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83818262
Elementary Topology: Second Edition (Dover Books on Mathematics)
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Item #:
83818262
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Elementary Topology is a powerful tool in almost every sphere of mathematical study.
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What Stands Out
Comprehensive Coverage
This edition provides an extensive overview of elementary topology, designed for both students and educators, ensuring a strong foundation in concepts crucial for advanced mathematical understanding.
Accessible Language
Written in clear, concise language, this text breaks down complex ideas into understandable segments, making it ideal for beginners and self-learners aiming to grasp core topology concepts with ease.
Affordable Edition
Published by Dover, this second edition offers high-quality mathematical content at an affordable price, giving cost-conscious students access to essential academic resources without compromising on quality.
Product Details
- Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence.In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.
| Publisher | Dover Publications |
| Publication date | November 1, 1990 |
| Edition | Second |
| Language | English |
| Print length | 288 pages |
| ISBN-10 | 0486665224 |
| ISBN-13 | 978-0486665221 |
| Item Weight | 10.4 ounces (294.84 grams) |
| Dimensions | 5.43 x 0.6 x 8.5 inches (13.8 x 1.5 x 21.6 cm) |
Who Should Buy?
-
Mathematics Students
Ideal for undergraduate students seeking a comprehensive introduction to topology concepts and foundational principles in mathematics.
-
Self-Study Learners
Great for independent learners who can benefit from clear explanations and exercises to reinforce understanding of topology.
-
Instructors and Educators
Useful for teachers looking for a structured resource to guide their curriculum on elementary topology topics.
-
Beginners in Math
Not suitable for those without prior knowledge of basic mathematical concepts, as it assumes familiarity with advanced topics.
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Features & Benefits
- Intended as a first text in topology
- Accessible to readers with at least three semesters of a calculus and analytic geometry sequence
- Superb coverage of fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials
- Added perspective on abstract topological notions developed from classical mathematics
- Second edition includes numerous exercises and section on paracompactness and complete regularity
- Extended appendix on infinite products and a proof of the Tychonoff theorem
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