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Cover: 9783319096797 | Topology | An Introduction | Stefan Waldmann | Taschenbuch | Paperback
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Topology
An Introduction
Taschenbuch von Stefan Waldmann
Sprache: 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.
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.
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
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
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Waldmann, Stefan
Hersteller: Springer International Publishing
Maße: 235 x 155 x 8 mm
Von/Mit: Stefan Waldmann
Erscheinungsdatum: 20.08.2014
Gewicht: 0,263 kg
Artikel-ID: 105209326
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
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
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Waldmann, Stefan
Hersteller: Springer International Publishing
Maße: 235 x 155 x 8 mm
Von/Mit: Stefan Waldmann
Erscheinungsdatum: 20.08.2014
Gewicht: 0,263 kg
Artikel-ID: 105209326
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