Faculdade de Ciências e Tecnologia

Introdução à Teoria de Conjuntos

Code

10987

Academic unit

Faculdade de Ciências e Tecnologia

Department

Departamento de Matemática

Credits

3.0

Teacher in charge

Reinhard Josef Klaus Kahle

Weekly hours

3

Total hours

42

Teaching language

Português

Objectives

An introduction to Set Theory is given. This theory is usually considered as the fundamental base of all Mathematics.

Prerequisites

Mathematical and logical spirit.

Subject matter

1. Motivation and historical notes
2. Axiomatization of Zermelo-Fraenkel
3. The Axiom of Choice
4. Applications
5. Alternative approaches
6. Questions of ongoing research

Bibliography

1. Y. Moschovakis. Notes on Set Theory. 2nd ed., Springer, 2006.
2. A. J. Franco de Oliveira. Teoria de Conjuntos. Livraria Escolar Editora, 1982.
3. P. R. Halmos. Naive Set Theory. Springer, 1998.
4. H. B. Enderton. Elements of Set Theory. Academic Press, 1977.

Teaching method

Usual university-style Math teaching.

Evaluation method

Weekly home work.

Oral examination.

Courses