Travel Quote by Timothy Gowers

“The function ei(kx-ωt) represents a wave that travels at a speed of ω/k, which we have just shown to be equal to -k2. Therefore, the different plane-wave components of the solution travel at different speeds: the higher the angular frequency, the greater the speed. For this reason, the equation…” quote by Timothy Gowers — Download Open image

““The function ei(kx-ωt) represents a wave that travels at a speed of ω/k, which we have just shown to be equal to -k2. Therefore, the different plane-wave components of the solution travel at different speeds: the higher the angular frequency, the greater the speed. For this reason, the equation (1) is called dispersive.””

Timothy Gowers

★ ★ ★ ★ ★ 4.9 out of 5 (4 ratings)

Travel

More by Timothy Gowers

Although the prime numbers are rigidly determined, they somehow feel like experimental data.

Timothy Gowers

Image

“if, for each t, we write u(t) for the function from to that takes x to u(x, t), then it describes how the function…

Timothy Gowers

Image

What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the…

Timothy Gowers

Image

“ut = -uux - uxxx. Why is it that this equation gives rise to the remarkable stability of the solutions that was observed experimentally…

Timothy Gowers

Image

“It is a remarkable phenomenon that children can learn to speak without ever being consciously aware of the sophisticated grammar they are using.”

Timothy Gowers

Image

It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers.

Timothy Gowers

Image

“differential equations that can be solved in “closed form,” that is, by means of a formula for the unknown function f, are the exception…

Timothy Gowers

Image

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

Timothy Gowers

Image

At the other end of the spectrum is, for example, graph theory, where the basic object, a graph, can be immediately comprehended. One will not get anywhere in graph theory by sitting in an armchair and trying to understand graphs better. Neither is it particularly necessary to read much of the literature before tackling a problem: it is of course…

Timothy Gowers

... the atlas is a manifold. This is a typical mathematician's use of the word "is", and should not be confused with the normal use.

Timothy Gowers

Image

Here is something Category-Theorists like: it is trivial, but not trivially trivial.

Timothy Gowers

Image

“Can we have genuine knowledge of space without ever leaving our armchairs?”

Timothy Gowers

Image

Explore all 17 Timothy Gowers quotes

More Travel quotes

“Within the pages of books, I've journeyed to Mandalay, the Milky Way and Santa Fe, without once having to leave my armchair.”

Kevin Ansbro

Image

Strange - is it not? That of the myriads who Before us passed the door of Darkness through, Not one returns to tell us…

Horace

Image

I travel all the time. I'm very restless you know.

Eddy de Clercq

Image

“The only thing--I tell you this straight from the heart--that disgusts me in Salzburg is that one can't have any proper social intercourse with those people--and that music does not have a better reputation...For I assure you, without travel, at least for people from the arts and sciences, one is a miserable creature!...A man of mediocre talents always remains mediocre,…

Wolfgang Amadeus Mozart

In the nineteenth century some parts of the world were unexplored, but there was almost no restriction on travel.:; Up to 1914 you did not need a passport for any country except Russia.:; The European emigrant, if he could scrape together a few pounds for the passage, simply set sail for America or Australia, and when he got there no…

George Orwell