Question Number 1486 by 112358 last updated on 13/Aug/15

While this may be a bit off the usual Q n A posts here, what advice can be given to someone wishing to successfully carry out undergraduate studies in mathematics? I′m worried about my problem solving skills and my ability to consider all aspects of a problem.

Answered by 2closedStringsMeet last updated on 16/Aug/15

Considering all aspects of a problem shouldnt be your biggest concern; Instead yearn to well focus on the underlying assumptions that given problems seem to imply; and solve from a thereof connection . Quite simple story−telling; once you know the grammar, you tell it by finding ways to suitingly connect given events; and not by intending to consider all possible ways to connect them. As a theoretical physics student, mathematics has become a language for me; once had it been a simple tool. Problem solving skills come to me not by thinking about the problem itself, but by letting the assumptions of the problem be true, and so, investigate its implications. Suggesting that you solve a bunch of problems, i thought, wouldnt hit the spot. In my experience with mathematics, in general, is the power of assumption that lets you discover new ways to see a problem; thereof coming close to seeing ′′all′′ aspects of such problem. For a mathematics carrier in general, i would advice you to talk to as many mathematicians as you can; the push lies in the interest and yearn for the mysterious and abstract; where skills are grown out of lust for the unknown.

Commented byuserid1 last updated on 17/Sep/16

nice.