Is it a mistake to use this topology textbook for my class?

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Discussion Overview

The discussion revolves around the appropriateness of a specific topology textbook required for a course, with participants sharing their opinions on various topology texts and their experiences. The scope includes recommendations for textbooks, comparisons of content, and considerations for following a different text than the one used in class.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants express skepticism about the required textbook, suggesting that more established texts like Munkres or Willard are preferable for learning topology.
  • One participant mentions that while Armstrong's book is dense and can be challenging, it may still be suitable for those with a background in topology.
  • Another participant argues that all recommended books should cover the necessary basics, implying that students may not need to worry about the specific text used in class.
  • Concerns are raised about the difficulty of following a different textbook than the one used in class, with suggestions to focus on the required text while using others for clarification.
  • Some participants note that Willard's book is more advanced and contains non-trivial problems, but it is also valuable for its notes and bibliography.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the suitability of the required textbook, with multiple competing views on the effectiveness of different topology texts and the challenges of using a different book than the one assigned.

Contextual Notes

Some participants highlight the potential difficulty of following a different text, depending on how closely the instructor adheres to the required textbook. There are also varying opinions on the value and accessibility of the recommended texts.

malicx
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So, the list of required texts for my fall courses came out today and I found that my topology course is requiring this piece of crap: https://www.amazon.com/dp/1441928197/?tag=pfamazon01-20. Normally I'm not scared away by bad reviews, but in this case I can't help thinking that the instructor is making a terrible mistake, since Munkres or Willard are pretty much the be-all-end-all of point-set topology books.

So, I'm looking for advice. I am thinking about either buying Munkres or Willard and then just photocopying possible homework sets from a friend/library. Does anyone have any input? Will material coverage be generally similar enough that I'll be able to do that? Should I email the prof and ask him what the heck he's thinking (just kidding, although I really do wonder...)?

EDIT: Additionally, is it much more difficult following a different text than a class uses? This is the first class I'm considering using a different book for

Thanks for any help,
Tyler
 
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Munkres is a solid book you can't go wrong with, it will cover all your basic material. What makes you think your class' textbook is useless?
 
One of my topology courses taught a few sections out of armstrong. It is a very dense textbook and can be hard to follow at times as Armstrong likes to bury his theorems and definitions. As far as an introductory course on topology I would definitely recommend Munkres over Armstrong, but once you have a background Armstrong is okay too.

If you think that Armstrong is bad you should check out Goodman's Beginning Topology. Worst introductory topology book ever.
 
Willard's book is very good and it is cheap. I don't know anything about Munkres but his book is probably the most popular topology book; it is however ridiculously expensive, even used, as is the case with many popular textbooks. I don't see the point in getting three general topology books unless you're quite certain you want to go into a field that uses a lot of point-set topology.

If Armstrong's book is the required text then you must get it. It seems you can get it used for a reasonable price. Don't bother e-mailing the prof. You're only a student who hasn't even taken the course yet so he won't much care for what you have to say. Maybe wait for the course evaluation that comes at the end if you still think the book sucks, it may grow on you instead.
Don't worry about the material the books cover, they will all cover the necessary basics (as long as you get an undergrad book).
 
qspeechc said:
Willard's book is very good and it is cheap. I don't know anything about Munkres but his book is probably the most popular topology book; it is however ridiculously expensive, even used, as is the case with many popular textbooks. I don't see the point in getting three general topology books unless you're quite certain you want to go into a field that uses a lot of point-set topology.

If Armstrong's book is the required text then you must get it. It seems you can get it used for a reasonable price. Don't bother e-mailing the prof. You're only a student who hasn't even taken the course yet so he won't much care for what you have to say. Maybe wait for the course evaluation that comes at the end if you still think the book sucks, it may grow on you instead.
Don't worry about the material the books cover, they will all cover the necessary basics (as long as you get an undergrad book).

Thanks for the advice everyone. I'll probably just buy armstrong and willard both. They are both pretty cheap and I believe willard is supposed to be more advanced.
 
willard's book is more advanced & a lot of the problems are highly non-trivial. don't feel bad if you don't solve all of them on your first go. it's worth getting just for the notes & bibliography in the back though.
 
malicx said:
EDIT: Additionally, is it much more difficult following a different text than a class uses? This is the first class I'm considering using a different book for

It can be. If your teacher actually follows the book closely then you may want to still concentrate on using Armstrong as your main text and use other texts when you need clarification or better exposition. One thing that helps if you do end up using different books is to choose one set of notation to work with, hopefully one that you're naturally inclined towards. This will save you some time if you for instance decide to take down the better or best proof of a particular theorem from the books you're using.
 

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