General questions on Rudin's Baby book

[issacnewton]

Hi

I just have some question about the Walter Rudin's Baby book, aka, "Principles of Mathematical Analysis". This is considered very difficult book, especially the problems. So if somebody has solved all the problems from this book, does studying other branches of mathematics become easier for such a person.
Since analysis is considered the starting point of research mathematics, I would assume that this is the case.

 

[Ackbach]

Hi

I just have some question about the Walter Rudin's Baby book, aka, "Principles of Mathematical Analysis". This is considered very difficult book, especially the problems. So if somebody has solved all the problems from this book, does studying other branches of mathematics become easier for such a person.
Since analysis is considered the starting point of research mathematics, I would assume that this is the case.

My recommendation is to go to Amazon's web page for that book, and read the review by Bolzano Bourbaki entitled, Book should be called "Tada! You're a mathematician!", written October 26, 2005. Too bad more math book reviews aren't written like that one. Anyway, I think that review answers your question in quite a vigorous manner.

 

[Dustinsfl]

Hi

I just have some question about the Walter Rudin's Baby book, aka, "Principles of Mathematical Analysis". This is considered very difficult book, especially the problems. So if somebody has solved all the problems from this book, does studying other branches of mathematics become easier for such a person.
Since analysis is considered the starting point of research mathematics, I would assume that this is the case.

I think Rudin's book is easier than Maxwell Rosenlicht Analysis book. In fact, I bought this book just to go through since the other analysis books I have are a lot harder.

If you use some other analysis book, you may come to love this one. The explanations are very nice. Whereas with others, you read trivial when you have no idea what they did.

 

[issacnewton]

thanks...on some other forum, somebody suggested koerner's "A Companion to Analysis" as a prerequisite if people struggle with baby book... :)

 

[LudusRex]

However, it also depends on the individual's ability to apply the concepts learned in Rudin's book to other areas of mathematics. Studying other branches of mathematics requires a broad understanding of various concepts and techniques, not just a mastery of one particular book. So while solving all the problems in Rudin's book may give a strong foundation in analysis, it is not a guarantee that studying other branches of mathematics will become easier. It is important for individuals to continuously challenge themselves and explore new concepts in order to become well-rounded mathematicians.