Differential Calculus Quotes

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

Love can reach the same level of talent, and even genius, as the discovery of differential calculus. ~ Lev Vygotsky

At the Stourbridge Fair in 1663, at age twenty, he purchased a book on astrology, "out of a curiosity to see what there was in it." He read it until he came to an illustration which he could not understand, because he was ignorant of trigonometry. So he purchased a book on trigonometry but soon found himself unable to follow the geometrical arguments. So he found a copy of Euclid's Elements of Geometry, and began to read. Two years later he invented the differential calculus. ~ Carl Sagan

Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc ... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus. ~ Abraham Robinson

But the point is that a story is exciting because it has in it so strong an element of will, of what theology calls free-will. You cannot finish a sum how you like. But you can finish a story how you like. When somebody discovered the Differential Calculus there was only one Differential Calculus he could discover. But when Shakespeare killed Romeo he might have married him to Juliet's old nurse if he had felt inclined. And Christendom has excelled in the narrative romance exactly because it has insisted on the theological free-will. ~ G.K. Chesterton

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

Don't Drink and DERIVE, Alcohol and Calculus Don't Mix, ~ Penny Reid

All along, I kept thinking, I will never do this again, I will never be here again, this will never be my locker again, Radar and I will never write notes in calculus again ~ John Green

They thought they were employing an economy-saving doctrine of situational leniency, but they somehow failed to understand that by coming up with a calculus to determine who was big enough and important enough to command jurisprudential mercy, they were simultaneously making a calculation about who was small enough and unimportant enough not to qualify. ~ Matt Taibbi

Calculus is the most powerful weapon of thought yet devised by the wit of man. ~ Wallace B. Smith

Only by assuming an infinitesimally small unit for observation - a differential of history (that is, the common tendencies of men) - and arriving at the art of integration (finding the sum of the infinitesimals) can we hope to discover the laws of history. ~ Leo Tolstoy

We need to raise the level of our game in terms of explaining the planetary warming by infrared absorption of CO2 etc. The missing area of understanding seems to be the actual physical mechanism. Lets target an explanation at an audience that has taken 1 year each of undergraduate physics and chemistry, plus calculus. Once we have something that is convincing at this level, we can work on how to communicate this to the interested public (i.e. those that hang out in the climate blogosphere). Willis Eschenbach's help is needed in translating this for the WUWT crowd. ~ Judith Curry

Well, I live a double life. Tonight, I'll escort you to dinner. Then I have to rush home and finish my calculus homework.'
'You're not joking, are you?'
'I never joke about calculus homework. ~ Rick Riordan

Tinkerers built America. Benjamin Franklin, Thomas Edison, Henry Ford, all were tinkerers in their childhood. Everything from the airplane to the computer started in somebody's garage. Go back even further: the Industrial Revolution was a revolution of tinkerers. The great scientific thinkers of eighteenth-century England couldn't have been less interested in cotton spinning and weaving. Why would you be? It was left to a bloke on the shop floor who happened to glance at a one-thread wheel that had toppled over and noticed that both the wheel and the spindle were still turning. So James Hargreaves invented the spinning jenny, and there followed other artful gins and mules and frames and looms, and Britain and the world were transformed. By tinkerers rather than thinkerers. "Technological change came from tinkerers," wrote Professor J.R. McNeill of Georgetown, "people with little or no scientific education but with plenty of hands-on experience." John Ratzenberger likes to paraphrase a Stanford University study: "Engineers who are great in physics and calculus but can't think in new ways about old objects are doomed to think in old ways about new objects." That's the lesson of the spinning jenny: an old object fell over and someone looked at it in a new way. ~ Mark Steyn

Dating is the gym class of life, not the advanced calculus class. ~ Chad Eastham

But sometimes we do things that make no sense except in some arcane calculus hidden in our emotions. ~ Kevin Hearne

Her days felt like being handed from person to person like a baton, her calculus teacher passing her to her Spanish teacher to her chemistry teacher to her friends and back home to her parents. Then one day, her mother's hand was gone and she'd fallen, clattering to the floor. ~ Brit Bennett

