MHB General questions on Rudin's Baby book

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Walter Rudin's "Principles of Mathematical Analysis," often referred to as "Baby Rudin," is recognized for its challenging problems, leading to discussions about its impact on understanding other mathematical branches. Many believe that mastering this book can facilitate the study of advanced mathematics, as analysis forms a foundational aspect of research mathematics. Some users suggest that while Rudin's book is difficult, it may be more accessible than other texts, such as Maxwell Rosenlicht's analysis book. Positive reviews highlight the clarity of Rudin's explanations, making it a valuable resource. Additionally, recommendations like Koerner's "A Companion to Analysis" are offered for those who find Rudin particularly challenging, indicating a community interest in supplementary materials to aid comprehension.
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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.
 
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IssacNewton said:
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.
 
IssacNewton said:
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.
 
thanks...on some other forum, somebody suggested koerner's "A Companion to Analysis" as a prerequisite if people struggle with baby book... :)
 
To some degree, this thread is inspired by PF user erobz's thread "Why do we spend so much time learning grammar in the public school system?" That's why I made a title to this thread that paralleled the title of erobz's thread. I totally disagree with erobz. I created this thread because the curriculum of grammar at Universities is a totally distinct topic from the topic of the curriculum of grammar in public schools. I have noticed that the English grammar of many ( perhaps most)...

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