Press, Teukolsky, Vetterling, Flannery - Numerical Recipes, 3rd ed
More on the applied side, but I'd say a bible, nonetheless. There are tons of versions out there depending on what language was in vogue, but I'd say the current 3rd ed is pretty bible-y.
Horowitz, Hill - The Art of Electronics...
I'm in the process of doing a quantum physics lab and am having a bit of trouble with uncertainty. The specific things going on in the lab aren't relevant, I don't think, only the general procedure of my calculation. Also, I'm not certain where this question should be asked, so I decided to put...
Yes- I'm sorry. S is a subset of the real numbers.
I suppose that might be true, but I can't think of a counterexample involving non-interval sets nor have I found a way to disprove the implication for non-interval sets. It seems to be true for at least some non-interval sets. For example...
I've used the following implication (conditional...whatever you want to call it) in a few proofs and was wondering if it's actually is true. I incorporated it into my proofs because it seemed to make obvious sense, but I'm not sure if I'm overlooking something- obvious or subtle.
T \subseteq S...
Ahh, I see. Thanks a lot for the help! I'm sorry my reply is so belated.
I suppose I meant "direct add" when I said "kernel(A) + image(B)" but my weak command of mathematics at the moment prevented me from knowing any other type of "addition"- so I'm sorry for not specifying.
I never...
Homework Statement
Suppose that A is an 8x11 matrix whose kernel is of dimension 5, and B is an 11x9 matrix whose image is of dimension 7. If the subspace kernel(A) + image(B) has dimension 10, what is the rank of AB?
Homework Equations
Rank Nullity Theorem: For an n x m matrix A...
Wooooow, hold on, I understand what I did wrong...
The derivative of \log{(1+t)} is NOT \frac{1}{1+t} but rather \frac{1}{(1+t)\ln{10}}
Sorry for wasting the time of those who've read this.
This is a pretty basic limit question regarding the limit,
\lim_{x \rightarrow \infty} (1+\frac{1}{x})^x = e
Wolframalpha gives the following reasoning for this answer:
\lim_{x \rightarrow \infty} (1+\frac{1}{x})^x = e^{\lim_{x \rightarrow \infty} x\ln{(1+\frac{1}{x})}} =...
Homework Statement
The problem was to find the volume enclosed by a sphere of radius "a" centered on the origin by crafting a triple integral and solving for it using cylindrical coordinates.
Homework Equations
x^{2}+y^{2}+z^{2}=a^{2} : Equation for a sphere of radius "a" centered on...
Hah, Yea I love these videos as well. I watched them when I was finished with Calc I but they're a pretty sweet overview of the fundamentals of Calculus. My friends who are taking AP Calc AB love them :D.
Galilean Electrodynamics?!?
I finished reading The History of Pi by Petr Beckman, thoroughly enjoyed it and wondered what other works/activities the author was involved with. Soo I eventually came across this thing called "Galilean Electrodynamics" (which Beckman apparently had a hand in...