Applied Mathematics Quotes

The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, will fit the facts better than others, and then the geometry which provides that particular map will be the geometry most important for applied mathematics. ~ G.H. Hardy

A famous Japanese Zen master, Hakuun Yasutani Roshi, said that unless you can explain Zen in words that a fisherman will comprehend, you don't know what you're talking about. Some fifty years ago a UCLA professor told me the same thing about applied mathematics. We like to hide from the truth behind foreign-sounding words or mathematical lingo. There's a saying: The truth is always encountered but rarely perceived. If we don't perceive it, we can't help ourselves and we can't much help anyone else. ~ Jeff Bridges

meantime, here is a list of degrees for five of the nerdiest writers: J. STEWART BURNS BS Mathematics, Harvard University MS Mathematics, UC Berkeley DAVID S. COHEN BS Physics, Harvard University MS Computer Science, UC Berkeley AL JEAN BS Mathematics, Harvard University KEN KEELER BS Applied Mathematics, Harvard University PhD Applied Mathematics, Harvard University JEFF WESTBROOK BS Physics, Harvard University PhD Computer Science, Princeton University ~ Simon Singh

I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as "useless" as the theory of numbers. ~ G.H. Hardy

The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. ~ Henry David Thoreau

It is the dull and elementary parts of applied mathematics, as it is the dull and elementary parts of pure mathematics, that work for good or ill. Time may change all this. No one foresaw the applications of matrices and groups and other purely mathematical theories to modern physics, and it may be that some of the 'highbrow' applied mathematics will become 'useful' in as unexpected a way; but the evidence so far points to the conclusion that, in one subject as in the other, it is what is commonplace and dull that counts for practical life. ~ G.H. Hardy

Applied mathematics will always need pure mathematics just as anteaters will always need ants. ~ Paul Halmos

Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics. ~ G.H. Hardy

My decision to leave applied mathematics for economics was in part tied to the widely-held popular belief in the 1960s that macroeconomics had made fundamental inroads into controlling business cycles and stopping dysfunctional unemployment and inflation. ~ Robert C. Merton

Mathematician need only peace of mind and occasionally, paper and pencil. ~ Paul Hoffman

We tend to associate humor with lightheartedness, but really, it's a rhetorical mode than can be applied to any subject. It was through researching Chechnya that I came to understand this. ~ Anthony Marra

We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions. ~ Whitfield Diffie

In ancient China, self-government was highly developed both in community life and in personal life. The custom of mutual protection and assistance was widespread. The organization and regulations of local self-government were clearly defined and strictly applied. Individual self-control was even more strongly emphasized. ~ Chiang Kai-shek

I am sure," cried Catherine, "I did not mean to say anything wrong; but it is a nice book, and why should not I call it so?"
"Very true," said Henry, "and this is a very nice day, and we are taking a very nice walk, and you are two very nice young ladies. Oh! It is a very nice word indeed! It does for everything. Originally perhaps it was applied only to express neatness, propriety, delicacy, or refinement - people were nice in their dress, in their sentiments, or their choice. But now every commendation on every subject is comprised in that one word. ~ Jane Austen

Ames applied this technique to any number of compounds, but one of the most interesting pieces of work was his 1990 paper on "Dietary Pesticides."5 Ames recognized that most plants produced their own pesticides and compared their prevalence to the residues of synthetic pesticides. Surprisingly, they found that 99.99% of the pesticides in the American diet were from plants, and only .01% were from synthetic sources. They noted that only 52 of those naturally occurring pesticides had been tested for carcinogenicity, and that 27 of those were indeed carcinogenic. So, if more than half of the tested natural pesticides were carcinogenic and in far greater concentration than those applied by man, they then concluded that the hazards from synthetic pesticides were probably insignificant. ~ James W. Cooper

Meanwhile, someplace in the world, somebody is making love and another a poem. Elsewhere in the universe, a star manyfold the mass of our third-rate sun is living out its final moments in a wild spin before collapsing into a black hole, its exhale bending spacetime itself into a well of nothingness that can swallow every atom that ever touched us and every datum we ever produced, every poem and statue and symphony we've ever known - an entropic spectacle insentient to questions of blame and mercy, devoid of why.
"In four billion years, our own star will follow its fate, collapsing into a white dwarf. We exist only by chance, after all. The Voyager will still be sailing into the interstellar shorelessness on the wings of the "heavenly breezes" Kepler had once imagined, carrying Beethoven on a golden disc crafted by a symphonic civilization that long ago made love and war and mathematics on a distant blue dot.
But until that day comes, nothing once created ever fully leaves us. Seeds are planted and come abloom generations, centuries, civilizations later, migrating across coteries and countries and continents. Meanwhile, people live and people die - in peace as war rages on, in poverty and disrepute as latent fame awaits, with much that never meets its more, in shipwrecked love.
I will die.
You will die.
The atoms that huddled for a cosmic blink around the shadow of a self will return to the seas that made us.
What will survive of us are shoreless ~ Maria Popova

Only in mathematics and physics was I, through self-study, far beyond the school curriculum, and also with regard to philosophy as it was taught in the school curriculum. ~ Albert Einstein

The world to him no longer seemed a math equation but rather a complex piece of art, a masterpiece of things not easily understood. ~ K. Martin Beckner

It is easier to square a circle than to get round a mathematician. ~ Augustus De Morgan

