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.

Calculus works by making visible the infinitesimally small.

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

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.

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.

True glory consists in doing what deserves to be written, in writing what deserves to be read, and in so living as to make the world happier and better for our living in it.

That's why I began doing makeup in the first place: I was hoping that through helping people see the beauty in themselves, I could try and find it in me.

I feel like my work has been my path to freedom from having grown up in a segregated environment.

What you love and what you hate reveal what you are.

I have understood that the most important things are tenderness and kindness. I can't do without them.

My experience of men in cars has always been that if you don't want them to do something, they will. It is when they are behind a wheel that they most fear the control of women and children.

There is no new knowledge, all is ancient and infinite

Ninety-five percent of the beliefs we have stored in our minds are nothing but lies, and we suffer because we believe all these lies.

My career came together very quickly. I only trained for four years before I became a professional, so I didn't have a lot of time to sit back and be inspired before I took my first ballet class.

The benefits of Mouna (Silence) are incalculable.