I really hate this world we live in only because there are still people who believe in fairy tales. The main point is that ALL of the religions have been created by man. They were all created by men to tell other men how to think. If I had a say in it, all organized religions would be banned.
Taylor series and expansions are really interesting. The fact that you can describe most functions by an infinite series is amazing and an insight to the ingenuity of humans.
Physics major sophomore
Summer:
Numerical Methods and Linear Algebra
History of the Contemporary World
Fall:
Physics II and Lab
Multivariable Calculus
C Family Programming
From the courses you gave I would say:
Abstract Algebra 1
Advanced Complex Analysis 1
Differential Geom.
Classical Field Theory
Quantum Mechanics 1
Statistical Physics 1
--------------------
Abstract Algebra 2
Advanced Complex Analysis 2
Partial Differential Equations
Classical Electrodynamics...
I would say take chemistry or geology but I don't know what courses you have to take. Taking chem before geology would probably be best, but that's just me. As far as being intellectually gifted, if you have the drive and put in enough time and effort, you'll be fine.
wikipedia says:
"The CMBR has a thermal black body spectrum at a temperature of 2.725 K, which peaks at the microwave range frequency of 160.2 GHz, corresponding to a 1.873 mm wavelength. This holds if measured per unit frequency, as in Planck's law. If measured instead per...
x=rcos(a)sin(b)
y=rsin(a)sin(b)
z=rcos(b)
You have to make sure that the first variable in x and y are the same, and that the second in x and y is also used in z. It also depends on which side the angle is on that you are using. My physics teacher said to remember that "cos" is the side that is...
I have read in a couple different places that the math that comes out of string theory has helped a couple of different other branches of physics like quantum computing and condensed matter physics.
Quote from: http://www.ams.org/news/math-in-the-media/11-2011-media
"Maybe string theory is...
I was thinking more on the theoretical side of quantum computers that deals with condensed matter theory and, as you said, the physical realizations of them. I am already taking a Numerical methods and linear algebra course this summer. I was thinking that maybe QFT would help. Does QFT play a...
I am a Physics major/ Math minor and would like to know what sort of undergrad upper-level math classes would be the most useful for Condensed Matter or Materials Science Theory?
Chemistry is definitely used in astrophysics. In the U.S., if someone plans on getting a Bachelors of Science with a focus in astrophysics, they will most likely need to take at least a first year general chemistry course and maybe even a chem. lab, like I did.
from the last part d(v^{2}) = \frac{2GM}{y^{2}}dy, if you take the integral, ∫d(v^{2}) = ∫2\frac{GM}{y^{2}}dy
v^{2} = -\frac{2GM}{y}, set v to c and rearrange y, you get
y=-\frac{2GM}{c^{2}}
or
R_{s}=-\frac{2GM}{c^{2}}, would this be a valid derivation of the Schwarzschild radius?