A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation.

Calculus works by making visible the infinitesimally small.

Indeed, nowadays no electrical engineer could get along without complex numbers, and neither could anyone working in aerodynamics or fluid dynamics.

I firmly believe that mathematics does not exist outside of humans. It is something we, as a species, invent.

We mathematicians are used to the fact that our subject is widely misunderstood, perhaps more than any other subject (except perhaps linguistics).

The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers.

Cardinal arithmetic will be quite important for us, so we spend some time on it. Since, however, it tends to be trivial, we shall not need to spend much of this time on proofs.

There can be very little of present-day science and technology that is not dependent on complex numbers in one way or another.

The linear-programming was - and is - perhaps the single most important real-life problem.

I've never met Hans Rosling, but I just knew him through his many YouTube videos, and they were absolute dynamite.

Given the brief - and generally misleading - exposure most people have to mathematics at school, raising the public awareness of mathematics will always be an uphill battle.

Yoga is not just a workout, it is a natural way of enhancing flexibility, calmness, clarity, and youthfulness.

The public is never wrong.

Our intellect has created a new world that dominates nature, and has populated it with monstrous machines.

I get great satisfaction from both business and philanthropy.

Evolution is a tinkerer.

People will protect what they love.

Before the real city could be seen it had to be imagined, the way rumours and tall tales were a kind of charting.

If I'm going to be anything more than average, if anyone is going to remember me, then I need to go further, in art, in life, in everything!

The possession of unnecessary implements makes difficult the collection of taxes and dues and tends to foment uprisings.

As I was walking down the stairs, I kept thinking that the room felt like a movie theater with all your attention on this wall, so it seemed like a big challenge.