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

[ehrenfest]

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.

 

[mathwonk]

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.

 

[Mene]

I understand the importance of self-study in mastering complex subjects like mathematical analysis. It appears that you have made great progress in your self-study of Rudin's Principles of Mathematical Analysis, and I commend you for seeking out additional resources to aid in your understanding.

Chapter 9 can indeed be challenging, and it is not surprising that there are fewer readily available resources for it compared to earlier chapters. However, I would suggest exploring other universities' course websites, as they may have different approaches and problem sets for these chapters. Additionally, you may want to consider reaching out to professors or graduate students in mathematics departments for guidance and advice.

In terms of suggested problems, I would recommend focusing on the problems that relate to the main theorems and concepts covered in the chapter. These will likely be the most important for understanding the material and will also help you assess your understanding of the material. You may also want to consider working through the examples and exercises in the text itself, as they are designed to reinforce key concepts and techniques.

Overall, self-study can be a challenging but rewarding process, and I encourage you to continue seeking out resources and support to aid in your learning. Best of luck in your studies!