Recent content by Figaro

I have a masters degree in physics and I want to apply for a PhD position especially in Germany. What are the necessary steps that I should take and how can I apply for a scholarship? I have looked online but some information are a bit confusing and lacking so I hope someone could layout a rough...

Well, I think I'm more in the middle of the first and second choice. I want to work most of the time with pen and paper but a LITTLE BIT of computational side wouldn't bother me so much, what I'm not really into is using computers to simulate or do calculations the whole time. As for...

I have finished my masters degree in cosmology and my research was on inflation, despite it being interesting, I'm not really fond of doing simulations/computations using a computer for a very long time. Don't get me wrong, I know that every physicists should know at least some computational...

Is this book enough to cover a high school geometry course? Despite the name, I think I should confirm if this would count as enough. However, as with other Lang's book, I'm pretty sure this would be a good one.

Books on multivariable calculus that I often see get good recommendations are, Vector Calculus, Linear Algebra, and Differential Forms by Hubbard and Hubbard Vector Calculus by Colley What are other good books with some material on differential forms like Hubbard and Colley? Books by Edwards...

What other books like Moise's do you know i.e. in between "spivakish" and "stewartish" but still a little bit on the side of Spivak? I tried to glance at the pdf version and it looks a lot better than the standard "thick" books these days. His book is hard to find and old (although it doesn't...

I still can't find the solution to my given equation, can you kindly give me a hint/note onto where I should look?

I have this integral that when solved, involves squares and natural logs, where ##A\,##,##\,b\,##, and ##\,x_e\,## are constants while ##x## is a variable. ##A = \int_{x_e}^{x} \frac{x^2 - b^2}{x} dx = \int_{x_e}^{x} x \, dx -b^2 \int_{x_e}^{x} \frac{dx}{x} = \frac{x^2}{2} - \frac{x_e^2}{2} -...

Are you pertaining to the small angle approximation? I know that is a possibility but the problem is that ##\theta = \frac{y[t]}{f} \approx 1##.

I have this second order differential equation but I'm stumped as to how to solve this since the zeroth order term has a Sine function in it and the variable is embedded. ##\ddot y(t) + 3H (1+Q) \dot y(t) -m^2 f \sin(\frac{y(t)}{f}) = 0## ##H~##, ##~Q~##, ##~m~##, and ##~f~## are just...

Thanks .Scott for your quick and helpful reply!

I want to plot a function f(x) such that it's domain is from 1 to 10000 but I want the graph to read 1, 10, 100, 1000, 10000 in the x-axis, while the y-axis is normal. ##f(x) = 2\sin^{-1} ( e^{-\frac{60}{x}})##

So the book by Carrier, Krook and Pearson is not suitable for an introduction, how about books by Gamelin? Bak and Newman? Any opinion? I've seen those two books being mentioned a lot, aside from Ahlfors, Stein and Shakarchi, etc which I think are geared towards hardcore pure mathematicians.

So we can't define an "end" of inflation globally? Only to some specific patches that stopped inflating? Say, after 60~70 e-folds. Basically, my question is that can we use the epsilon = 1 as a definition of the end of inflation globally, but as you've said it is constrained only locally. I want...

So how does this condition justify say, eternal inflation? That inflation is always going on somewhere in the initial inflationary patch?