Introduction to Topology by Mendelson

[micromass]

• Author: Bert Mendelson
• Title: Introduction to Topology
• Amazon link: https://www.amazon.com/dp/0486663523/?tag=pfamazon01-20
• Level: Undergrad

 

[Jorriss]

This book is a fairly solid introduction to topology but not nearly as expansive as Munkres, but it's also 1/13th the cost.

 

[jbunniii]

I think this is a very nice, crystal-clear introduction to metric spaces and basic point-set topology. For the topics it covers, I like it better than Munkres, and I find it much easier to find things quickly when I need them. And hell, if you're in the US, you can't beat the $5.62 price at Amazon.

 

[Sankaku]

I like this book. Munkres is good but this book is a gentler start. It has better intuition for people coming in without as much knowledge of analysis.

 

[rezeew]

As a fellow scientist, I highly recommend Bert Mendelson's Introduction to Topology as a valuable resource for undergraduate students. This book provides a comprehensive and accessible introduction to the fascinating field of topology.

Mendelson's writing style is clear and concise, making complex concepts easy to understand. The book covers a wide range of topics, from basic set theory to more advanced topics such as homotopy and fundamental groups. The inclusion of numerous examples and exercises throughout each chapter allows readers to apply their knowledge and deepen their understanding.

One aspect that sets this book apart is its emphasis on geometric intuition. Mendelson does an excellent job of using visual aids and diagrams to help readers develop a strong intuition for topological concepts. This approach makes the material more engaging and easier to grasp for students who may be new to the subject.

The book also includes a chapter on applications of topology, which showcases the practical relevance of this field in areas such as physics, computer science, and biology. This chapter not only demonstrates the real-world applications of topology but also highlights the interdisciplinary nature of this field.

In conclusion, Introduction to Topology by Mendelson is a highly recommended read for any undergraduate student interested in topology. Its clear writing style, comprehensive coverage of topics, and emphasis on geometric intuition make it an invaluable resource for learning this fascinating subject.