aron/advice_to_young_mathematician

Source: The Princeton Companion to Mathematics: VIII.6 Advice to a Young Mathematician (Freely available online).

I found a link to this from UMass’s Research in Scientific Computing in Undergraduate Education page.

Questions from Reading

  • Erdos vs. Grothendieck? I know of Paul Erdos, but who was Grothendieck?

Quotes for discussion

Sir Michael Atiyah

The art in good mathematics, and mathematics is an art, is to identify and tackle problems that are both interesting and solvable.

Like poetry and music, mathematics is not an occupation but a vocation.

Béla Bollobás

Strive for a balance in your mathematical activity: research should and does come first for real mathematicians, but in addition to doing research, do plenty of reading and teach well. Have fun with mathematics at all levels, even if it has (almost) no bearing on your research. Teaching should not be a burden but a source of inspiration.

What you should be terrified of is a blank sheet in front of you after having thought about a problem for a little while. If after a session your wastepaper basket is full of notes of failed attempts, you may still be doing very well.

Some fun comics

xkcd 435 xkcd 242 Why you want to be an engineer