Where can I find SOLUTIONS to real analysis problems?

Question

I'm specifically interested in problem sets in Real Analysis that have solutions. I have a few books on it, but I'd like to compare my solutions with some given answers in a lot of cases to ensure that I've mastered the material as much as possible.

I've searched Real Analysis books on this site, and came up with this question.

I'm really wondering about books (maybe teacher's manuals), PDFs, or other resources that have solutions to questions. I'm self-studying, and I do have some good books that explain things fairly well, but I haven't yet been satisfied that I've mastered the material well enough. Thus my want for solutions, besides just having problems without solutions.

For example, this PDF has some solutions, but I'm wondering if I can find more books, etc.

Answer 1

For undergraduate analysis, Rudin's Principles of Mathematical Analysis is the gold standard. At the end of each chapter, there are challenging and interesting problem sets whose solutions may be found here.

Answer 2

Here are two more hints which could be helpful

Problems and Theorems in Analysis I and Problems and Theorems in Analysis II from Pólya and Szegö

This two volume book is a problem based classic (first edition from 1924). It is a highly inspiring source of many interesting problems in different fields of analysis together with detailed solutions.

A modern Analysis book with lots of solved problems is the two volume book

Principles of Real Analysis and Problems in Real Analysis from Aliprantis and Burkinshaw.

They present more than $600$ problems in their Principles and they provide complete solutions to these problems in their Problems book which was sometimes very helpful for me.

Note: To be honest the problem books from Pólya and Szegö are really gold books in the same sense as the wonderful books from Rudin. They belong to the sources which I look through from time to time with great pleasure.