| 1 |
Integers |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 2 |
Divisibility and Primes |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 3 |
Integers |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 4 |
Divisibility and Primes |
Prof. Shripad M. Garge , IIT Bombay |
|
Monday |
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| 5 |
Integers |
Prof. Shripad M. Garge , IIT Bombay |
|
Monday |
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| 6 |
Divisibility and Primes |
Prof. Shripad M. Garge , IIT Bombay |
|
Monday |
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| 7 |
Integers |
Prof. Shripad M. Garge , IIT Bombay |
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Tuesday |
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| 8 |
Divisibility and Primes |
Prof. Shripad M. Garge , IIT Bombay |
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Tuesday |
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| 9 |
Integers |
Prof. Shripad M. Garge , IIT Bombay |
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Wednesday |
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| 10 |
Divisibility and Primes |
Prof. Shripad M. Garge , IIT Bombay |
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Wednesday |
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| 11 |
Infinitude of primes |
Prof. Shripad M. Garge , IIT Bombay |
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Thursday |
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| 12 |
Division algorithm and the GCD |
Prof. Shripad M. Garge , IIT Bombay |
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Thursday |
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| 13 |
Infinitude of primes |
Prof. Shripad M. Garge , IIT Bombay |
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Friday |
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| 14 |
Division algorithm and the GCD |
Prof. Shripad M. Garge , IIT Bombay |
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Friday |
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| 15 |
Infinitude of primes |
Prof. Shripad M. Garge , IIT Bombay |
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Saturday |
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| 16 |
Division algorithm and the GCD |
Prof. Shripad M. Garge , IIT Bombay |
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Saturday |
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| 17 |
Computing the GCD and Euclid's lemma |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 18 |
Fundamental Theorem of Arithmetic |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 19 |
Computing the GCD and Euclid's lemma |
Prof. Shripad M. Garge , IIT Bombay |
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Tuesday |
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| 20 |
Fundamental Theorem of Arithmetic |
Prof. Shripad M. Garge , IIT Bombay |
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Tuesday |
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| 21 |
Computing the GCD and Euclid's lemma |
Prof. Shripad M. Garge , IIT Bombay |
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Wednesday |
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| 22 |
Fundamental Theorem of Arithmetic |
Prof. Shripad M. Garge , IIT Bombay |
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Wednesday |
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| 23 |
Stories around primes |
Prof. Shripad M. Garge , IIT Bombay |
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Thursday |
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| 24 |
Winding Upon'primes'and introducing 'congruences' |
Prof. Shripad M. Garge , IIT Bombay |
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Thursday |
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| 25 |
Stories around primes |
Prof. Shripad M. Garge , IIT Bombay |
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Friday |
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| 26 |
Winding Upon'primes'and introducing 'congruences' |
Prof. Shripad M. Garge , IIT Bombay |
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Friday |
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| 27 |
Stories around primes |
Prof. Shripad M. Garge , IIT Bombay |
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Saturday |
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| 28 |
Winding Upon'primes'and introducing 'congruences' |
Prof. Shripad M. Garge , IIT Bombay |
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Saturday |
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| 29 |
Dasic result in congruences |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 30 |
Residue classes modulo n |
Prof. Shripad M. Garge , IIT Bombay |
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Monday |
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| 31 |
Dasic result in congruences |
Prof. Shripad M. Garge , IIT Bombay |
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Tuesday |
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| 32 |
Residue classes modulo n |
Prof. Shripad M. Garge , IIT Bombay |
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Tuesday |
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| 33 |
Dasic result in congruences |
Prof. Shripad M. Garge , IIT Bombay |
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Wednesday |
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| 34 |
Residue classes modulo n |
Prof. Shripad M. Garge , IIT Bombay |
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Wednesday |
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| 35 |
Arithmetic modulo n,theory and examples |
Prof. Shripad M. Garge , IIT Bombay |
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Thursday |
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| 36 |
Arithmetic modulo n more Examples |
Prof. Shripad M. Garge , IIT Bombay |
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Thursday |
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| 37 |
Arithmetic modulo n,theory and examples |
Prof. Shripad M. Garge , IIT Bombay |
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Friday |
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| 38 |
Arithmetic modulo n more Examples |
Prof. Shripad M. Garge , IIT Bombay |
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Friday |
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| 39 |
Arithmetic modulo n,theory and examples |
Prof. Shripad M. Garge , IIT Bombay |
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Saturday |
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| 40 |
Arithmetic modulo n more Examples |
Prof. Shripad M. Garge , IIT Bombay |
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Saturday |
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| 41 |
Solving Linear Polynomials modulo n – I |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 42 |
Solving Linear Polynomials modulo n – II |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 43 |
Solving Linear Polynomials modulo n – I |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 44 |
Solving Linear Polynomials modulo n – II |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 45 |
Solving Linear Polynomials modulo n – I |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 46 |
Solving Linear Polynomials modulo n – II |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 47 |
Solving Linear Polynomials modulo n – IV |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 48 |
Function spaces-II |
Prof. Ramadevi , IIT Bombay |
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Thursday |
