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EDIT: I'd go with SammyS's

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.

It's a decent exposure for HS calculus. In my opinion, it focuses to much on apply formulas. Then and again, that's high school calculus.

I rated the app for iPhone. I'm happy to say it has a much nicer layout. Just need the TeX.

Good for high school math competitions. Almost all the topics are not covered in a standard high school math course.

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

Baby Rudin - Principles of Mathematical Analysis Big Rudin are the actual 2 analysis ones

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...

Is that a ##f(y)##? Or like ##f(x) = y =~ ...##

(0,-2) http://www.math10.com/en/geometry/vectors-definitions/vectors.html

$$8^{\frac{-2}{3}} = \frac{1}{8^{\frac{2}{3}}}$$

$$\frac{1}{\sqrt{x}} = x^{\frac{-1}{2}}$$

Yes, it is.

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.

Sorry, my misinterpretation/ignorance.

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...

Where does it say ##y = \frac{x}{2}##? I believe in your case, y is independent of x.

$$sin(\frac{c}{2})-sin(\frac{c}{2})cos(c)+cos(\frac{c}{2})sin(c)-sin(c)$$ $$sin(\frac{c}{2})-sin(c)+cos(\frac{c}{2})sin(c)-sin(\frac{c}{2})cos(c)$$ 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})##...

You have the general idea, but your grouping is wrong. $$\frac{dy}{dx} ~=~ y\cdot [px^{p-1}ln(x)+\frac{x^{p}}{p}+\frac{p}{x}]$$

Good.

You almost got it. How did you expand ##ln(p^{x^{p}})## After this, take the derivative. A little late edit.

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

Alright, thanks.

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?

Ok. All of this will also prepare me for the AP exam?

Also, is Grffiths any good for electricity and magnetism?

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...

Pinter is very friendly and a good intro. It's easy, but well-written.

He also used the one above. I remember reading about it and something having to do with his teachers.

Yes, I remember reading it as an intro to calculus awhile back. It definitely helps you with the intuition on some of the ideas.

Spivak would definitely be an overkill if he doesn't want the rigor. Plus he need's the maturity before attempting it.

It's good to have some (rigorous) calculus/LA because it is then where you start to get acquainted with "real math" (proofs).

What do you mean? Are you trying to integrate it?

I fixed then end before, I just forgot to change the middle parts.

Right. Let me just go fix that. Edit. Fixed

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...

Ah, that's what I thought. Thanks!

For the second system, I don't get any solutions. Therefore, that can't be the right system.

Sorry for not having LATEX since I'm on my phone, but I got: System 1: a+b=0 5+1+ab=5 5a+b=4 System 2: a+b=0 -5-1+ab=5 -5a-b=4

I end up getting two systems but one of them has no solution. Did I proceed correctly?

Ah, I believe I've seen this before. The method is nice, but it seems a little lengthy. Thanks for the link :smile:

Ok, thanks!

Oh, I see, but how do we know when the factors are "nice"?

Pfft. :grumpy:

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...