A Course in Point Set Topology | Buch

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Cover: 9783319023670 | A Course in Point Set Topology | John B. Conway | Buch | XII | 2013

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Sprache: Englisch

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Beschreibung

This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the student has been properly exposed to the ideas of basic set theory such as subsets, unions, intersections, and functions, as well as convergence and other topological notions in the real line. Appendices are included to bridge the gap between this new material and material found in an analysis course. Metric spaces are one of the more prevalent topological spaces used in other areas and are therefore introduced in the first chapter and emphasized throughout the text. This also conforms to the approach of the book to start with the particular and work toward the more general. Chapter 2 defines and develops abstract topological spaces, with metric spaces as the source of inspiration, and with a focus on Hausdorff spaces. The final chapter concentrates on continuous real-valued functions, culminating in a development of paracompact spaces.

Über den Autor

John B. Conway is Professor Emeritus of the Department of Mathematics at The George Washington University. He is the author of other well-regarded textbooks, including but not limited to Functions of One Complex Variable, A Course in Functional Analysis, and A Course in Operator Theory.

Zusammenfassung

Features undergraduate material in metric spaces, abstract topological spaces, and continuous real-valued functions

Develops the material from the more particular to the general concepts

Contains many exercises of varying difficulty

Includes interesting historical notes

Inhaltsverzeichnis

¿¿¿Metric Spaces.- Topological Spaces.- Continuous Real-Valued Functions.- Appendix.- Bibliography.- Terms.- Symbols.

Details

Erscheinungsjahr:	2013
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	156
Reihe:	Undergraduate Texts in Mathematics
Inhalt:	xii 142 S.
ISBN-13:	9783319023670
ISBN-10:	3319023675
Sprache:	Englisch
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Conway, John B.
Auflage:	2014
Hersteller:	Springer International Publishing Undergraduate Texts in Mathematics
Maße:	241 x 160 x 13 mm
Von/Mit:	John B. Conway
Erscheinungsdatum:	15.11.2013
Gewicht:	0,406 kg

preigu-id: 105585950