Introduction to Topology by Mendelson

  • Context: Topology 
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Discussion Overview

The discussion centers around the book "Introduction to Topology" by Bert Mendelson, focusing on its suitability as an introductory text for topology, particularly in comparison to other texts like Munkres. Participants evaluate its content, clarity, and accessibility for undergraduate students.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • Some participants suggest that Mendelson's book is a solid introduction to topology, though not as comprehensive as Munkres.
  • Others argue that Mendelson's text provides a clearer introduction to metric spaces and basic point-set topology, making it preferable for certain readers.
  • One participant notes the affordability of the book as a significant advantage, especially in comparison to Munkres.
  • Another participant appreciates the book's gentler approach, suggesting it offers better intuition for those with less background in analysis.

Areas of Agreement / Disagreement

Participants express varying opinions on the strengths and weaknesses of Mendelson's book compared to Munkres, indicating that multiple competing views remain regarding which text is more suitable for introductory topology.

Contextual Notes

Some comments reflect personal preferences and experiences with the texts, which may depend on individual backgrounds in mathematics and analysis.

For those who have used this book

  • Strongly Recommend

    Votes: 3 60.0%

  • Lightly Recommend

    Votes: 2 40.0%

  • Lightly don't Recommend

    Votes: 0 0.0%

  • Strongly don't Recommend

    Votes: 0 0.0%
  • Total voters
    5
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This book is a fairly solid introduction to topology but not nearly as expansive as Munkres, but it's also 1/13th the cost.
 
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.
 
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.
 

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