
#19
Feb113, 10:53 AM

P: 305





#20
Feb113, 11:26 AM

C. Spirit
Sci Advisor
Thanks
P: 4,915





#21
Feb113, 02:23 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,879





#22
Feb113, 10:05 PM

P: 78

I think your decision should depend on how much you like theory, some people get into really pure math, with no applications, and find it pointless, others like it best. If you really like your applications, I would stick with applied physics, or engineering. Also, you may be surprised by how much 'pure' math you see in theoretical physics. You should research into each field a little more, look at pure math topics and see if any really interest you.




#23
Feb213, 12:22 AM

P: 714

Is music useless? How will I ever know what a symphony means? Should everyone become a professional musician? No, of course not. Should people have strong preferences in music? I know I do. 



#24
Feb213, 10:44 AM

P: 1,036

You can never know anything "beyond doubt", except (perhaps) that you are a thinking consciousness, even "2 is always 2" might be just a dream you're having, or a malicious idea that some demon has placed in your mind. There is really only "best opinion" as defined by the gatekeepers having that opinion (in maths it's maths professors, in physics, physics professors...) If you like maths more than physics then why is that? If you prefer mathematics to physics because it's a more interesting "game" for you, then do mathematics, don't do it because you are worried about "truth standards", because there is no truth... (if you can't see that, and are really bothered by it, then you better study a lot of philosophy... Socrates said we know nothing, and he's right...) Also don't choose on "usefulness", who's to say what's useful? Do what you like...




#25
Feb913, 12:12 PM

P: 91

Solving a thousand 30minute physics problems? No problem. Understanding my post? Legendary difficulty. I'm glad some of you can automatically connect everything together. Its relevant one way or another. 



#26
Feb1113, 03:27 PM

P: 1

People typically want to enjoy what they read so don't be offended. If you want to teach you should major in whatever you want to teach. If you want to learn a lot of applied math go for Physics. If the program is anything like mine you'll learn most of the pure math topics slightly above the level of Boas. Pure math is based on proof, but Physics is all about application. http://books.google.com/books/about/...d=C3NQgAACAAJ 



#27
Feb1213, 12:11 AM

Sci Advisor
HW Helper
P: 9,421

everything has some uses. the answer book for my calculus text was useful as a doorstop.




#28
Feb1213, 06:33 AM

P: 519

For purposes of this thread, I'm going to be the guy that says,
"There's really no such thing as pure math." have fun with that one! 



#29
Feb1213, 09:09 AM

P: 17

I guess your true direction depends on what exactly you plan to do with all of that knowledge once you get it.




#30
Feb1213, 12:43 PM

P: 222

I must confess that in my first proof based math class I had some resistance as to why we were learning it. I wanted applications at first but sometime in the semester I started to change my mindset. I started viewing math as math and nothing more. After I broke into that way of thinking I really began to see what mathematics was trying to do and because of that I ended up taking many, many more pure math courses. In my opinion, the most of beautiful part of math is how much they can generalize things. I don't see how this can be viewed as useless, but I also disagree to even question the practically of math. Someone will find a use for it, as with many other areas of pure math have before.




#31
Feb1213, 06:54 PM

P: 17

OP, I missed a lot of the random responses in here. I think you'd be very well served spending time on youtube and other sites that make online lecture videos available. You should also check out text books....seek out the course titles (as you've started to) and find out what texts they're using , then rent/purchase/download them (open source of course). Many professors put their lecture notes online, which may provide a more concise overview of the content of the course(s).
If you really want to know what else is worth knowing out there...go dig for it. From there, either you'll latch on to something worth exploring/studying further, or you'll be satisfied that you're on the right path. 


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