Recent content by megatyler30

I'm currently a freshman a MIT. I was planning to do a Chemistry and Physics double major but after looking at the requirements for a Chemistry minor, it wouldn't take any additional classes to do a Physics and Math double major with a minor in Chemistry. The reason this is appealing to me is...

Well that's pretty interesting since no integer solutions would imply that x^y+y^x+1 will never be a perfect square. Thank you. Edit: Found m=1 and n=2 is a solution. I wonder if that's the only integer solution.

2m is an exponent. I fixed it.

Hi, thanks for taking the time to read. To gain insight into n^m+n^m+1 and when it's prime, I looked at one case where it would be composite. I equated it to (a+1)^2 and then substituted out to get 4m^n=n^{2m} Using mathematica, I was unable to get a solution. So here's my question: are there...

Another suggestion would be to tackle an intro to proof book first. I'll leave it to micromass to pick suggestions; I was forced to pick it up in number theory.

I've started using LaTeX to take notes on Donald Fitts' Nonequilibrium Thermodynamics. After I finish, I intend to use other resources to add more to it. Fitts' book focuses on classical fluid nonequilibrium thermodynamics (i.e. doesn't use statistical mechanics but instead uses continuum...

Do you think writing notes in LaTeX would be a good method of learning (the subject and to better be able to use LaTeX)? In my case, it'll be for (classical) Nonequilibrium Thermodynamics (classical as in it focuses on continuum methods and using few results from quantum) using the book...

If you want problems with solutions, you may want to check out Rosen's Elementary Number Theory since there are solutions to the problems.

What level of calculus do you know? Do you know any multivariable and/or vector calculus? "An Introduction to Mechanics" by Kleppner and Kolenkow as well as "Electicity and Magnetism" by Purcell and Morin are very good but they are most likely above your mathematical preperation. Let me know of...

They are at a similar level, maybe slightly stepped up, but that's about it. A.P French would still probably be a good resource regardless since it's known to be his best work and can fill in any holes in your understand. Note though, it's the first physics class at MIT that is only required by...

No problem and the Feynman's lectures are books. And Vibrations and Wave is the 3rd physics class physics majors take. Give Vibrations and Waves by A.P. French a look to see the level.

Yeah, I figured it out when explaining it to the other posters. I did want some confirmation though, so thanks for the confirmation!

From my experience, Naive Set Theory, Principles of Analysis Rudin (defintely this is the one to do first and even then it might be too difficult), and Linear Algebra Strang are all good. These are only the ones I've had experience with. I'd say limit it to those intially and if Rudin is too...

Okay let me clarify. I'm defining a function f(x) such that f(x)=∫0xsin(sinx)dx. This is no different than saying f(x)=∫0xsin(sin(t))dt since the variable in the function that the integral is being taken of is basically just a dummy variable, so t would be more clear. For example...

I am asking about the relationship between the two. The edit was from what I've seen from posts on here but I don't know if that's the relationship (may be incorrect or I may have interpreted the posts incorrectly). Edit: Looked one of the posts over again. In this case: f(x)=g(x)-g(0) So...