Number Theory

  1. Continued Fractions
    1. Basic Theory
      1. Definition and Notation
        1. Finite Continued Fractions
          1. Infinite Continued Fractions
            1. Convergence Properties
            2. Rational Numbers
              1. Continued Fraction Representation
                1. Uniqueness and Algorithms
                  1. Euclidean Algorithm Connection
                  2. Irrational Numbers
                    1. Continued Fraction Expansions
                      1. Periodic Continued Fractions
                        1. Quadratic Irrationals
                        2. Convergents
                          1. Definition and Computation
                            1. Properties of Convergents
                              1. Best Rational Approximations
                                1. Error Estimates
                                2. Applications
                                  1. Solving Pell's Equation
                                    1. Calendar Problems
                                      1. Musical Scales

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                                    10. Prime Number Theory

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                                    12. Elementary Analytic Number Theory