Recent content by Pseudo Statistic

I used "5 Steps to a 5 AP Physics B & C" and past exam papers (tons of them) to prepare for the physics B test. I got a 5, but I remember being shocked by the multiple choice questions (they seemed to focus more on EM than anything else). A raw score of around 60% is what is required to get a 5...

Haberman's text is OK, though it lacks rigor. Partial Differential Equations by Fritz John is pretty good.

Try Schaum's Outline of Calculus; it starts from the Precalculus stuff and works its way up.

A nice concise book is Introduction to Advanced Complex Calculus by Kenneth S. Miller (though I'm not sure how much of "harmonic functions" would be covered in this book).

Griffiths is definitely suitable for your level; he goes through the PDE stuff you need before he makes use of it. Also, in my opinion, his book is (much) easier (and more fun) to read than Halliday/Resnick/Walker.

Foundations of Mathematical Analysis by Johnsonbaugh and Pfaffenberger is a pretty good book to read while doing a first real analysis course (and nice for an introduction to later stuff, like metric spaces). Our set text was Spivak, which is a good book as well, though it isn't quite as concise...

There are a few threads regarding books for learning quantum mechanics. I'm guessing you're familiar with multivariable calculus, in which case you should find Griffiths' Introduction to Quantum Mechanics pretty readable. Shankar's Principles of Quantum Mechanics is a bit lengthier than...

Griffiths is a pretty good starting point and based on what you just said, you probably already know the first chapter or two. Shankar would be at the top of the list too. Dirac is pretty nice, but it's a bit comprehensive at the start. Now that I've read other books, Dirac's book is...

Seconded. However, you might not enjoy it too much if you aren't mathematically inclined; specifically, you should have knowledge of calculus and some linear algebra (which he goes through). It helps to get a taste of different books, though. You might like Griffiths' style more (I don't think...

There's no general way of finding two functions that satisfy the criteria... You just want to find two functions g and h such that: lim_{x\rightarrow a}g(x)=lim_{x\rightarrow a}h(x) and g(x)\leq f(x) \leq h(x) for all x within ssome neighbourhood of a. Then, the squeeze theorem tells you that...

What's the problem you're having? It would help to take a look at the limits of each "interval" as n goes to infinity, and n=1. Since you're "unioning", you can get a rough idea on how it's going to look and whether one end of the interval becomes open or closed.

Well, you should know that a bounded monotone sequence converges. You've shown it's monotone-- hence, all you have to show is that it's bounded. You can show using induction that it's bounded above by 4. (If you want to see why, note lim_{n\rightarrow\infty} a_n = lim_{n\rightarrow\infty}...

Usually when you solve a problem like this-- i.e. a homogeneous linear system, you're going to end up with the trivial solution (x,y)=(0,0) and a surplus of other solutions with a free parameter. What you usually do is solve one of these equations and use a variable as a parameter. For example...

Just a question about Prugovecki-- this is what the description says: A rigorous, critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. So am I right in...

I think the easiest way to get into programming is to set up a programming environment on your PC (Whether you feel like going all the way by installing Linux or BSD or spending hours on end trying to get MingW or Cygwin working on Windows) and look at simple code examples and experiment with...