Topology

An Introduction
2014
ISBN: 978-3-319-09679-7
Verlag: Springer International Publishing

Buch, Englisch, 136 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 263 g

This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and is also omnipresent in more applied parts of mathematics. Therefore students will need fundamental topological notions already at an early stage in their bachelor programs.

While there are already many excellent monographs on general topology, most of them are too large for a first bachelor course. Topology fills this gap and can be either used for self-study or as the basis of a topology course.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Waldmann, Stefan

Fachgebiete

• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

Introduction.- Topological Spaces and Continuity.- Construction of Topological Spaces.- Convergence in Topological Spaces.- Compactness.- Continuous Functions.- Baire’s Theorem.

Über Autor(innen)

Stefan Waldmann is a mathematician working in mathematical physics. His main interests are in symplectic geometry, Poisson geometry and deformation quantization using methods from locally convex analysis, differential geometry and algebra.