Thank you both very much for your thorough and long responses. They helped me really help to narrow down what was important in the choice I am making. As it looks right now, I think I'm going to finish out the PhD. In the scope of it, it isn't very much longer. I'm not sure if it is the wisest...
I'm finding myself in a precarious career position. I'm working on a PhD in New Zealand in a very particular and odd foundations of mathematics theory. This theory is not widely regarded as being of much use and I was hoping to discover that it could actually be very useful. However, after a...
Ah thank you very much for your suggestions jasonRF.
The first book sounds pretty interesting. I will have to see if I can get my hands on it.
I will check out the linear algebra texts you recommended as well.
Many thanks!
Glad to hear it. I wish you the best of luck.
If you ever desire online resources, like lectures and stuff there is a lot of stuff in the Learning Materials forum, and I have a huge list of my own.
You may find this website quite helpful
http://www.openproblems.net/
In particular the links it provides to,
http://superstringtheory.com/math/math2.html
http://math.ucr.edu/home/baez/books.html
EDIT:
This website may be even better for your needs, another link on that website...
It seems probable that your forgetting a rule that happens when you take square roots of a value. (I do it all the time. Drives me nuts, so if this is your error I understand your pain.)
As just a random example, If x2 = 9, how many different values get you to the 9?
Take the following with a grain of salt, and perhaps ignore it as I don't have much experience with formalized dealings with series. But I have an intuitive suggestion that may lead to the proof. (Or it could be just down right wrong.)
If \Sigma b_{n} converges, I think that implies b_{n}...
For 2, consider values of P above your value of 4200. What can you say about the sign of the derivative? Considering what it means in physical terms for P > 4200 may help you to understand what is going on.
(Traditionally you don't need to worry about population less than zero, but if the...
I don't quite understand what you are asking. Are you saying you have an interval
[A, B]
and you want to fill in the graph between these x values?
I don't see how your saying a Runge Kutta method would go "anywhere"? It has to follow the differential equations you have.
EDIT:
If I remember...
One thing I learned, and am still learning is you will only feel discouraged if you compared what your doing to the previous "greats". For me, the important thing is to do math because I like learning math.
Actually, I fell into loving math only recently, two years ago the senior year of high...
I don't know how much help I can be on suggesting minors. Though I would think it would depend on what you mean by "interesting and rewarding".
I would suspect having something Business as a minor would make you more marketable on the job market. (Computer Science would do that as well I...
It sounds like your interest is in physics. Then do physics. If it turns out you don't like math, then that will make the subject that much harder to learn. If you care about a class, and the material it is of course "easier".
You may have a rude awakening. The first semester may kick your...
School is hard. I understand the difficulty can be discouraging but you either have to face it or move on. Also, if I may be even more cliche, life is hard.
It sounds like your grades are good but that you need to make a certain mental transition if you want to be happy for the rest of your...