Mathematics – Trieste

Argomenti del programma: 1. Numerical sets. Natural numbers. Integer numbers and rational numbers. Basic notions of logic. Set theory. Operations on sets. Basic aspects of combinatorics. 2. Axioms of real numbers. The axiom of separation. Upper bound and lower bound. Existence theorem of the upper/lower bound. Topology of real numbers. Neighbourhoods, open and closed sets. Points of accumulation and closure. Cantor's theorem. 3.

Argomenti del programma: 1. Numerical sets. Natural numbers. Integer numbers and rational numbers. Basic notions of logic. Set theory. Operations on sets. Basic aspects of combinatorics. 2. Axioms of real numbers. The axiom of separation. Upper bound and lower bound. Existence theorem of the upper/lower bound. Topology of real numbers. Neighbourhoods, open and closed sets. Points of accumulation and closure. Cantor's theorem. 3.