Posting for my son (who does not have an account here):
He's a sophomore math major in college and is looking for a good book on Lie algebra and Lie Groups that he can study over the summer. He wants mathematical rigor, but he is thinking of grad school in theoretical physics, so he also wants...
I used the Piskunov volumes in my undergrad math curriculum at the Indian Institute of Technology (IIT) in the early 80s. Good books with lots of problems, but a bit dry. I still have my copies on my bookshelf.
What everyone is trying to tell you is that as long as the stuff in red is true, and you try to eliminate the stuff in blue in your next course, you'll be fine.
He did say that he was just starting off, which is why I think that Spivak or Apostol would be too much. I really like the Silvanus Thompson book. I picked up a copy myself yesterday and it is really quite brilliantly written. It is an excellent introduction to the concepts.
Are you in the United States? If so, have you considered opening a Mu Alpha Theta chapter? I think my son did it in his school a few years ago (he is a senior now and about to go to college).
You can get details here:
http://www.mualphatheta.org/index.php?chapters/how-to-join
The...
I have not had personal experience with reading it, but a lot of people whose opinion I respect have suggested "Calculus Made Easy" by Silvanus Thompson. I flipped through it at the bookstore and it does seem like a nice introduction to the subject, emphasizing the concepts rather than the...
Apostol's calculus books are fantastic for a first course on analysis, i.e. for a SECOND phase on calculus in the standard pedagogical sequence for most people who want to study mathematics formally. They are too dense to be useful for a first course on single or multi-variable calculus.
Not sure I understand. If you are majoring in Physics, how can you minor in Physics as well? If you choose to minor in Physics, what would you switch your major to?
If you are not from UK/canada/Aus/NZ, you will almost surely be required to take the TOEFL. Indians have to (at least we had to when I graduated in the mid 80s), and most Indians here have excellent English.
He probably needs to take the TOEFL anyway to attend UCSB since he is from Mauritius, so I would suspect that wouldn't be an additional barrier if he chose to attend UPMC.
LRC circuit analysis and study of signals and systems is the bedrock of EE. When you say you don't have any circuits classes, that's a red flag. Your control theory class will build on the transform techniques you learn in those introductory classes. IMO, that's a major gap in your knowledge...
I agree on 3, 5, 7. Also, look into learning Fourier and Laplace transforms inside out, so find out what course (if any) covers those topics. Usually, an introductory control theory or communications theory class will cover enough, but transforms are crucial to studying signals and systems and...
Sure. Kreyszig is a decent start. It will do fo what you are trying to do. You can pick one up for less than Rs. 500. Eswar.com has it.
http://www.eswar.com/book.htm?bookcode=0059283
Also, get Div, Grad, Curl and All that..
Not sure if it is available in India - perhaps you could check...
^ That's a great book. I got it for my son and he really liked it as he was taking his multivariable calculus class. I wish I had that book when I was going through my freshman year! :smile:
I run an R&D department at an electronics company. We are located in the US and we hire almost exclusively from the US. Even for foreign citizens, it is easier to get them going with work permits when they are physically in the country. If you want to end up being working in the US, then IMO...
My son used Multivariable Calculus by Larson and Edwards (10th Edition) for his Multivariable calculus class that he took from JHU as a junior in high school. I flipped through it and found it to be pretty good as an applied calculus text. He liked it and by the time he was done with the course...
Kreyszig is a good choice, I think. At least it was for me when I did my B.S. in the 80s in EE. We did have Apostol as a reference in our freshman calculus class, but it's going to be too formal and proofy and really meant for math majors and not suited for what you want. Same for Spivak.
No.
EE and CS would be a good combo. You will learn all the math you need as you go along. For example, a EE major will cover Fourier and Laplace transforms, etc, and a CS degree will cover some amount of automata theory, discrete math, etc.
You can always supplement this with specific math...
Before you jump back into physics, spend a couple of months coming back up to speed on single variable and multivariable calculus. There's nothing worse than getting back into physics and wondering how exactly you integrated by parts, or computed a line or surface integral. And you'll need all...
Mechanical engineering. Try to work on projects that involve robotics, autonomous vehicles, etc. And in case you aren't (I can't tell from your message), get your US citizenship. Many of these positions are likely to require it.
A slight tangent - OP, I hope you don't mind. If you do, let me know and I'll take this to private message.
Analogdesign, one of my 2018 goals is to become proficient with MATLAB. I've never had a need to use it so far in my professional career. I am reasonably familiar with Python though (my...
This is a life-changing decision. Nobody can answer this for you. You say you are just starting a family. Have you discussed this with your partner? Let's say you are making $100K right now. Can you imagine living on a half or a third of that income? Does your partner work? Is he/she capable...
In my personal opinion, having been an R&D engineer, working in a semiconductor fab for 28 years, and leading large engineering groups since 1995, you've got to be extraordinarily lucky to be able to work on a PhD while working full time. A master's degree can be done while working because it is...