thanks Thanks. I did not notice until now that conditions (b) and (c) in the theorem implied that the b's were nonnegative. My last question...
I'm okay with the step you posted; for that proof I was only wondering why the alternative I proposed fails. The step that I am confused about...
yah? If it cannot be done unless all the a's are nonnegative, I am wondering how Rudin made a similar step in the proof of Theorem 3.42 that I...
Theorem 3.50 Theorem 3.50 Runs as follows Suppose (a) \sum\limits_{n=0}^{\infty} a_n=A converges absolutely. (b)...
thanks Thank you for linking me to the latex tutorial. Theorem 3.42 begins as follows: Suppose that (a) the partials sums A_n of \sum...
ah I did assume that perhaps someone here would have it on hand (it is the standard graduate analysis text). The problem then is that I don't know...
A few closely related questions concerning Rudin's handling of absolute values. For the demonstration of theorem 3.42, I don't understand the...
The single most exciting thing mentioned in the book, in my opinion, is Alain Connes approach to quantum gravity using deep ideas in noncommutative...
I've read it. It's more of an attack on string theory than anything. He feels that string theory has been given too much positive attention, so here...
Thanks everyone. The old algebriac "adding and subtracting the same thing" always fools me.
I will probably just draw a picture and look at it for a long time (if I find the patience) to see what the right analytic argument should be.
Unless something has gone on behind the scenes, you have made the easy mistake I spoke of; that is, b is not the period of f(x), a is the period. So...
hello again Hello all. I have returned to these boards with a particularly simple but vexing problem. I came across this problem in spivak, and then...
I've posted a few questions on the real analysis forum there and they were all answered very quickly, some of them by an actual professor (one of the...
If you want a more serious math forum you should look at http://www.mathlinks.ro/Forum/index.php?sid=2af53ba77f8959a7fe0043144d934905
hmm, what book are you working out of?
A nonrigorous but thorough discussion of surface area can in fact be found in Klines book. He gives the formula Surface area = integral :a...b: 2...
It isn't that I consider the material in apostol itself difficult, but rather the incredibly brief way in which he treats most topics (like cramming...
About the driving on the road and considering yourself stationary; wouldn't that lead to some strange complications in explaining how nothing...
I'm attempting to do the exercises that involve proving (interesting) theorems. I don't have the time or desire to do the more mechanical exercises....
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