---
product_id: 118374769
title: "Introduction to Topology: Third Edition (Dover Books on Mathematics)"
price: "€ 2.47"
currency: EUR
in_stock: false
reviews_count: 13
url: https://www.desertcart.hr/products/118374769-introduction-to-topology-third-edition-dover-books-on-mathematics
store_origin: HR
region: Croatia
---
# Introduction to Topology: Third Edition (Dover Books on Mathematics)
**Price:** € 2.47
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- **What is this?** Introduction to Topology: Third Edition (Dover Books on Mathematics)
- **How much does it cost?** € 2.47 with free shipping
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## Description
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure. The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n -space and which lead to the ordinary topology. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.
Review: Great introduction, especially for self-study - Overall, great introductory book to topology. The pedagogy was excellent and the development of topics made sense in going from metric spaces (a notion that is general more intuitive) to abstract topological spaces. In particular, it was great for self-study as Mendelson doesn't shy away from fully fleshing-out proofs and repeating relatively similar cases with some additional notes (e.g. when going from metric to topological spaces and proving several ideas there). The book itself can certainly be read by anyone with a set theory background and some intuitive notion of limits/sequences (i.e. a class in pre-calculus), but that doesn't mean it's easy, by any means. I struggled quite a bit with the intuition behind some of the proofs, and have, more than once, rolled around on my bed trying to recall (or prove again) some particular statement that I found quite useful. Sadly, the book doesn't have a section on homotopy equivalence and some other useful notions, but do recall it is an introduction in exactly 200 pages of short text. This book took me at least 20-30 hours to get through, skipping only the very latter section on compactess and doing at least two of the harder problems in each section; but I have very little experience with analysis, something I'm sure would have helped complete this and gain the corresponding intuition much more quickly. Again, great book and would highly recommend it for self-study of topology.
Review: Good introductory level book - This is an entry level book about general topology (or point set topology). The book is written in a clear and well-organized manner, quite easy to follow. It's worth mentioning that aside from the rigorous statement of concepts/theorems, the author also made an effort to explain how and why people get there. This helps me gain the mathematical intuition about the topics, and hence gain better and structured understanding and make the topics really a solid part of my knowledge. The problems are quite gentle and proper for beginners. BTW, I am not majored in mathematics, but I feel quite comfortable going through this book. Quite pleasant reading experience.
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## Technical Specifications
| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #327,568 in Kindle Store ( See Top 100 in Kindle Store ) #6 in Topology (Kindle Store) #10 in Topology (Books) #18 in General Geometry |
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## Customer Reviews
### ⭐⭐⭐⭐⭐ Great introduction, especially for self-study
*by G***S on December 18, 2015*
Overall, great introductory book to topology. The pedagogy was excellent and the development of topics made sense in going from metric spaces (a notion that is general more intuitive) to abstract topological spaces. In particular, it was great for self-study as Mendelson doesn't shy away from fully fleshing-out proofs and repeating relatively similar cases with some additional notes (e.g. when going from metric to topological spaces and proving several ideas there). The book itself can certainly be read by anyone with a set theory background and some intuitive notion of limits/sequences (i.e. a class in pre-calculus), but that doesn't mean it's easy, by any means. I struggled quite a bit with the intuition behind some of the proofs, and have, more than once, rolled around on my bed trying to recall (or prove again) some particular statement that I found quite useful. Sadly, the book doesn't have a section on homotopy equivalence and some other useful notions, but do recall it is an introduction in exactly 200 pages of short text. This book took me at least 20-30 hours to get through, skipping only the very latter section on compactess and doing at least two of the harder problems in each section; but I have very little experience with analysis, something I'm sure would have helped complete this and gain the corresponding intuition much more quickly. Again, great book and would highly recommend it for self-study of topology.
### ⭐⭐⭐⭐⭐ Good introductory level book
*by D***C on February 11, 2018*
This is an entry level book about general topology (or point set topology). The book is written in a clear and well-organized manner, quite easy to follow. It's worth mentioning that aside from the rigorous statement of concepts/theorems, the author also made an effort to explain how and why people get there. This helps me gain the mathematical intuition about the topics, and hence gain better and structured understanding and make the topics really a solid part of my knowledge. The problems are quite gentle and proper for beginners. BTW, I am not majored in mathematics, but I feel quite comfortable going through this book. Quite pleasant reading experience.
### ⭐⭐⭐⭐ Great Introduction Book
*by A***E on October 3, 2024*
The book was ideal for an undergraduate looking to prepare for classes that would benefit from an understanding of Topology. It's a small book that holds up well and fits easily in even the tightest of backpacks.
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*Last updated: 2026-05-19*