In order to solve this differential equation you look at it until a solution occurs to you. — George Polya
Science is a differential equation. Religion is a boundary condition. — Alan Turing
Science is the Differential Calculus of the mind. Art the Integral Calculus; they may be beautiful when apart, but are greatest only when combined. — Ronald Ross
I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus. — Albert Einstein
After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential. — Leonhard Euler
If equations are trains threading the landscape of numbers, then no train stops at pi. — Richard Preston
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians. — Edsger Dijkstra
Politics is for the present, but an equation is for eternity. — Albert Einstein
An equation means nothing to me unless it expresses a thought of God. — Srinivasa Ramanujan
God does not care about our mathematical difficulties. He integrates empirically. — Albert Einstein
One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers. — Heinrich Hertz
It was as though applied mathematics was my spouse, and pure mathematics was my secret lover. — Edward Frenkel
It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress. — Paul Dirac
Mathematics began to seem too much like puzzle solving. Physics is puzzle solving, too, but of puzzles created by nature, not by the mind of man. — Maria Goeppert-Mayer
Young man, in mathematics you don't understand things. You just get used to them. — John Von Neumann
Differential Calculus Quotes
But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes. — Antonin Artaud
I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral, I am the very model of a modern Major-General. — W. S. Gilbert
But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not. — Johann Bernoulli
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science. — Mary Somerville
In my free time I do differential and integral calculus. — Karl Marx
Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time. — Sophus Lie
Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus, as well as analytical geometry. — Felix Klein
I am the very model of a modern major general — W. S. Gilbert
As professor in the Polytechnic School in Zürich I found myself for the first time obliged to lecture upon the elements of the differential calculus and felt more keenly than ever before the lack of a really scientific foundation for arithmetic. — Richard Dedekind
Newton, of course, was the inventor of differential calculus so his place in the tale is quite special. — Kit Williams
Mathematical Equations Quotes
Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. — Nikola Tesla
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful. — Aristotle
It is more important to have beauty in one's equations than to have them fit experiment. — Paul Dirac
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. — William Thurston
If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries. — Carl Friedrich Gauss
The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved. — Paul Dirac
Geometry is the science of correct reasoning on incorrect figures. — George Polya
Love and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation. — Ralph Waldo Emerson
Investment success cannot be captured in a mathematical equation or a computer program. — Seth Klarman
The world looks like a multiplication-table, or a mathematical equation, which, turn it how you will, balances itself. — Ralph Waldo Emerson
If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair success. — Max Born
Knowing what is big and what is small is more important than being able to solve partial differential equations. — Stanislaw Ulam
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics. — John Von Neumann
Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing. — Vladimir Arnold
If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future). — Benoit Mandelbrot
It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations. — Felix Klein
The principle is so perfectly general that no particular application of it is possible. — George Polya
"Do you know," the Devil confided, "not even the best mathematicians on other planets - all far ahead of yours - have solved it? Why, there is a chap on Saturn - he looks something like a mushroom on stilts - who solves partial differential equations mentally; and even he's given up." — Arthur Porges
What is the difference between method and device? A method is a device which you use twice. — George Polya
There's no doubt that scientific training helps many authors to write better science fiction. And yet, several of the very best were English majors who could not parse a differential equation to save their lives. — David Brin
The difficulty involved in the proper and adequate means of describing changes in continuous deformable bodies is the method of differential equations. ... They express mathematically the physical concept of contiguous action.
Einstein's Theory of Relativity — Max Born
Baseball players or cricketers do not need to be able to solve explicitly the non-linear differential equations which govern the flight of the ball. They just catch it. — Paul Ormerod
Differential equations won't help you much in the design of aeroplanes - not yet, anyhow. — Nevil Shute
Man's destiny is to know, if only because societies with knowledge culturally dominate societies that lack it. Luddites and anti-intellectuals do not master the differential equations of thermodynamics or the biochemical cures of illness. They stay in thatched huts and die young. — E. O. Wilson
We have the only cookbook in the world that has partial differential equations in it. — Nathan Myhrvold
It is a curious historical fact that modern quantum mechanics began with two quite different mathematical formulations: the differential equation of Schroedinger and the matrix algebra of Heisenberg. The two apparently dissimilar approaches were proved to be mathematically equivalent. — Richard P. Feynman
Science is global. Einstein's equation, E=mc2, has to reach everywhere. Science is a beautiful gift to humanity, we should not distort it. Science does not differentiate between multiple races. — A. P. J. Abdul Kalam
I think people should be allowed to do what they want to do. I think that it doesn't make sense for a certain class to be able to get married and be treated differently when others are not. But I don't equate polygamy with same-sex marriages - and I know you don't either. Polygamy is a different story because it has different class differentiations in it. — Laura Wasser
Science is global. Einstein's equation, E=mc2, has to reach everywhere. Science is a beautiful gift to humanity, we should not distort it. Science does not differentiate between multiple races. — Abdul Kalam
What is the origin of the urge, the fascincation that drives physicists, mathematicians, and presumably other scientists as well? Psychoanalysis suggests that it is sexual curiosity. You start by asking where little babies come from, one thing leads to another, and you find yourself preparing nitroglycerine or solving differential equations. This explanation is somewhat irritating, and therefore probably basically correct. — David Ruelle
How did Biot arrive at the partial differential equation? [the heat conduction equation] . . . Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals. — Clifford Truesdell
Man is said to be a reasoning animal. I do not know why he has not been defined as an affective or feeling animal. Perhaps that which differentiates him from other animals is feeling rather than reason. More often I have seen a cat reason than laugh or weep. Perhaps it weeps or laughs inwardly - but then perhaps, also inwardly, the crab resolves equations of the second degree. — Miguel de Unamuno
In Conclusion
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