What Are the Best Supplementary Materials for a Beginner's Real Analysis Course?

Click For Summary

Discussion Overview

The discussion revolves around recommendations for supplementary materials for a beginner's real analysis course. Participants share their experiences with various texts and resources, exploring their usefulness in conjunction with introductory coursework.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant is working through Velleman's proofs book and seeks additional recommendations for supplementary materials.
  • Another participant is watching lectures from Harvey Mudd College and reading Rubin's "Principles of Mathematical Analysis," expressing uncertainty about its usefulness.
  • Some participants question the necessity of Rudin's book for an introductory course, suggesting it may be too advanced for beginners.
  • Concerns are raised about the outdated nature of Rudin's book, with suggestions that "Guide to Analysis" may be a better alternative for beginners.
  • One participant mentions using Velleman to catch up with peers who have prior proof-based math experience.
  • Another participant clarifies that they are referring to Rubin's book, which they believe is standard for a first course in real analysis.

Areas of Agreement / Disagreement

Participants express differing opinions on the suitability of Rudin's book for beginners, with some strongly criticizing it while others defend its relevance. There is no consensus on the best supplementary materials, as various resources are proposed and debated.

Contextual Notes

Some participants indicate that their recommendations depend on prior experience with proof-based courses, which may influence the perceived difficulty of the suggested texts.

autre
Messages
116
Reaction score
0
I'm likely taking an introductory real analysis course in the fall, and I was wondering what supplementary material I should look into. I'm working my way through Velleman's proofs book, what else would you recommend as a supplement to a first course in RA?
 
Physics news on Phys.org
I've also watched a few videos of those Harvey Mudd lectures. How well are you following the Rudin book? Have you had a proofs course before?
 
autre said:
I'm likely taking an introductory real analysis course in the fall, and I was wondering what supplementary material I should look into. I'm working my way through Velleman's proofs book, what else would you recommend as a supplement to a first course in RA?

Velleman book is good. But, real analysis is just knowing how to set up the question. I doubt you will do any real analysis if you need to work through Vellemans book. You probably are doing more sequences and series. So you don't worry.

I only really did Real analysis in my second year and that was with complex analysis joined together.

I've also watched a few videos of those Harvey Mudd lectures. How well are you following the Rudin book? Have you had a proofs course before?

Don't even waste your time trying to read Rudin book. You probably won't need it as it's an introduction to real analysis course. Secondly, you would fail badly even to read the first chapter. Literally if you need to read a book on how to prove stuff then this isn't your book.

Personally I think Rudin book is god awful. It's old as hell and is pretty outdated. Guide to Analysis is probably better for you if you want to buy a book.
 
I doubt you will do any real analysis if you need to work through Vellemans book.

I'm only using Velleman to catch up to the students that might have taken proof-based math classes before.

Personally I think Rudin book is god awful. It's old as hell and is pretty outdated. Guide to Analysis is probably better for you if you want to buy a book.

Thanks for the advice. Who's the author of "Guide to Analysis"?
 
autre said:
I've also watched a few videos of those Harvey Mudd lectures. How well are you following the Rudin book? Have you had a proofs course before?

I am reading, making notes and try to prove any theorem he doesn't. I am almost done with the first two chapters. Didn't do many end of chapter problems though. I had proofs in other courses but not any proof heavy course.

simplicity123 said:
Don't even waste your time trying to read Rudin book. You probably won't need it as it's an introduction to real analysis course. Secondly, you would fail badly even to read the first chapter. Literally if you need to read a book on how to prove stuff then this isn't your book.

Personally I think Rudin book is god awful. It's old as hell and is pretty outdated. Guide to Analysis is probably better for you if you want to buy a book.

Are you sure you are thinking about the same book. I am talking about the blue cover Rubin not the green graduate analysis text. This one seems pretty standard for a first course in real analysis.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
41
Views
9K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K