One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it. ~ David Hilbert

The world is colors and motion, feelings and thoughts and what does math have to do with it? Not much, if 'math' means being bored in high school, but in truth mathematics is the one universal science. Mathematics is the study of pure pattern and everything in the cosmos is a kind of pattern. ~ Rudy Rucker

A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody could possibly know in what area it would become useful; and there were no general indications that it ever would be so. ~ John Von Neumann

Mathematics is the supreme judge; from its decisions there is no appeal. ~ Tobias Dantzig

When I applied my mind to know wisdom and to observe the labor that is done on earth - people getting no sleep day or night-- then I saw all that God has done. No one can comprehend what goes on under the sun. Despite all their efforts to search it out, no one can discover its meaning. Even if the wise claim they know, they cannot really comprehend it. ~ Anonymous

Because of mathematics precise, formal character, mathematical arguments remain sound even when they are long and complex. In contast, common sense arguments can generally be trusted only if they remain short; even moderately long nonmathematical arguments rapidly becomes farfetched an dubious. ~ Jacob T. Schwartz

Everything I learned as an actor, I have basically applied to writing. ~ Quentin Tarantino

It is not knowledge, but the act of learning, not the possession of but the act of getting there, which grants the greatest enjoyment. ~ Carl Friedrich Gauss

If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics. ~ George Santayana

There are gifts and talents that have not yet been used and power which has not been applied ~ Sunday Adelaja

In America, it was decided to attempt the production of atomic bombs with an effort that would constitute a large part of the collective American war effort. In Germany, an effort one thousandth the scale of the American was applied to the problem of producing atomic energy that would drive engines. ~ Werner Heisenberg

WHEN A RESTLESS spirit is commissioned, under influence, to solve a riddle for another man, his energies are, at first, readily and faithfully applied. ~ Eleanor Catton

… Fourier's great mathematical poem ...

{Referring to Joseph Fourier's mathematical theory of the conduction of heat, one of the precursors to thermodynamics.} ~ William Thomson, 1st Baron Kelvin

We today can recognize the antiquity of astrology in words such as disaster, which is Greek for "bad star," influenza, Italian for (astral) "influence"; mazeltov, Hebrew - and, ultimately, Babylonian - for "good constellation," or the Yiddish word shlamazel, applied to someone plagued by relentless ill-fortune, which again traces to the Babylonian astronomical lexicon. According to Pliny, there were Romans considered sideratio, "planet-struck." Planets were widely thought to be a direct cause of death. Or consider consider: it means "with the planets," evidently a prerequisite for serious reflection. ~ Carl Sagan

The Pythagoreans were probably the first to recognize the concept that the basic forces in the universe may be expressed through the language of mathematics. ~ Mario Livio

Poor teaching leads to the inevitable idea that the subject (mathematics) is only adapted to peculiar minds, when it is the one universal science and the one whose four ground-rules are taught us almost in infancy and reappear in the motions to the universe. ~ Henry John Stephen Smith

The history of pi is only a small part of the history of mathematics, which itself is but a mirror of the history of man. That history is full of patterns and tendencies whose frequency and similarity is too striking to be dismissed as accidental. Like the laws of quantum mechanics, and in the final analysis, of all nature, the laws of history are evidently statistical in character. But what those laws are, nobody knows. Only a few scraps are evident. And of these is that the Heisels of Cleveland are more numerous than the Archimedes of Syracuse. ~ Petr Beckmann

We are used to the idea of giving witness to one's life as an important and noble counterpoint to being unheard, especially when applied to people in certain disadvantaged, oppressed or unacceptable situations. But in a slightly more pathological way, I'm not sure that we aren't seeing the emergence of a society in which almost everyone who isn't famous considers themselves cruelly and unfairly unheard. As though being famous, and the subject of wide attention, is considered to be a fulfilled human being's natural state - and so, as a corollary, the cruelly unheard millions are perpetually primed and fired up to answer any and all questions in order to redress this awful imbalance. ~ Chris Heath

As he throws himself into one scheme after another, he draws lessons that improve his focus and judgment. He knits what he learns into mental models of investing, which he then uses to size up more complex opportunities and find his way through the weeds, plucking the telling details from masses of irrelevant information to reach the payoff at the end. These behaviors are what psychologists call "rule learning" and "structure building." People who as a matter of habit extract underlying principles or rules from new experiences are more successful learners than those who take their experiences at face value, failing to infer lessons that can be applied later in similar situations. Likewise, people who single out salient concepts from the less important information they encounter in new material and who link these key ideas into a mental structure are more successful learners than those who cannot separate wheat from chaff and understand how the wheat is made into flour. ~ Peter C. Brown

When nonviolence is accepted as the law of life, it must pervade the whole being and not be applied to isolated acts. ~ Mahatma Gandhi

This is a rather unusual situation in physics. We perform approximate calculations which are valid only in some regime and this gives us the exact answer. This is a theorist's heaven- exact results with approximate methods. ~ Nathan Seiberg

As a boy, it was clear that my inclinations were toward the physical sciences. Mathematics, mechanics, and chemistry were among the fields that gave me a special satisfaction. ~ Ahmed Zewail

The Ark of the Covenant is a Golden Rectangle because its rectangular shape is in the proportions of the Golden Ratio. ~ Donald Frazer

Laying aside also all considerations of works and engines of war, the invention of which has long since reached its limit, and for the improvement of which I see no further hope in the applied arts, I shall recognize the following types of stratagems connected with siege operations ... ~ Frontinus