Is There a Resource for Rudin's Later Chapters Beyond Drexel's Website?

  • Thread starter Thread starter ehrenfest
  • Start date Start date
  • Tags Tags
    Self-study
Click For Summary
SUMMARY

The discussion centers on the challenges faced by self-studying Rudin's "Principles of Mathematical Analysis," specifically chapters 9, 10, and 11. The only available resource mentioned is Drexel University's course website, which provides suggested problems without solutions or hints. Participants suggest alternative resources, notably Spivak's "Calculus on Manifolds," which is recommended for a more comprehensive understanding of the material in chapters 9 and 10. The consensus indicates that while Rudin's work is foundational, it lacks sufficient guidance for self-learners in these specific chapters.

PREREQUISITES
  • Familiarity with Rudin's "Principles of Mathematical Analysis" up to chapter 8
  • Understanding of advanced calculus concepts
  • Basic knowledge of proof techniques in mathematics
  • Experience with self-directed study methods
NEXT STEPS
  • Explore Spivak's "Calculus on Manifolds" for a deeper understanding of topics in chapters 9 and 10
  • Investigate additional online resources or forums dedicated to Rudin's later chapters
  • Practice specific problems from Rudin's chapters 9, 10, and 11 to assess comprehension
  • Join study groups or online communities focused on advanced mathematical analysis
USEFUL FOR

Mathematics students, self-learners of advanced calculus, and educators seeking supplementary resources for teaching Rudin's later chapters will benefit from this discussion.

ehrenfest
Messages
2,001
Reaction score
1
I am trying to self-study Rudin's Principles of Mathematical Analysis. It worked well for the first 7-8 chapters since there were tons of resources online that gave suggested homework problems, solutions, and hints but now I have reached chapter 9 and the only course website I can find that actually covers those chapters is this one: http://vorpal.math.drexel.edu/course/ia2/index.xhtml
There they just give suggested problems but no solutions or hints, so sometimes I have a proof but I am really not sure if it is correct. Does anyone know of another course website that covers chapter 9,10,11 of Rudin? Also, can you give me some suggested problems? I used to just pick problems at random to do but that was a horrible idea since some of the problems are kind of "open-ended" or just really really hard and not really suitable for self-study.
 
Last edited by a moderator:
Physics news on Phys.org
what are the topics of those chapters?

doesn't rudin have a zillion problems?

you should know yourself by now if your solutions are correct or not. but we could look at some of them for you.ok i found what's in chapters 9,10,11.

if you want my advice, read spivak's calculus on manifolds instead of rudin's chapters 9 and 10.

i think spivak does a MUCH better job on those topics. rudin might be ok for chapter 11, but it is still only a bare minimum intro to the topic.
 
Last edited:

Similar threads

Replies
21
Views
3K
Replies
2
Views
659
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
7
Views
3K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 102 ·
4
Replies
102
Views
7K
Replies
2
Views
3K