I think it's a bit early to ask if you can become a physicist. If you like science, then pursue it. You don't come close enough to knowing enough physics/math to know whether or not you would like to major in it much less go to grad school.
Just relax. Work on improving your grades and maybe...
Great book. I think a (HS) student with a deep interest in mathematics would enjoy his informal, yet rigorous exposition to the material. If one already knows proofs, a more advanced book would probably be more appropriate.
What is the description for vector analysis. I would guess PDEs are useful for appplied, but I'm not qualified to say it's true nor what you should take. I'd suggest for someone else's opinion. Ask your professors; they know the most.
If you look at this webpage, you can see some of the Analysis problems. If they interest you, you might want to take it.
https://web.math.princeton.edu/~adeptrep/lowerdiv/215/MAT215
It's great if you can keep up with the classes, but I would think Real Analysis already assumes a good grasp/knowledge with proofs.
EDIT: Oh - it's baby Rudin. It's not that bad then. At Princeton, Baby Rudin is used as a honors math track. It's rigorous, but if you commit to it, you'll do...
You're derivative is right. Are you sure they didn't ask you to evaluate the derivative at some point? I'm guessing that they want you to evaluate it at 0.
That is part of the limit of integration. It doesn't tell us that y is a function of x. y in this case is just like x; it's a dummy variable. Just integrate first with respect to y, then evaluate the inner integral. At this point, the integrand should be in terms of x. Then just integrate...
$$sin(\frac{c}{2})-sin(\frac{c}{2})cos(c)+cos(\frac{c}{2})sin(c)-sin(c)$$
$$sin(\frac{c}{2})-sin(c)+cos(\frac{c}{2})sin(c)-sin(\frac{c}{2})cos(c)$$
You have to realize (from trig addition identity) that ##cos(\frac{c}{2})sin(c)-sin(\frac{c}{2})cos(c) = sin(c-\frac{c}{2}) = sin(\frac{c}{2})##...
What is the difference between these two? They look almost exactly the same in the product description.
https://www.amazon.com/dp/0070049084/?tag=pfamazon01-20
https://www.amazon.com/dp/1107013607/?tag=pfamazon01-20
There's two AP Physics C tests. Mechanics and Electricity and Magnetism. I'm planning to take both.
Is this the right book?
https://www.amazon.com/gp/product/0471105589/?tag=pfamazon01-20
Is Halliday and Resnick good in your opinion?
I'm just talking about my school's physics program. It's all memorization. We're given a bunch of fornulas and told to memorize them. I'd just like to have an actual book(s) that give the reader how the result is derived. Regardless, I will be taking the AP Physics C exam, so I would like to be...
I've always had problems with learning physics. It's not that I don't like it or can't do the calculations, but rather the memorization of thousands of equations that can easily derived. Of course, memorizing the important ones are necessary, so we don't have to constantly rederive them. So, my...
Homework Statement
Find all ##z=a+bi## such that:
|z|=|z^{2}+1|
Homework Equations
The Attempt at a Solution
I expanded the components.
|z|=|z^{2}+1|
z^{2}=a^2-b^2+2abi
\sqrt{a^{2}+b^{2}}=\sqrt{(a^{2}-b^{2}+1)^{2}+(2ab)^{2}}
a^2+b^2=(a^{2}-b^{2}+1)^{2}+(2ab)^{2}...
Author: Apostol
Title: Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra
Amazon Link: https://www.amazon.com/dp/0471000051/?tag=pfamazon01-20
Prerequisities: PreCalculus/Algebra & Trig ; Ideal with a basic knowledge of calculus however, it's fine without it...
Author: Apostol
Title: Calculus Volumes 1 & 2: with an Introduction to Linear Algebra
Amazon Link: https://www.amazon.com/dp/0471000051/?tag=pfamazon01-20
Prerequisities: PreCalculus/Algebra & Trig ; Ideal with a basic knowledge of calculus however, it's fine without it.
Contents: **Integration...
Is there a method to finding the roots of quartics besides Ferrari's formula?
I have the equation
x^{4}+5x^{2}+4x+5=0
I know one of the factor is something like $$x^{2}+x+1$$ and the other one can be found using sythetic division, but how can I find the factors without knowing one of...