Introduction to Mathematical Proofs

Více o knize

Focusing on the foundations of higher mathematics, the book emphasizes the development of theorems and proofs, starting with logic and deductive systems. It covers natural numbers, integers, rational and real numbers, alongside elementary set theory. Key topics include properties of relations and functions, with several theorems proven through induction. The latter chapters delve into cardinalities of sets and introduce concepts from real analysis and group theory, providing a comprehensive preparation for advanced mathematical study.