Sutherland, Wilson A
Introduction to Metric and Topological Spaces
- ISBN 13:
- 9780199563081
- author:
- Sutherland, Wilson A
- format:
- Paperback
- publisher:
- Oxford University Press, U.S.A.
- language:
- English
- Publication Year:
- 2010
- Pages:
- 224
- Dimensions:
- 23 x 15.2 x 1.4 cm
- Genre:
- Geometry
- Condition:
- New
- Availability:
- Item usually sent within 4 working days
Description
Introduction to Metric and Topological Spaces by Wilson A Sutherland provides a comprehensive introduction to the study of continuity and convergence in a general setting. The book bridges the gap between real analysis and abstract topological spaces, using metric spaces as a bridge. Continuity is established as the motivating concept, and several key concepts are introduced, including connectedness, compactness, and completeness. The book also explores the geometric aspect of topology, often referred to as "rubber-sheet geometry", which is illustrated by describing standard surfaces and how they fit into the story of topological developments. This edition, now in its second printing, is aimed at second- or third-year mathematics students and includes numerous exercises, many with hints, as well as a companion website with further explanations and examples. Suitable for students looking to expand their understanding of mathematical analysis, this book offers a clear and structured approach to the study of metric and topological spaces.
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