Ch. 2. Rational Parametrizations of the Circle
Ch. 3. Sums of Squares of Polynomials
Ch. 4. Representing Numbers as the Sum of Two Squares
Ch. 5. Can Any Knot Be Unraveled?
Ch. 6. Construction of a Regular 17-gon
Ch. 7. The Markov Equation
Ch. 8. Integer-Valued Polynomials
Ch. 9. Chebyshev Polynomials
Ch. 10. Vectors in Geometry
Ch. 11. The Averaging Method and Geometric Inequalities
Ch. 12. Intersection Points of the Diagonals of Regular Polygons
Ch. 13. The Chromatic Polynomial of a Graph
Ch. 15. Diophantine Equations for Polynomials
Ch. 17. Oue Butterfly and Two Butterflies Theorems
Ch. 18. The Van der Waerden Theorem on Arithmetical Progression
Ch. 19. Isogonal Conjugate Points
Ch. 20. Cubic Curves Related to the Triangle.