Solutions to Hungerford's "Abstract Algebra" 3rd Ed.

Click For Summary

Discussion Overview

The discussion revolves around the use of solution manuals for Hungerford's "An Introduction to Abstract Algebra" 3rd Ed. Participants express concerns about learning and verifying their understanding of abstract algebra concepts without access to solutions, while also debating the implications of using such resources.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses frustration over the lack of a solutions manual, emphasizing the difficulty of verifying their understanding of complex concepts while managing multiple courses.
  • Another participant argues that relying on solution manuals is detrimental to learning, suggesting that the process of solving problems is more important than the final answers.
  • A different viewpoint suggests that reviewing a few solutions can be beneficial for understanding the problem-solving process, as long as it is not the primary method of study.
  • Some participants agree that checking solutions should only occur after attempting the problems independently, advocating for a balance between self-sufficiency and guidance.
  • There is a sentiment that the emphasis on a purely bottom-up approach may be overstated, indicating a potential openness to alternative methods of learning.

Areas of Agreement / Disagreement

Participants generally disagree on the appropriateness and utility of using solution manuals, with some advocating for their limited use while others firmly oppose them. The discussion remains unresolved regarding the best approach to learning abstract algebra.

Contextual Notes

Participants express varying levels of experience and strategies for learning, indicating that individual circumstances may influence their perspectives on the use of solution manuals.

Physics2341313
Messages
53
Reaction score
0
I'm taking an abstract algebra course that uses Hungerford's "An Introduction to Abstract Algebra" 3rd Ed. And while I feel like I'm following the material sufficiently and can do most of the proofs it's hard to learn and practice the material without a solutions guide. How am I supposed to know the work I've practiced outside of class is correct, or if I have misunderstood a fundamental concept without a way to check my work?

I understand that as I approach subjects that are intrinsically more difficult it will require more time to understand the concepts. I'm taking abstract and real analysis simultaneously, on top of physics and cs courses, so staring at a page for hours on end isn't really a viable solution. Whereas simply looking at the solution to the problem could show me the error in my understanding in a matter of minutes.

That being said... is there a solutions manual / solutions anywhere? I've been scraping the web and have come up empty handed. I can't even find an instructor's solutions manual.
 
Physics news on Phys.org
Using a solution manual is cheating your way to a solution. It will get you a very nice and well-crafted solution. But it won't teach you at all about the process it takes you to get that solution. It is that process that is most important, not the eventual solutions to the problems.
Trust me, if you're going to keep relying on solution manuals, it will hit you in the face eventually.. hard.

Staring at a page for hours is a very decent strategy. I stare at pages for several hours too before it clicks. If you can't afford the time it takes you to get a "click", then you shouldn't be taking abstract algebra.
 
Still, I think there is something to be said for looking at just the first few solutions , reverse engineering them, to get a feel for how things are done. As long as you use this just as intro help and not your usual approach, I thinking it could be helpful.
 
WWGD said:
Still, I think there is something to be said for looking at just the first few solutions , reverse engineering them, to get a feel for how things are done. As long as you use this just as intro help and not your usual approach, I thinking it could be helpful.
Just for using solution manuals or answer keys in general,
Do as much as you can on each exercise and only check the solution in the manual AFTER you have done your best work.
 
symbolipoint said:
Just for using solution manuals or answer keys in general,
Do as much as you can on each exercise and only check the solution in the manual AFTER you have done your best work.

I agree, I think the pure bottom-up approach is over-emphasized.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
8K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 16 ·
Replies
16
Views
6K
Replies
12
Views
4K
  • · Replies 33 ·
2
Replies
33
Views
8K
  • · Replies 4 ·
Replies
4
Views
1K