Topology for Beginners
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Product details:
- Publisher OUP Pakistan
- Date of Publication 17 October 2022
- ISBN 9789697341825
- Binding Paperback
- No. of pages210 pages
- Size 241x178x11 mm
- Weight 342 g
- Language English
- Illustrations 85 b/w 684
Categories
Short description:
This book belongs to the genre of modern books that first motivate pictorially and then gently move up the path of mathematical rigour. The mathematical content covers a full introductory course on topology.
MoreLong description:
Topology for Beginners is written for undergraduate students enrolled in a 4-year Bachelor of Science programme. The mathematical content covers a full introductory course on topology. The authors explain why the subject is worth understanding and convince the reader that it is fun and useful. It builds up gradually, explaining why one needs to go to more abstraction, rather than using the 'Definition-Theorem-Proof' method. It does not avoid geometrical descriptions that help the reader to see what is meant, rather than relying on symbol manipulation to obtain results that will be true but in a manner that doesnt develop the intuition of the reader.
This book belongs to the genre of modern books that first motivate pictorially and then gently move up the path of mathematical rigour. Where concepts are introduced, or results are proved, the authors also indicate how and where they are used further in Topology, that lead to direct mathematical, natural science, and social science applications. By the end of the book, advanced topics are introduced in a way that makes them intelligible. It also provides many exercises to hone the reader's skills at problem solving in Topology.
Table of Contents:
Preface
Introduction
Topological Spaces
Metric Spaces
Continuous Functions and Homeomorphisms
The Separation Axioms
Compact Spaces
Connectedness
Further Directions in Topology and Applications
Bibliography
Index
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