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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: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xii
251 S. 56 s/w Illustr. 251 p. 56 illus. |
ISBN-13: | 9781441928191 |
ISBN-10: | 1441928197 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Armstrong, M. A. |
Hersteller: |
Springer US
Springer New York |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 15 mm |
Von/Mit: | M. A. Armstrong |
Erscheinungsdatum: | 01.12.2010 |
Gewicht: | 0,417 kg |
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: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xii
251 S. 56 s/w Illustr. 251 p. 56 illus. |
ISBN-13: | 9781441928191 |
ISBN-10: | 1441928197 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Armstrong, M. A. |
Hersteller: |
Springer US
Springer New York |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 15 mm |
Von/Mit: | M. A. Armstrong |
Erscheinungsdatum: | 01.12.2010 |
Gewicht: | 0,417 kg |
Sicherheitshinweis