What preparation is necessary for Rudin's Mathematical Analysis?

In summary, before attempting to read Rudin's Principles of Mathematical Analysis, it is recommended to have knowledge in Axiomatic Set Theory by Suppes, a topology book, and a good understanding of calculus and linear algebra. It may also be helpful to have access to someone knowledgeable in analysis and to have studied proofs. Another recommended book for preparation is Elementary Analysis by Kenneth Ross, which covers single variable topics.
  • #1
stakehoagy
29
0
I was wondering what knowledge is necessary before attempting to read Rudin's Principles of Mathematical Analysis. I heard somewhere that Axiomatic Set Theory by Suppes is a good start. Maybe a topology book. And probably a good understanding of calculus and linear algebra. Anything else come to mind?
 
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  • #2
That sounds like a whole lot of overkill for that book. Perhaps what you've heard refers to Real and Complex Analysis? Even then...
 
  • #3
Calculus. I had linear algebra prior to real analysis, but it wasn't really necessary.
 
  • #4
thanks for the advice. I'm going to get the book from the library soon and get started.
 
  • #5
I'd recommend Munkres' Topology as a good companion text.
 
  • #6
If you aren't used to doing proofs then you might want to find a book on the basics of proofs. "How to Prove It" by Velleman has a good reputation.

If you're studying on your own, access to someone who knows analysis well (e.g. a professor) is great.

Also, MIT uses this book for their real analysis course, and the open courseware has some solutions to the problems (and extra problems).
 
  • #7
try Elementary analysis by Kenneth ross. Its an easier read and it covers only single variable topics, but its good prep for rudin.
 

FAQ: What preparation is necessary for Rudin's Mathematical Analysis?

1. What prior knowledge is needed to study Rudin's Mathematical Analysis?

In order to study Rudin's Mathematical Analysis, it is recommended to have a strong foundation in calculus, linear algebra, and basic mathematical proofs. Familiarity with topics such as limits, derivatives, and integrals is also necessary.

2. Is there a specific textbook or resource recommended for preparation?

There is no specific textbook or resource that is universally recommended for preparation for Rudin's Mathematical Analysis. However, some resources that may be helpful include "Calculus" by Michael Spivak, "Linear Algebra" by David Lay, and "How to Prove It" by Daniel Velleman.

3. Are there any specific mathematical techniques that should be learned before studying Rudin's Mathematical Analysis?

Some helpful techniques to learn before studying Rudin's Mathematical Analysis include mathematical induction, proof by contradiction, and epsilon-delta proofs. It is also important to have a strong understanding of set theory and logic.

4. Can practicing with problem sets or exercises from other textbooks help with preparation?

Yes, practicing with problem sets or exercises from other textbooks can definitely be beneficial for preparation. This can help build familiarity with mathematical concepts and techniques, as well as improve problem-solving skills.

5. How much time should be dedicated to preparation for Rudin's Mathematical Analysis?

The amount of time needed for preparation for Rudin's Mathematical Analysis may vary for each individual. However, it is recommended to allocate a significant amount of time, as this is a rigorous and challenging subject. It is important to pace yourself and allow enough time to fully understand the concepts and practice problem-solving.

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