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Academic Guidance Academic Guidance - Academic guidance for those pursuing a college degree... what college? Grad school? PhD help?


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April 13th, 2012, 03:20 PM   #1
lpp
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learning math outside a university

Hi everyone!
What are your opinion: can one study maths succesfully without getting into a university/college?
My other concern is if people without university degrees can get jobs in related fields?

I apologize for my bad English.
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April 14th, 2012, 08:39 PM   #2
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Re: learning math outside a university

Yes, you can study math without going to university. MIT OpenCourseWare, the OEIS, Kahn Academy, and other resources make this much easier than it was (say) 15 years ago.

I'm not sure what to say about jobs. There's no math job you could get without going to college -- in fact, most math jobs aren't available unless you have at least a Master's degree. But you can find related jobs like programming that don't require a degree, sure.
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April 20th, 2012, 12:13 PM   #3
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Re: learning math outside a university

Quote:
Originally Posted by Ipp
What are your opinion: can one study maths succesfully without getting into a university/college?
I think yes. I am 12 years old but i'v already learned various branches of mathmatics including basic number theory.

(after hearing that, i dont think that anyone is gonna help me! )
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April 20th, 2012, 11:06 PM   #4
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Re: learning math outside a university

Quote:
Originally Posted by mathbalarka
...I am 12 years old but i'v already learned various branches of mathmatics including basic number theory.

(after hearing that, i dont think that anyone is gonna help me! )
On the contrary, I can't speak for everyone, but I am very impressed that someone of your age has such an interest in mathematics.

I really doubt anyone here is going to want to stifle your curiosity.
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April 21st, 2012, 01:09 AM   #5
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Re: learning math outside a university

Oh, what a relif! Most people in my country (exeption, father, mother, sisters etc) think that i hv to be more systematic, they want to supress my interest. So, if anyone helps me
i will be very very greateful to him. And I apologize for calling you Mark, you are as old as my father, sorry for that. Without any guide, i dont think i can keep it up. Thanks again.
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April 21st, 2012, 08:44 AM   #6
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Re: learning math outside a university

I'm old enough to be your grandfather if I had had a child at 18 and that child had a child at 18!

I'm not old fashioned, my name is Mark and you may call me by my name regardless of your age.

In this country we are happy when a child does something (legal) other than play video games.

Seriously though, I think academic interests should be encouraged and cultivated among the youth. I can think of few things more systematic than mathematics.
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April 22nd, 2012, 08:15 AM   #7
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Re: learning math outside a university

Quote:
Originally Posted by mathbalarka

I am 12 years old but i'v already learned various branches of mathmatics including basic number theory.
Do you mind giving me a list of books you read? I would appreciate it.
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April 22nd, 2012, 08:35 AM   #8
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Re: learning math outside a university

Quote:
Originally Posted by MarkFL

On the contrary, I can't speak for everyone, but I am very impressed that someone of your age has such an interest in mathematics.
I am dazzled. This is how I discovered that I am not good enough to be going into math for a career. I won't go to college for math because I don't want to be an average. It won't hurt to learn more math.
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April 23rd, 2012, 12:37 AM   #9
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Re: learning math outside a university

Here is a list of my books:
Algebra - Artin
Differential and integral calculus - R. Courant
Emperor's new mind - R. Penrose
Mathmatical analysis - Tom. M. Apostol
Introduction to topology and mordern analysis - G. F Simmons
Complex variables - Lipschutz
Higher algebra - H.S Hall
Discrete Math - Lipson
Differential equation and the calculus of variations - E. Elsgots
Mathematics can be fun - Ya. Perelman
A school geometry - Hall & Stevens
Linear Algebra - V. A Ilyin & E. G Pozniak
Elements of co ordinate geometry - S. L Loney
Plane Trigonometry I, II - S. L Loney
Posts machine - V. A Uspensky
Elements of Partial Differential Equation - I. N Sneddon
Higher algebra - Bernald & Child
These books are my elementary rescources. I dont think I can give you my whole list, so here are some of the favourite books of mine :
Galois theory - A. Cox
Solving The Quintic By Iteration - P. Doyle & C. McMullen
On the system of linear diophantine equation - Felix Lazebnik
Abels Proof - Peter Pesic
Basic Algebra - Nathan Jacobson
The proof of fermats last theorem - Nigel Boston
Abstract algebra, Theory and application - T. W Judson
Abel and the insolvability of the quintic - Jim Brown
A topologycal proof of abel - ruffini theorem - H. Zoladek Z
How to solve a diophantine equation : a number theoretic approach - R. J Strocker
An introduction to diophantine equations - Titu Andreescu & Dori Andrica
Calculus (vol I, II) - Tom M Apostol
Complexity issues on newtons sums of polynomial - A. Bostan
About diophantine equations, an analytic approach - K. M Boubaker
Beyond the quartic equation - R. B King
Class field theory - J. S Milne
Cliffords geometrical algebra - A. J Wilson
Consise encyclopedia of mathematics - E. W Weisstein
A primer on the dickson invariants - C. Wilkerson
Differential galois theory - Moshe Kamensky
Diophantine equation and riemann hypothesis - A. P Peretti
Diophantine equation and integral points on elliptic curves - J. Reynolds
Introduction to diophantine equations - T. Davis
Resultant and Discriminant of polynomials - S. Janson
Solving solvable quintics - D. S Dummit
Solvable sextic equations - M. L Glasser & C. Boswell
Proofs from THE BOOK - M. Aigner
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April 24th, 2012, 04:48 AM   #10
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Re: learning math outside a university

Thanks
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