including 530 solved problems1. Sets and subsets2. Basic set operations3. Sets of numbers4. Functions5. Product sets and graphs of functions6. Relations7. Further theory of sets8. Further theory of functions operations9. Cardinal numbers10. Partially and totally ordered sets11. Well-ordered sets ordinal numbers12. Axiom of choic. Zorn's lemma. Well-ordering theorem13. Paradoxes in set theory14. Algebra of propositions15. Quantifiers16. Boolean algebra17. Logical reasoning