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Basic Topology
Buch von M. A. Armstrong
Sprache: Englisch

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Beschreibung
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.
Zusammenfassung
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students using this book will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology.
Inhaltsverzeichnis
1 Introduction.- 2 Continuity.- 3 Compactness and connectedness.- 4 Identification spaces.- 5 The fundamental group.- 6 Triangulations.- 7 Surfaces.- 8 Simplicial homology.- 9 Degree and Lefschetz number.- 10 Knots and covering spaces.- Appendix: Generators and relations.
Details
Erscheinungsjahr: 1983
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 272
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
251 S.
56 s/w Illustr.
251 p. 56 illus.
ISBN-13: 9780387908397
ISBN-10: 0387908390
Sprache: Englisch
Herstellernummer: 10142406
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Armstrong, M. A.
Auflage: 1983
Hersteller: Springer US
Springer New York
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 21 mm
Von/Mit: M. A. Armstrong
Erscheinungsdatum: 05.07.1983
Gewicht: 0,576 kg
preigu-id: 106637958
Zusammenfassung
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students using this book will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology.
Inhaltsverzeichnis
1 Introduction.- 2 Continuity.- 3 Compactness and connectedness.- 4 Identification spaces.- 5 The fundamental group.- 6 Triangulations.- 7 Surfaces.- 8 Simplicial homology.- 9 Degree and Lefschetz number.- 10 Knots and covering spaces.- Appendix: Generators and relations.
Details
Erscheinungsjahr: 1983
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 272
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
251 S.
56 s/w Illustr.
251 p. 56 illus.
ISBN-13: 9780387908397
ISBN-10: 0387908390
Sprache: Englisch
Herstellernummer: 10142406
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Armstrong, M. A.
Auflage: 1983
Hersteller: Springer US
Springer New York
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 21 mm
Von/Mit: M. A. Armstrong
Erscheinungsdatum: 05.07.1983
Gewicht: 0,576 kg
preigu-id: 106637958
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