Learn Topology: Get Intro Book Recommendations

  • Thread starter Thread starter blob100
  • Start date Start date
  • Tags Tags
    Topology
Click For Summary

Discussion Overview

The discussion revolves around recommendations for introductory books on topology, with participants sharing their preferences and experiences with various texts. The scope includes suggestions for self-study materials suitable for university-level mathematics students.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant seeks recommendations for introductory topology books.
  • Another participant suggests "Introduction to Topological Manifolds" by John M. Lee and "Basic Topology" by Armstrong.
  • A different participant identifies Munkres as the standard undergraduate textbook but notes that familiarity with analysis can enhance understanding.
  • Some participants express a preference against Munkres, favoring Lee's book and mentioning "General Topology" by Willard as a good alternative.
  • Additional references mentioned include Engelking's "General Topology" and Dugundji's "Topology."
  • One participant requests clarification on the perceived deficiencies of Munkres while planning to use it for their studies.

Areas of Agreement / Disagreement

Participants express differing opinions on the suitability of Munkres as a textbook, with some advocating for it while others prefer alternative texts. No consensus is reached regarding the best introductory book.

Contextual Notes

Some participants mention the importance of prior knowledge in analysis for understanding certain concepts in topology, indicating a potential limitation for those without such background.

Who May Find This Useful

Students beginning their studies in topology, educators seeking teaching materials, and individuals interested in self-study resources in mathematics.

blob100
Messages
5
Reaction score
0
Anyone would like to help me?:
I started learning some mathematics in university.
I would like to start learning by my own topology.
Anyone have a name of a good intro. book in the area?
 
Physics news on Phys.org
Introduction to topological manifolds by John M. Lee.

Basic Topology by Armstrong.
 
Munkres is the standard undergraduate textbook. It's helpful to know some analysis though because it will motivate the concepts. Also in many scenarios general topology will feel like analysis except you won't be using a metric, or a distance.
 
I don't really like Munkres. The book by Lee mentioned above is great though. Also, General Topology by Willard is very good. As a reference for point-set topology, Engelking's General Topology and Dugundji's Topology are nice.
 
Landau said:
I don't really like Munkres. The book by Lee mentioned above is great though. Also, General Topology by Willard is very good. As a reference for point-set topology, Engelking's General Topology and Dugundji's Topology are nice.

I'm going to use Munkres this semester, and I'd really appreciate if you could explain what the deficiences of this book are.
 

Similar threads

Studying Need advice for research subjects in both topological and general relativity
  • · Replies 2 ·
Replies
2
Views
2K
Undergraduate research topics in topology?
  • · Replies 6 ·
Replies
6
Views
2K
Possible research directions for a beginner in TQFT
  • · Replies 4 ·
Replies
4
Views
2K
Studying Should I study Topology or Group Theory?
  • · Replies 7 ·
Replies
7
Views
3K
Re-Learn Math for Physics Olympiad
  • · Replies 1 ·
Replies
1
Views
3K
Can Einstein's Equations Enable Time Travel?
  • · Replies 17 ·
Replies
17
Views
3K
Studying Preparing for Math and Physics Courses
  • · Replies 4 ·
Replies
4
Views
2K
Studying Is the suggestion for self-learning mathematics from books wrong?
  • · Replies 1 ·
Replies
1
Views
2K
Any online courses (like Coursera) recommended for analog electronics?
  • · Replies 3 ·
Replies
3
Views
3K
Balancing Learning Theory & Problem Solving: A Student's Guide
  • · Replies 7 ·
Replies
7
Views
3K