Book Summary of TOPOLOGY OF METRIC SPACES
TOPOLOGY OF METRIC SPACES gives a very streamlined development of a course in metric
space topology emphasizing only the most useful concepts, concrete spaces and geometric
ideas to encourage geometric thinking, to treat this as a preparatory ground for a general
topology course, to use this course as a surrogate for real analysis and to help the students
gain some perspective of modern analysis. In this second revised and enlarged edition, based
on the extensive feedback sent by the readers, some material has been removed, some new
material included and nearly all problems are given comments, hints and solutions.
Key Features
- All concepts introduced using the primitive concepts of open balls or open sets.
- Geometric motivations of concepts, definitions and results.
- Real life motivations and analogies.
- Lots of concrete and geometric examples and pictures.
- Numerous exercises in meaningful contexts, with copious hints to most of them.
- Typical applications of major results Attention to the difficulties faced by beginners.
- Most of the proofs start with the strategy of the proof so as to enable good students.
- To work on their own.
- Prepares the ground for higher aspects of topology and analysis.
Table of Contents
- Preface
- Basic Notions
- Convergence
- Continuity
- Compactness
- Connectedness
- Complete Metric Spaces
- Answers, Hints and Solutions
- Bibliography
- Index.
Details of Book: TOPOLOGY OF METRIC SPACES
| Book: | TOPOLOGY OF METRIC SPACES |
| Author: | Kumaresan |
| ISBN: | 8184870582 |
| ISBN-13: | 9788184870589,978-8184870589 |
| Binding: | Paperback |
| Publishing Date: | 2011 |
| Publisher: | Narosa |
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