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Basic Topology
Taschenbuch 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
Preface. 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. Bibliography. Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 272
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
251 S.
56 s/w Illustr.
251 p. 56 illus.
ISBN-13: 9781441928191
ISBN-10: 1441928197
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Armstrong, M. A.
Auflage: 1983
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 235 x 155 x 15 mm
Von/Mit: M. A. Armstrong
Erscheinungsdatum: 01.12.2010
Gewicht: 0,417 kg
preigu-id: 107181524
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
Preface. 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. Bibliography. Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 272
Reihe: Undergraduate Texts in Mathematics
Inhalt: xii
251 S.
56 s/w Illustr.
251 p. 56 illus.
ISBN-13: 9781441928191
ISBN-10: 1441928197
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Armstrong, M. A.
Auflage: 1983
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 235 x 155 x 15 mm
Von/Mit: M. A. Armstrong
Erscheinungsdatum: 01.12.2010
Gewicht: 0,417 kg
preigu-id: 107181524
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