Tagged Questions
0
votes
1answer
76 views
Which topics of real-analysis should be studied if you have already done calculus
Which parts of real-analysis are worth studying if you have already taken several calculus courses? I know that real-analysis is more 'rigurous', but still I wonder whether it is worth to again go ...
1
vote
1answer
113 views
Taking an exam in math analysis course.
So I'm taking my first midterm exam in math analysis soon and I'm confused on how to study for it. I mean in calculus one would be able to just go into the book and take derivatives and integrals ...
3
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1answer
174 views
choosing a real analysis text [closed]
I am trying to decided which real analysis text book I should buy.
I have the following in mind-
1)Walter Rudin's "Principles of Mathematical Analysis"
2)Charles Pugh's "Real Mathematical Analysis"
...
4
votes
2answers
332 views
Mathematical Analysis textbook
So as I have said before in a previous question, I am taking a first course in Mathematical Analysis, and I'm quite excited. I just found out though that unlike the other professors at my university, ...
4
votes
2answers
225 views
Advice about taking mathematical analysis class
I appologize if this isn't the place to ask, if it's not could you let me know and I will take it to meta? Anyway, so I am planning on taking a mathematical analysis course next spring, and I'm really ...
2
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3answers
204 views
Should analysis be studied minus point set topology
I have noticed that certain texts like Terry Tao's Analysis I, Bartle and Sherbert's Real analysis as well as Michael Spivak do not use the language of topology in their exposition.
A text like ...
0
votes
3answers
30 views
Example of no inclusion in set of closures
Let $(X,d)$ be a metric space and $A_j \subseteq X$ for $j = 1,2,...$ . Let $B = \bigcup_{j=1}^\infty A_j$.
Find an example for which $\bigcup_{j=1}^\infty \bar{A_j} \neq \bar{B}$.
Also, in general ...
5
votes
2answers
249 views
Recommendations for real analysis
I have completed two courses in real analysis that covered up to chapter 9 in Rudin's Principle of Mathematical Analysis (and one on complex analysis). So if I am interested in continuing on in ...