I found myself obliged, through perhaps unique circumstances, to devote myself to my mathematical research, almost without help, advice or even books... Endlessly occupied by a thousand different matters and constrained my state duties, it is the work of an engineer that I herewith present and not the fruit of the meditations of a savant.

I realized after I'd been at MIT for a while that I had never even known the semantics of the word "engineering". You see, all my relatives and contacts were medical doctors or biology and chemistry professors. In fact, I'm almost the "black sheep" in the family for not being an MD or Ph.D. because everybody was doing that sort of thing. There was no contact at all with engineering. I didn't even know what the word meant...

There is much to be said for being a mathematician. To begin with, he has to be completely honest in his work, not from any superior morality, but because he simply cannot get away with a fake. ... A mathematician's normal day contains hours of close concentration, and leaves him jaded in the evening. ... This is why we tend to relax either on mild nonfiction like biographies, or - to be crude, and to the derision of arts people - on trash. There is, of course, good trash and bad trash. ... Minor depressions will occur, and most of a mathematician's life is spent in frustration, punctuated with rare inspirations. A beginner can't expect quick results; if they are quick they are pretty sure to be poor. ... When one has finished a substantial paper there is commonly a mood in which it seems that there is really nothing in it. Do not worry, later on you will be thinking 'At least I could do something good then.' At the end of a particularly long and exacting work there can be a strange melancholy. This, however, is romantic, and mildly pleasant, like some other melancholies.

A scientist studies what is, whereas an engineer creates what never was.

Because I had to choose some teaching subjects, I chose mathematics.

I cannot say that I was born to be a mathematician. I followed a path that led me to mathematics. As I went through the steps, I thought why not continue. Also, I must admit that my father was very demanding and followed me closely. I had faith in what I was doing

When I came back from Munich, it was September, and I was Professor of Mathematics at the Eindhoven University of Technology. Later I learned that I had been the Department's third choice, after two numerical analysts had turned the invitation down; the decision to invite me had not been an easy one, on the one hand because I had not really studied mathematics, and on the other hand because of my sandals, my beard and my "arrogance" (whatever that may be).

But engineering no longer interested me. The day I’d arrived, they had me designing a clutch spring. It had taken me an entire day to make a detailed drawing of it, and I said to myself: “What on earth am I doing? Is this how I want to be spending the rest of my life?” I wanted to stay at Ford, but not in engineering. I was eager to be where the real action was — marketing or sales. I liked working with people more than machines.

This suiting my humor so well; I did thenceforth prosecute it, (at School and in the University) not as a formal Study, but as a pleasing Diversion, at spare hours; as books of Arithmetick or others Mathematical fel occasionally in my way. For I had none to direct me, what books to read, or what to seek, or in what Method to proceed. For Mathematicks, (at that time, with us) were scarce looked upon as Academical Studies, but rather Mechanical; as the business of Traders, Merchants, Seamen, Carpenters, Surveyors of Lands, or the like; and perhaps some Almanack-makers in London.

... Eventually, I became a tenure-track professor at , which had a combined math department with .
And then I made a big change. I quit my job and went to work as a quant for , a leading hedge fund. In leaving academia for finance, I carried mathematics from abstract theory into practice. The operations we performed on numbers translated into trillions of dollars sloshing from one account to another. At first I was excited and amazed by working in this new laboratory, the global economy. But in the autumn of 2008, after I'd been there for a bit more than a year, it came crashing down
The crash made it all too clear that mathematics, once my refuge, was not only deeply entangled in the also fueling many of them. The housing crisis, the collapse of major financial institutions, the rise of unemployment—all had been aided and abetted by mathematicians wielding magic formulas.

A mathematician is not a man who can readily manipulate figures; often he cannot. He is not even a man who can readily perform the transformation of equations by the use of calculus. He is primarily an individual who is skilled in the use of symbolic logic on a high plane, and especially he is a man of intuitive judgment in the choice of the manipulative processes he employs.

The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful.

There is probably no other science which presents such different appearances to one who cultivates and one who does not, as mathematics. To [the non-mathematician] it is ancient, venerable, and complete; a body of dry, irrefutable, unambiguous reasoning. To the mathematician, on the other hand, his science is yet in the purple of bloom of vigorous youth, everywhere stretching out after the "attainable but unattained," and full of the excitement of nascent thoughts; its logic is beset with ambiguities, and its analytic processes, like Bunyan's road, have a quagmire on one side and a deep ditch on the other, and branch off into innumerable by-paths that end in a wilderness.

We tend to think that the phenomenon of engineers and scientists being at the top of a company is something that started with Bill Gates, Steve Wozniak or Gary Kildall. But this just isn’t the case. Even back in the days when IBM was the single most important computer company, it was possible for one of its engineers to escape and make an impact that disturbed even Big Blue.