Recent content by flebbyman

I have Elementary Real and Complex Analysis by Shilov, I read through it, without doing any problems, and I found that it was fairly easy to understand, and I was expecting some good old analysis, filled with stuff like differential forms, but it turned out to be nothing more than a little...

Your book is incorrect

It means rearrange it to become y=something

The reflection matrix when reflecting over a line, making angle x with x-axis is: // cos(2x) -sin(2x) // // sin(2x) cos(2x) // Thats why the "angle size" doubles

Nice one carbz

You got \int\frac{x}{(x+2)^2}dx use the substitution u=x+2, so x=u-2 and dx=du and take it from there

Oh right, my bad, I was quite tired. I agree though, it's a strange question

Use a substitution and integration by parts: u=lnx , du=\frac{dx}{x} applying integration by parts: \int_0^\infty f(x+\frac{1}{x})u du = \frac{u^2}{2}f(x+\frac{1}{x})\big]_0^\infty -\int_0^\infty \frac{u^2}{2} \frac{d}{dx}(f(x+\frac{1}{x}))dx =\frac{u^2}{2}f(x+\frac{1}{x})\big]_0^\infty...

I would say that it follows from the linearity of differentiation

It has no elementary anti derivative so it can't be evaluated in a closed form, but you can only get a pretty good approximation, as you have done

If you want a different outlook, then I say print Strang, it's always good to get multiple perspectives.

Hey, here you go: http://en.wikipedia.org/wiki/Summation#Identities

I started with Strang and then got Stewart. Strang is good for the basics but Stewart is like double the length, I found Stewart to be a great supplementation, but it is expensive.

Rewrite it as y'-y=x and read this: http://en.wikipedia.org/wiki/Integrating_factor

I learned a lot from: http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm