Math

Alternative to Spanier
I was going to buy Spanier's Algebraic Topology to learn some... um... algebraic topology. Unfortunately the paperback costs forty four quid from Amazon(*) so I'm wondering if there is something similar that is more reasonably priced. (* How I hate them: is there any e-commerce web site that is more cluttered a... 7 May 2010 11:09

Fibonacci numbers The finger print of atheism
http://www.youtube.com/watch?v=e9MwNm0gXd8 ... 10 May 2010 00:09

A sum
Given the real sequence x_n = 1 if n = 3, 3^2, 3^3,... and x_n = 0 otherwise what is the asymptotics for sum(x_k, k=1..n)? At least can be affirmed sum(x_k, k=1..n) = O(log n), n -> oo? (Big O) Regards, Andreas U. Kelmer ... 5 May 2010 11:32

Lemma. (1)
(i) Let a be an even number (a >= 16, a - 3 and a/2 composite). Consider any Goldbach Conjecture function associated to a: G : [ 4^, (a / 2)^ ] -> IR with coefficients b_ 2, b_ 3, ... , b_{a / 2}, ... , b_{a - 5} and denote m = b_2^2 / b_{a / 2}^2. Then, 1 < m < (a - 4 ) / 4 => G ( 4^ ) > 0 and G ( (a / 2... 6 May 2010 06:22

Parallels
What's the definition of parallel lines in Euclidean three space? Two coplanar lines that don't intersect? In Euclidean three space, let the line j be parallel to the line k and k parallel to the line l. Prove j is parallel to l. ... 6 May 2010 13:05

Limit of a summation
What is the limit of this summation when k-->infinity. Here 'a' is a scalar k-1 p(a)=a sum (1-a)^(k-j-1) j=0 if mag(1-a)<1 Thanks Hardy. ... 5 May 2010 07:08

Chapt 3, tried the experiment with blue tinted fiberglass sheet; Quasars support a Refraction redshift, not a Doppler redshift #59; ATOM TOTALITY
Tonight I repeated the experiment with a corrugated blue tinted fiberglass sheet. This is the type of sheet one uses for patio roofing or shed roofing that lets in the light. It is translucent and opaque. So on the bright white street lights there was no shifting involved but I could see some violet color. ... 5 May 2010 01:43

Inequality satisfied by solution
y'=SQRT(1+x2+y2) y(0)=0 Assuming there exists a local and unique solution defined on (-d,d), prove that the solution y is defined for all x in R and that y(x) >= sinh(x) for all x >=0. Any hint? ... 6 May 2010 09:39

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
http://www.JAMES-RANDI.com ... 4 May 2010 19:06

m is a factor of C(mn, n)?
Is it true that m divides the binomial coefficient C(mn, n)? I couldn't find a counterexample, neither could I prove it. Any help? ... 4 May 2010 21:18