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Classical Theorems and Proofs: An Introduction to Elegant Mathematics

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  1. Introductory Lectures

    Lecture 1: Why Mathematics is Worth Knowing (Preview Content)
    2 Topics
    |
    1 Quiz
  2. Lecture 2: What is Mathematics?
    3 Topics
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    1 Quiz
  3. Proofs
    Lecture 3: Triangle Angle Sum Theorem (Preview Content)
    2 Topics
    |
    1 Quiz
  4. Lecture 4a: Polygonal Tilings
    2 Topics
    |
    1 Quiz
  5. Lecture 4b: Platonic Solids
    2 Topics
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    1 Quiz
  6. Lecture 5: Existence of Irrational Numbers
    2 Topics
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    1 Quiz
  7. Lecture 6: How Many Irrational Numbers are there?
    2 Topics
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    1 Quiz
  8. Theorems with Hard Proofs
    Lecture 7: The Independence of the Parallel Postulate
    2 Topics
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    1 Quiz
  9. Lecture 8: Impossible Constructions
    2 Topics
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    1 Quiz
  10. Lecture 9: Three Fundamental Theorems
    2 Topics
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    1 Quiz
  11. Lecture 10: Euler's Identity
    2 Topics
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    1 Quiz
  12. Lecture 11: Fermat's Last Theorem
    2 Topics
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    1 Quiz
  13. Lecture 12: Gödel's Incompleteness Theorems
    2 Topics
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    1 Quiz
  14. Unsolved Problems
    Lecture 13a: A Handful of Unsolved Problems: The Infinite Depth of Mathematical Mystery
    2 Topics
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    1 Quiz
  15. Lecture 13b: A Handful of Unsolved Problems: The Infinite Depth of Mathematical Mystery
    2 Topics
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    1 Quiz
  16. End of Course Test
    End of Course Test: Classical Theorems and Proofs: An Introduction to Elegant Mathematics
    1 Quiz
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  • What are the four ways in which mathematics is true?
  • In what way have you experienced beauty in mathematics?
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