Table of Contents

1: Two-Dimensional Manifolds. 2: The Fundamental Group. 3: Free Groups and Free Products of Groups. 4: Seifert and Van Kampen Theorem of the Fundamental Groups of the Union of Two Spaces. 5: Covering Spaces. 6: The Fundamental Group and Covering Spaces of a Graph. 7: The Fundamental Group of Higher Dimensional Spaces. 8: Epilogue.