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1. Introduction.
2. Invariants.
3. Crossing a River.
4. Games.
5. Knights and Knaves.
6. Induction.
7. Fake-Coin Detection.
8. The Tower of Hanoi.
9. Principles of Algorithms Design.
10. The Bridge Problem.
11. Knight’s Circuit.
II. Mathematical Techniques.
12. The Language of Mathematics.
13. Boolean Algebra.
14. Quantifiers.
15. Elements of Number Theory.
16. Relations, Graphs and PTH Algebras.
Solutions to Exercises.
Bibliography.