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| 49 |
Solving Linear Polynomials modulo n – IV |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 50 |
Function spaces-II |
Prof. Ramadevi , IIT Bombay |
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Friday |
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| 51 |
Solving Linear Polynomials modulo n – IV |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 52 |
Function spaces-II |
Prof. Ramadevi , IIT Bombay |
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Saturday |
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| 53 |
Chinese remainder theorem, the initial cases |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 54 |
Chinese remainder theorem, the general case and
examples |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 55 |
Chinese remainder theorem, the initial cases |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 56 |
Chinese remainder theorem, the general case and
examples |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
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| 57 |
Chinese remainder theorem, the initial cases |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 58 |
Chinese remainder theorem, the general case and
examples |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 59 |
Chinese remainder theorem, more examples |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 60 |
Using the CRT, square roots of 1 in Zn |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 61 |
Chinese remainder theorem, more examples |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 62 |
Using the CRT, square roots of 1 in Zn |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 63 |
Chinese remainder theorem, more examples |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 64 |
Using the CRT, square roots of 1 in Zn |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 65 |
Wilson's Theorem |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 66 |
Roots of polynomials over Zp |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 67 |
Wilson's Theorem |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 68 |
Roots of polynomials over Zp |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 69 |
Wilson's Theorem |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 70 |
Roots of polynomials over Zp |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 71 |
Euler φ-function - I |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 72 |
Euler φ-function - II |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 73 |
Euler φ-function - I |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 74 |
Euler φ-function - II |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 75 |
Euler φ-function - I |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 76 |
Euler φ-function - II |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 77 |
Primitive Roots - II |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 78 |
Primitive Roots - III |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 79 |
Primitive Roots - II |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 80 |
Primitive Roots - III |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 81 |
Primitive Roots - II |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 82 |
Primitive Roots - III |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 83 |
Primitive Roots - III |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 84 |
Primitive Roots - IV |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 85 |
Primitive Roots - III |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 86 |
Primitive Roots - IV |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 87 |
Primitive Roots - III |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 88 |
Primitive Roots - IV |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 89 |
Structure of Un - I |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 90 |
Structure of Un - II |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 91 |
Structure of Un - I |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 92 |
Structure of Un - II |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 93 |
Structure of Un - I |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 94 |
Structure of Un - II |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 95 |
Quadratic residues |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 96 |
The Legender symbol |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 97 |
Quadratic residues |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 98 |
The Legender symbol |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 99 |
Quadratic residues |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 100 |
The Legender symbol |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 101 |
Quadratic reciprocity law - I |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 102 |
Quadratic reciprocity law - II |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 103 |
Quadratic reciprocity law - I |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 104 |
Quadratic reciprocity law - II |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 105 |
Quadratic reciprocity law - I |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 106 |
Quadratic reciprocity law - II |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 107 |
Quadratic reciprocity law - III |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 108 |
Quadratic reciprocity law - III |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 109 |
Quadratic reciprocity law - III |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 110 |
Quadratic reciprocity law - IV |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 111 |
The Jacobi symbol |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 112 |
Quadratic reciprocity law - IV |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 113 |
The Jacobi symbol |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 114 |
Quadratic reciprocity law - IV |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 115 |
The Jacobi symbol |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 116 |
Binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 117 |
Equivalence of binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 118 |
Binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 119 |
Equivalence of binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 120 |
Binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 121 |
Equivalence of binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 122 |
Quadratic reciprocity law - IV |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 123 |
The Jacobi symbol |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 124 |
Quadratic reciprocity law - IV |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 125 |
The Jacobi symbol |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 126 |
Quadratic reciprocity law - IV |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 127 |
The Jacobi symbol |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 128 |
Binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 129 |
Equivalence of binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 130 |
Binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 131 |
Equivalence of binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 132 |
Binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 133 |
Equivalence of binary quadratic forms |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 134 |
Discriminant of a Binary Quadratic Form |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 135 |
Reduction Theory of Integral Binary Quadratic
Forms |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 136 |
Discriminant of a Binary Quadratic Form |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 137 |
Reduction Theory of Integral Binary Quadratic
Forms |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 138 |
Discriminant of a Binary Quadratic Form |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 139 |
Reduction Theory of Integral Binary Quadratic
Forms |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 140 |
Reduced Forms up to Equivalence - II |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 141 |
Reduced Forms up to Equivalence - III |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 142 |
Reduced Forms up to Equivalence - II |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 143 |
Reduced Forms up to Equivalence - III |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 144 |
Reduced Forms up to Equivalence - II |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 145 |
Reduced Forms up to Equivalence - III |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 146 |
Sums of Squares - II |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
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| 147 |
Sums of Squares - III |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
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| 148 |
Beyond Sums of Squares - I |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
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| 149 |
Sums of Squares - II |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
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| 150 |
Sums of Squares - III |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
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| 151 |
Beyond Sums of Squares - I |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
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| 152 |
Sums of Squares - II |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
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| 153 |
Sums of Squares - III |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
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| 154 |
Beyond Sums of Squares - I |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
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| 155 |
Beyond Sums of Squares - II |
Prof. Shripad Garge , IIT Bombay |
|
Thursday |
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| 156 |
Continued Fractions Basic Results |
Prof. Shripad Garge , IIT Bombay |
|
Thursday |
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| 157 |
Beyond Sums of Squares - II |
Prof. Shripad Garge , IIT Bombay |
|
Friday |
|
| 158 |
Continued Fractions Basic Results |
Prof. Shripad Garge , IIT Bombay |
|
Friday |
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| 159 |
Beyond Sums of Squares - II |
Prof. Shripad Garge , IIT Bombay |
|
Saturday |
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| 160 |
Continued Fractions Basic Results |
Prof. Shripad Garge , IIT Bombay |
|
Saturday |
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| 161 |
Dirichlet's approximation theorem |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
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| 162 |
Good rational approximations |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
|
| 163 |
Continued fraction expansion for real numbers - I |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
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| 164 |
Dirichlet's approximation theorem |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
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| 165 |
Good rational approximations |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
|
| 166 |
Continued fraction expansion for real numbers - I |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
|
| 167 |
Dirichlet's approximation theorem |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
|
| 168 |
Good rational approximations |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
|
| 169 |
Continued fraction expansion for real numbers - I |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
|
| 170 |
Convergents give better approximations |
Prof. Shripad Garge , IIT Bombay |
|
Thursday |
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| 171 |
Convergents are the best approximations - I |
Prof. Shripad Garge , IIT Bombay |
|
Thursday |
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| 172 |
Convergents give better approximations |
Prof. Shripad Garge , IIT Bombay |
|
Friday |
|
| 173 |
Convergents are the best approximations - I |
Prof. Shripad Garge , IIT Bombay |
|
Friday |
|
| 174 |
Convergents give better approximations |
Prof. Shripad Garge , IIT Bombay |
|
Saturday |
|
| 175 |
Convergents are the best approximations - I |
Prof. Shripad Garge , IIT Bombay |
|
Saturday |
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| 176 |
Convergents are the best approximations - II |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 177 |
Quadratic irrationals as continued fractions |
Prof. Shripad Garge , IIT Bombay |
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Monday |
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| 178 |
Convergents are the best approximations - II |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
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| 179 |
Quadratic irrationals as continued fractions |
Prof. Shripad Garge , IIT Bombay |
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Tuesday |
-
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| 180 |
Convergents are the best approximations - II |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 181 |
Quadratic irrationals as continued fractions |
Prof. Shripad Garge , IIT Bombay |
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Wednesday |
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| 182 |
Some basics of algebraic number theory |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 183 |
Units in quadratic fields: the imaginary case |
Prof. Shripad Garge , IIT Bombay |
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Thursday |
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| 184 |
Some basics of algebraic number theory |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 185 |
Units in quadratic fields: the imaginary case |
Prof. Shripad Garge , IIT Bombay |
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Friday |
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| 186 |
Some basics of algebraic number theory |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 187 |
Units in quadratic fields: the imaginary case |
Prof. Shripad Garge , IIT Bombay |
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Saturday |
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| 188 |
Units in quadratic fields: the real case |
Prof. Shripad Garge , IIT Bombay |
|
Monday |
|
| 189 |
Units in quadratic fields: the real case |
Prof. Shripad Garge , IIT Bombay |
|
Tuesday |
|
| 190 |
Units in quadratic fields: the real case |
Prof. Shripad Garge , IIT Bombay |
|
Wednesday |
|
| 191 |
Brahmagupta-Pell equations |
Prof. Shripad Garge , IIT Bombay |
|
Thursday |
|
| 192 |
Tying some loose ends |
Prof. Shripad Garge , IIT Bombay |
|
Thursday |
|
| 193 |
Brahmagupta-Pell equations |
Prof. Shripad Garge , IIT Bombay |
|
Friday |
|
| 194 |
Tying some loose ends |
Prof. Shripad Garge , IIT Bombay |
|
Friday |
|
| 195 |
Brahmagupta-Pell equations |
Prof. Shripad Garge , IIT Bombay |
|
Saturday |
|
| 196 |
Tying some loose ends |
Prof. Shripad Garge , IIT Bombay |
|
Saturday |
|
