : Quadratic irrationals as continued fractionsDownload
To be verified
59Lecture 59 : Some basics of algebraic number theoryDownload
To be verified
60Lecture 60 : Units in quadratic fields: the imaginary caseDownload
To be verified
61Lecture 61 : Units in quadratic fields: the real caseDownload
To be verified
62Lecture 62 : Brahmagupta-Pell equationsDownload
To be verified
63Lecture 63 : Tying some loose endsDownload
To be verified


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