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visits member for 2 years, 9 months
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3h
comment Can you recommend a book with techniques for solving hard algebra/arithmetic problems?
It's not so much "techniques" as it is practice. Also, keep an eye out for hard algebra or arithmetical problems on this site (some of which will be in the guise of "how do you prove this well known formula" type questions). Read the answers and try to digest how they work and file the ideas away for future use.
13h
comment Can Number Theory be visualized?
Very very elementary number theory can be visualized very effectively in the way Euclid did. For example, this is one of the best ways to prove that the common multiples of $a$ and $b$ are precisely the multiples of the least common multiple of $a$ and $b$.
18h
awarded  Guru
20h
answered Pattern Recognition - How to solve this problem?
1d
comment Isn't $ n(n-1)(n-2)…(n-m+1) $ a factorial already?
@BrianM.Scott Man, that's what I tried to tell the guy this morning when I forgot to get out of reverse and backed into his Volkswagon...
1d
answered Isn't $ n(n-1)(n-2)…(n-m+1) $ a factorial already?
1d
answered How do I prove that if $p$ is prime then $p$ divides $2^{p}-2$?
1d
answered Why do we need primitive roots?
Jan
27
comment stone weierstrass approximation theorem for simple functions: does it exist?
@zorank I see, so you have a particular algebra (at least hypothetically) and want to check if it can approximate simple functions. In my second paragraph I was addressing the question "is there any algebra which can approximate simple functions", hence why I said that since simple functions are themselves an algebra, the question is trivial. But that doesn't really help in your case.
Jan
27
answered stone weierstrass approximation theorem for simple functions: does it exist?
Jan
27
accepted The series $2+3x+5x^2+7x^3+11x^4+…$
Jan
27
reviewed Reject Studying math all day and really young
Jan
27
reviewed Reject If $|B\times A| = 15$ ,evaluate: $|A\cap B|$
Jan
27
comment Is there a notation for being “a finite subset of”?
@Lehs What structure are you working in in which $\infty<\infty$ ?
Jan
27
answered My proof that there are primitive roots modulo $p^2$
Jan
27
revised the value of $e$ and the method of getting it
edited tags
Jan
26
asked My proof that there are primitive roots modulo $p^2$
Jan
26
comment Pyramid inside a rectangular tank
Please use more descriptive titles - "Need help with math" could describe any question on this site!
Jan
26
revised Pyramid inside a rectangular tank
edited tags; edited title
Jan
25
comment Could someone take a crack at this number theory problem?
I've never heard the term "complete residue system modulo $m$", that's a very convoluted way of saying "the set $\mathbb Z/m\mathbb Z$"... So you want to show that multiplication by $a$ permutes that set, in other words, that it's a bijection.