Chapter 1: Irrationality
Chapter 2: Generating functions
Chapter 3: Systems of polynomial equations and Groebner bases
Chapter 4: Transfinite induction
Chapter 5: The Brownian Zoo
Chapter 6: Approximation by polynomials
Chapter 7:Cryptography
Chapter 8: Asymptotic analysis
Chapter 9: Sets of fractional dimension
Chapter 10: Ultrafilters
Chapter 11: Scissors congruence
Chapter 12: Brownian safari

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