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Englisch
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Beschreibung
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.
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.
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.
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.
Über den Autor
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.
Zusammenfassung
Provides a thorough but concise introduction to general topology
Studies point set topology necessary for most advanced courses e.g., in differential geometry, functional analysis, algebraic topology
Can be used directly to teach a course on topology
Includes supplementary material: [...]
Inhaltsverzeichnis
Introduction.- Topological Spaces and Continuity.- Construction of Topological Spaces.- Convergence in Topological Spaces.- Compactness.- Continuous Functions.- Baire's Theorem.
Details
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
136 S. 4 s/w Illustr. 13 farbige Illustr. 136 p. 17 illus. 13 illus. in color. |
| ISBN-13: | 9783319096797 |
| ISBN-10: | 3319096796 |
| Sprache: | Englisch |
| Herstellernummer: | 86370331 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Waldmann, Stefan |
| Hersteller: |
Springer
Palgrave Macmillan Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 8 mm |
| Von/Mit: | Stefan Waldmann |
| Erscheinungsdatum: | 20.08.2014 |
| Gewicht: | 0,263 kg |