Topological Spaces

Arnoud Van Rooij

ISBN 10: 1461268621 / ISBN 13: 9781461268628

Published by Springer New York Okt 2012, 2012

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of 'Extras' at the end of each chapter presenting a brief foray outside topology. 332 pp. Englisch.

Seller Inventory # 9781461268628

Bibliographic Details

• Title: Topological Spaces
• Publisher: Springer New York Okt 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 1461268621
• ISBN 13: 9781461268628
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 19D millimeters 235 millimeters width by 155 millimeters height by 19 millimeters depth
• Weight: 505 grams

About this title

Synopsis

Topological Spaces: From Distance to Neighborhood is a gentle introduction to topological spaces leading the reader to understand the notion of what is important in topology vis-a-vis geometry. The authors have carefully divided the book into three sections; The line and the plane, Metric spaces and Topological spaces, in order to mitigate the the move into higher levels of abstraction. Students will be very attracted to this presentation.