mad mathematician's latest activity

Circulant matrices also appear in the subject of Communication Systems. It's cool seeing all these connections between theoretical...

Thanks that cleared my perplexion.

Of course they are not. That's how you can get the factors right. Hint: use ##~e^{\ln{x}}=x~## in the equation in #7.

There should be a difference between ##r## and ##r^*##, they aren't the same.

good catch, I'll change it. you are right.

OK, here are my calculations. Let me know where did I get it wrong. So we have the following: ##d\bar{u}=e^{-u/4M}du## and...

I am reading the book by Birrell and Davies on QFT on curved spacetime. On page 40 they write the following metric: and on the...

Stokes parameters? Just trying my luck. (I was quite astonished to find there's a transformation between Airy's and Bessel's odes).

I once tried to participate in a math students' olympiad but failed misreably. A few years ago I heard of Engineering students' type of...

The same old natural philosophy problem of absolute space and time. Can't we regard SR and GR's spacetime as that "background"? Anyway...

I reckon you didn't read Peskin and Schroeder nor Srednicki's QFT books, now did you? Monstrous books.... :olduhh:

Simple, not simpler... :oldbiggrin: If it's simple, then it must be simpler than something else, doesn't it?! :-D

Same here, I mean in my undergraduate years. Someone back then recommended Kleppner's and Kolenkow's textbook. Tough exercises, I am not...

Classical Mechanics by Kleppner and Kolenkow was one of the first physics books I studied. It was very much my style of book. I spent...

Well when its biggest advocates wins the Fields medal (a prize in maths), and had to encourage someone to invent a prize (almost...