Math 2.0

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An Introduction to Number Theory SWCYZP7NG2

URIm2://res/SWCYZP7NG2
Kindcourse
CreatorsSomnath Jha (instructor)
Date2026-02-02
Scopein
Idscourse 05pjsgx75:111104900

Expressions

e1: edition

Languageen
Date2026-02-02
Contents
  • part 1: Week 1
  • session 1: Lecture 1: Abelian Groups - I
  • session 2: Lecture2: Abelian Groups - II
  • session 3: Lecture3: Abelian Groups - III
  • session 4: Lecture 4: Abelian Groups - IV
  • part 2: Week 2
  • session 5: Lecture 5: Abelian Groups - V
  • session 6: Lecture 6: Abelian Groups - VI
  • session 7: Lecture 7: Commutative Rings - I
  • session 8: Lecture 8: Commutative Rings - II
  • part 3: Week 3
  • session 9: Lecture 9: Commutative Rings -III
  • session 10: Lecture 10: Chinese Reminder Theorem
  • session 11: Lecture 11: Fermat's Little Theorem and Wilson's Theorem
  • session 12: Lecture 12: Prime ideals and maximal ideals
  • part 4: Week 4
  • session 13: Lecture 13: Ideals in a PID
  • session 14: Lecture 14: Ideals in a UFD
  • session 15: Lecture 15: Gauss Lemma
  • session 16: Lecture 16: Field Extensions
  • part 5: Week 5
  • session 17: Lecture 17: Finite Fields
  • session 18: Lecture 18: Multiplicative groups of finite fields
  • session 19: Lecture 19: Legendre Symbol
  • session 20: Lecture 20: Quadratic Reciprocity
  • part 6: Week 6
  • session 21: Lecture 21: Zero sets of polynomials
  • session 22: Lecture 22 : Ring of quadratic integers - I
  • session 23: Lecture 23 : Ring of quadratic integers - II
  • session 24: Lecture 24 : Gaussian integers
  • part 7: Week 7
  • session 25: Lecture 25: Ring of quadratic integers - III
  • session 26: Lecture 26 : Ring of quadratic integers - IV
  • session 27: Lecture 27: Ideal class group of quadratic fields
  • session 28: Lecture 28: Binary quadratic forms
  • part 8: Week 8
  • session 29: Lecture 29: Binary quadratic forms and ideal class group of imaginary quadratic fields – I
  • session 30: Lecture 30: Binary quadratic forms and ideal class group of imaginary quadratic fields – II
  • session 31: Lecture 31: Binary quadratic forms and ideal class group of imaginary quadratic fields – III
  • session 32: Lecture 32: Binary quadratic forms and ideal class group of imaginary quadratic fields – IV
  • part 9: Week 9
  • session 33: Lecture 33: Units in the rings of quadratic integers
  • session 34: Lecture 34: Integral solutions of the equation 𝑥 2 − 2𝑦 2 = 1
  • session 35: Lecture 35: Dirichlet's approximation theorem
  • session 36: Lecture 36: Brahmagupta - Pell's equation
  • part 10: Week 10
  • session 37: Lecture 37: Congruent Numbers - I
  • session 38: Lecture 38: Congruent Numbers - II
  • session 39: Lecture 39: The n = 4 case of the Fermat's Last Theorem
  • session 40: Lecture 40: Congruent Numbers and Elliptic Curves
  • part 11: Week 11
  • session 41: Lecture 41: Sum of two squares theorem
  • session 42: Lecture 42: Sum of four squares theorem
  • session 43: Lecture 43: Sum of integer cubes
  • session 44: Lecture 44: Rational cube sum problem
  • part 12: Week 12
  • session 45: Lecture 45: Affine and Projective Spaces- I
  • session 46: Lecture 46: Affine and Projective Spaces- II
  • session 47: Lecture 47: Elliptic Curves - I
  • session 48: Lecture 48: Elliptic Curves - II

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