How to Self-study Analysis. Part Ii: Intermediate Analysis - Comments

Click For Summary
SUMMARY

This discussion focuses on self-studying intermediate analysis, specifically referencing Carother's "Real Analysis" as a valuable resource. Participants express enthusiasm for topics such as metric spaces and continuity, highlighting the importance of community support in learning. Micromass is recognized for providing helpful guides, and there is a request for free ebooks related to the subject matter. The conversation emphasizes the accessibility of advanced mathematical concepts through collaborative learning.

PREREQUISITES
  • Understanding of basic mathematical concepts such as sets and functions.
  • Familiarity with introductory analysis topics, including limits and continuity.
  • Knowledge of metric spaces and their properties.
  • Ability to engage with mathematical texts and proofs effectively.
NEXT STEPS
  • Explore Carother's "Real Analysis" for a comprehensive understanding of the subject.
  • Research free online resources for advanced mathematical texts and ebooks.
  • Learn about metric spaces in detail, focusing on their applications in analysis.
  • Engage with online forums or study groups to discuss and clarify complex concepts.
USEFUL FOR

Students of mathematics, self-learners interested in advanced analysis, and educators seeking resources for teaching intermediate analysis concepts.

micromass
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
Messages
22,170
Reaction score
3,327
micromass submitted a new PF Insights post

How to self-study analysis. Part II: intermediate analysis

selfstudyanalysis.png


Continue reading the Original PF Insights Post.
 
  • Like
Likes   Reactions: Demystifier, CrunchBerries, ProfuselyQuarky and 1 other person
Physics news on Phys.org
Came across Carother's Real Analysis at my campus' "take because we don't want them" book pile. I think I'll take it and perhaps one day I'll be able to understand.
 
ProfuselyQuarky said:
Came across Carother's Real Analysis at my campus' "take because we don't want them" book pile. I think I'll take it and perhaps one day I'll be able to understand.

That day might come quicker than you think!
 
  • Like
Likes   Reactions: ProfuselyQuarky
Ugh . . . you really are on PF 24/7 :smile::smile:
micromass said:
That day might come quicker than you think!
I hope so. Reading about metric spaces is fascinating (especially continuity).
 
Last edited:
ProfuselyQuarky said:
Welcome to PF @Lulumay!

Uh, no. That was supposed to be a compliment. I admire micromass' commitment and passion for math. Not sure why you thought otherwise :oldconfused:

I don't know, the "ugh" can be interpreted negatively :sorry:
I'm not on here 24/7 though, even though I'd like to be. We just happen to be online at the same time often...
 
Thank you micro ! Your guides are very helpful.
 
thanks a lot
would you please introduce free ebooks in these subjects?
thanks again for your usefull guides
 

Similar threads

Insights Comments - How to self-study algebra. Part II: Abstract Algebra - Comments
  • · Replies 4 ·
Replies
4
Views
3K
Insights Problems with Self-Studying - Comments
  • · Replies 48 ·
2
Replies
48
Views
10K
Insights How to Self Study Geometry. Part I: Pure Geometry - Comments
  • · Replies 3 ·
Replies
3
Views
2K
Insights How to Self-Study Calculus - Comments
  • · Replies 27 ·
Replies
27
Views
7K
Insights How to Self-study Algebra: Linear Algebra - Comments
  • · Replies 8 ·
Replies
8
Views
4K
Schools How to Self-Study Basic High School Mathematics - Comments
  • · Replies 5 ·
Replies
5
Views
4K
Studying How to self study Physics and Mathematics
  • · Replies 10 ·
Replies
10
Views
5K
Recommendations for study materials to prepare for undergrad Physics
  • · Replies 7 ·
Replies
7
Views
3K
Insights How to Study Mathematics - Comments
  • · Replies 15 ·
Replies
15
Views
6K
Studying What Are the Best Steps for Self-Teaching Theoretical Physics?
  • · Replies 14 ·
Replies
14
Views
4K