University · Mathematics · Introduction to University Mathematics

Functions, Relations, and Cardinality

4 Abschnitte1 Karteikarten-Decks1 Quizze

A rigorous treatment of functions as mappings with the properties of injectivity, surjectivity, and bijectivity; relations, with special focus on equivalence relations and equivalence classes; and cardinality, including the distinction between finite, countably infinite, and uncountable sets, culminating in Cantor's diagonal argument.

Inhaltsübersicht

  • Functions: Injective, Surjective, Bijective
  • Relations and Equivalence Relations
  • Cardinality: Finite, Countable, and Comparing Sizes
  • Cantor's Diagonal Argument: The Reals Are Uncountable
Diagram of arrows mapping elements of set A to set B illustrating injective and surjective functions
Pixabay – Pixabay License

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