I'm also an undergrad, but I'm currently working on my upper-division courses. So, I'd love to help out, but I don't think I'd really count as one of your four necessary members.

>>257
That's perfectly fine, if I don't end up finding enough people that are currently at my level I'd still be more than happy to have the bi-weekly discussions with anybody who's interested. If you don't mind me asking, which math classes are you taking right now?

I'm on the fourth year of my math degree so I'd love to help out if you get this off the ground

>>258

Of course not. I'm taking stab theory, real analysis, and abstract algebra right now. Next semester I'm on for more abstract algebra/analysis as well as PDE's.

>>261
>>260
Wow, to somebody like myself that's extremely impressive. You seem to be leaps and bounds ahead of where I'm at, but I'm more than thankful that both of you are willing to help somebody so far behind pursue an interest in maths. I was curious as to whether either of you would mind starting a discussion sometime within the next week? It would only be the three of us if we did, (unless we're able to find others by that time) but I would still love to hear the insight either of you would have to offer. For the most part, my questions would be concerned with basic concepts of calculus. Hopefully that won't be too boring for either of you, but I'd sincerely appreciate the help if you're willing to offer any.

>>262

Yeah, it's no trouble. But I'm American, so I'll be sort of busy with the holidays for most of this week/end.

>>262
I'm not that great at calc compared to lin/abstract algebra.
But yeah sounds good to me.

>>266
>>265
Excellent, I'm also going to be busy with the holiday weekend so I was wondering if you would both be able to hold a discussion this Monday (November 26th) at 930pm Mountain Time? If either of your schedules conflict with this, I'd be more than happy to readjust when the discussion is held. Would Skype work for everybody? Or would you prefer to use some other chat program/website?

>>267

I don't have any specific alternatives, but it'd probably be good to go somewhere we can write collaboratively. And, yes, that time works for me.

>>267
sounds good to me.

Skype me at spotlessapple
see you tonight

>>270
>>269 here
hey I'm really sorry to be a douche but ts midnight here and i still have homework to do so I can't make it, sorry guy.
I'm always on here so if you post questions here I'll try to answer them tomorrow.

>>271
Not a problem at all. Today I wanted to discuss a few different topics. Proving e to be irrational, indefinite integration concerning the reverse chain rule, and philosophy behind higher dimensional maths. Links will be posted below; it'd be excellent if we could plan another day to discuss these topics. Thanks again for the help everybody, hopefully we can get a discussion started in the near future.

http://www.youtube.com/watch?v=cEv20GFRlmc

http://www.khanacademy.org/math/calculus/integral-calculus/v/indefinite-integration--part-iv

http://scienceray.com/mathematics/a-collection-of-thoughts-and-questions-concerning-higher-dimensional-mathematics/

Video by Conrad Wolfram concerning mathematics education. Is anybody here more partial to performing computation by pen and paper for classroom assignments, or using programs like Excel and Wolfram-Alpha regardless of whether or not professors prefer mental computation? Preparing for real-world mathematics seems to make more sense than brute computation (as mentioned in the video), yet I haven't had a single professor that allows computers/programs to solve equations for us in the classroom. Would I be wasting my time crunching numbers if I already understand the process? Is this a valid enough reason to use these technologies even though it's frowned upon by most professors in the field?

http://www.ted.com/talks/conrad_wolfram_teaching_kids_real_math_with_computers.html

>>274
You shouldn't worry about it. Yeah, professors push pen and paper so that student understand what they're doing. Once you have that understanding it's expected that you'll use a computer. But most homework in upper classes is just writing proofs so it doesn't really come up.
On a side note, there is proof writing software but its not very good so far and according to some it never will be, which I kind of agree with.

>>272
>http://scienceray.com/mathematics/a-collection-of-thoughts-and-questions-concerning-higher-dimensional-mathematics/
That's completely wrong, infinity is understood by mathematicians:
http://en.wikipedia.org/wiki/Cardinal_number
http://en.wikipedia.org/wiki/Proper_class
As to whether living in more dimensions gives you more reasoning power, I doubt it. It really comes down to the physics rather than the number of dimensions. i.e. classical computers vs quantum computers.

By the way, if you want to look into these things it's super important to know set theory so you should look into that. There's probably good guides online and there are tons of books on it so it shouldn't be hard to find.
It's very user friendly so it's not too hard.

>>276
I guess what I was trying to get at was how infinity was misunderstood in the same way that the continuum hypothesis still remains unsolved. Sorry for not being able to communicate that more clearly, and I'll definitely study more set theory and maths that use infinity before asking questions like the ones in my article or making arrogant assumptions.

I was unaware that writing proofs was something so common in higher level math courses, but I'm hoping to eventually get a degree in applied mathematics. Are the courses that require you to create proofs meant for pure math majors, or am I still going to run into that frequently for applied maths?

>>277
Oh sorry man, I didn't realize you had written it.
Basically, the continuum hypothesis isn't unsolved, it's independent of the standard axioms of math (called ZFC). So you can assume the continuum hypothesis or assume that it's false, and you wont reach a contradiction, provided ZFC doesn't already have an internal contradiction.

And I have no idea. I don't think its as common for applied math but you definitely will run into it at some point. It just depends on which "pure" courses are required.

>>278
Not a problem, I actually thoroughly appreciate the honesty in the criticism, I'd much rather be told I'm wrong than continue believing something that's known to be untrue.

Found a few more links that will hopefully be of use to some of you, enjoy. Comments, questions, and criticisms are always welcomed and appreciated :]

(How to become a pure mathematician/statistician)
http://www.stumbleupon.com/su/1xdzYO/:1sc2GuN3j:IuFZXYP7/hbpms.blogspot.mx/

This link below is closely related to the field of "predictive analytics". I have a friend who's an engineer at Sandia Labs up in Albuquerque, NM; he's been studying this in his free time because he's been calling it "the future goldmine of statistics". Apparently jobs for these positions are going to be in very high demand in the next 10 years, and currently only 2 colleges have degree programs for the field. Salaries (from what he's told me) range around a comfortable 80-100k per year. Below are some of the maths that are to be used for this field.

http://www.stumbleupon.com/su/1xdzYO/:1sc2GuN3j:IuFZXYP7/hbpms.blogspot.mx/

And lastly a LaTeX tutorial video library I found on YouTube based off of popularity and positive feedback

http://www.youtube.com/watch?v=SoDv0qhyysQ

>>278

Seconding this. If you're planning to go onto grad school in applied, you're still going to have to take a bunch of undergrad (some grad) courses in pure math. So, proofs won't be a big part of your professional life, but you're going to need to get a handle on it anyhow.

@centerofmath
@AnalasystFact
@AlgebraFact
@mathematicsprof
@MathDaily

All excellent twitter feeds for daily mathematics news, philosophy, and problem solving

>>283
don't forget TopologyFact!

Wondering if there were any useful applications for calculus in the stock market, investor Jim Cramer's said that 4th grade math is all you need to become a successful investor, but I'm a little skeptical. Resources would be nice if anybody has them. Thanks in advance!