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"I believe that as much as you take, you have to give back."
I think that when you love someone, you have to be prepared to lose them.
I think it's important to take risks and to challenge yourself. That's how you grow as a person.
You pray for rain, you gotta deal with the mud too. That's a part of it.
At the end of the day it's not about what you have or even what you've accomplished... it's about who you've lifted up, who you've made better. It's about what you've given back.
You have to have confidence in your ability, and then be tough enough to follow through.
If you want to understand function, study structure.
You cannot hope to build a better world without improving the individuals. To that end, each of us must work for our own improvement and, at the same time, share a general responsibility for all humanity, our particular duty being to aid those to whom we think we can be most useful.
You have to spend some energy and effort to see the beauty of math.
I think it's rarely about what you actually learn in class. It's mostly about the way that you look at things.
I don't have any particular recipe [for developing new proofs] ... It is the reason why doing research is challenging as well as attractive. It's like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out.
It is always good to have a problem that you cannot solve. It means you have something to work on.
"In mathematics, you don't understand things. You just get used to them."
You don't manage people; you manage things. You lead people.
The only phrase I've ever disliked is, 'Why, we've always done it that way.' I always tell young people, 'Go ahead and do it. You can always apologize later.'
You don't manage people; you manage things. You lead people.
To solve a problem, you have to be willing to think differently.
If you do something once, people will call it an accident. If you do it twice, they call it a coincidence. But do it a third time and you've just proven a natural law.
You manage things; you lead people.
Leadership is solving problems. The day soldiers stop bringing you their problems is the day you have stopped leading them.