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Beschreibung
This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. While containing all the key results of basic topology, the book never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.
This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. While containing all the key results of basic topology, the book never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.
Zusammenfassung

This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. While containing all the key results of basic topology, the book never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.

Inhaltsverzeichnis
Continuous Functions.- Topological Spaces.- Topological Properties.- Deconstructionist Topology.- Homotopy.- The Euler Number.- Homotopy Groups.- Simplicial Homology.- Singular Homology.- More Deconstructionism.
Details
Erscheinungsjahr: 2005
Fachbereich: Topologie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
224 S.
110 s/w Illustr.
224 p. 110 illus.
ISBN-13: 9781852337827
ISBN-10: 1852337826
Sprache: Englisch
Herstellernummer: 10966075
Einband: Kartoniert / Broschiert
Autor: Crossley, Martin D.
Hersteller: Springer
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 14 mm
Von/Mit: Martin D. Crossley
Erscheinungsdatum: 05.08.2005
Gewicht: 0,371 kg
Artikel-ID: 102399230

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