"I see it, but I don't believe it." ~ Richard Dedekind

I did not take a calculus course until my second year of college. ~ Robert Coleman Richardson

It may be said that the conceptions of differential quotient and
integral, which in their origin certainly go back to Archimedes,
were introduced into science by the investigations of Kepler,
Descartes, Cavalieri, Fermat and Wallis ... ~ Sophus Lie

The theory which follows is entirely based on a calculus of pleasure and pain; and the object of economics is to maximize happiness by purchasing pleasure, as it were, at the lowest cost of pain. ~ William Stanley Jevons

Accordingly, we find Euler and D'Alembert devoting their talent and their patience to the establishment of the laws of rotation of the solid bodies. Lagrange has incorporated his own analysis of the problem with his general treatment of mechanics, and since his time M. Poinsot has brought the subject under the power of a more searching analysis than that of the calculus, in which ideas take the place of symbols, and intelligent propositions supersede equations. ~ James Clerk Maxwell

This book is for all of us who looked up at the sky in wonder, and then cried when we learned how much calculus separated us from the stars ~ K. Ancrum

Usually, girls weren't encouraged to go to college and major in math and science. My high school calculus teacher, Ms. Paz Jensen, made math appealing and motivated me to continue studying it in college. ~ Ellen Ochoa

By June 1949 people had begun to realize that it was not so easy to get a program right as had at one time appeared. I well remember when this realization first came on me with full force. The EDSAC was on the top floor of the building and the tape-punching and editing equipment one floor below on a gallery that ran round the room in which the differential analyzer was installed. I was trying to get working my first non-trivial program, which was one for the numerical integration of Airy's differential equation. It was on one of my journeys between the EDSAC room and the punching equipment that "hesitating at the angles of stairs" the realization came over me with full force that a good part of the remainder of my life was going to be spent in finding errors in my own programs. ~ Martin Campbell-Kelly

The cookbook gives a detailed description of ingredients and procedures but no proofs for its prescriptions or reasons for its recipes; the proof of the pudding is in the eating ... Mathematics cannot be tested in exactly the same manner as a pudding; if all sorts of reasoning are debarred, a course of calculus may easily become an incoherent inventory of indigestible information. ~ George Polya

If college admissions officers are going to encourage kids to take the same AP math class, why not statistics? Almost every career (whether in business, nonprofits, academics, law, or medicine benefits from proficiency in statistics. Being an informed, responsible citizen requires a sound knowledge of statistics, as politicians, reporters, and bloggers all rely on "data" to justify positions. [p.98] ~ Tony Wagner

Differential equations won't help you much in the design of aeroplanes - not yet, anyhow. ~ Nevil Shute

It is clear that economics, if it is to be a science at all, must be a mathematical science. ~ William Stanley Jevons

In such a wild, uncharted place the book of God was vital, for it nourished their spirit and laid boundaries for their conduct. Other subjects simply had no relevance. Trigonometry and calculus would not help them find their way among the mountain trails. Adam Smith's economics were of no consequence in the matter of planting corn and breeding cattle. Nor did they need the essays of Plato or the plays of Shakespeare to teach them how to shoot a rifle, or to make clothes from animal skins, or to clear away the wilderness with their own bare hands. ~ James Webb

The change began with John Stuart Mill and the Utopians . When Mill pointed out that economics had no ultimate solution to the problem of distribution , that society might do with the fruits of its toil as it saw fit, he introduced into the mechanical calculus of the market a conflicting calculus of moral judgment. ~ Robert Heilbroner

We liked to be known as the clever girls. When we decorated our hands with henna for holidays and weddings, we drew calculus and chemical formulae instead of flowers and butterflies. ~ Malala Yousafzai

But no, I had a test in Calculus. I flunked the test, badly. It was as though my brain didn't want to solve for the rate of acceleration ... ~ Robyn Schneider

Democracy turns upon and devours itself. Universal suffrage, in theory the palladium of our liberties, becomes the assurance of our slavery. And that slavery will grow more and more abject and ignoble as the differential birth rate, the deliberate encouragement of mendicancy and the failure of popular education produce a larger and larger mass of prehensile half-wits, and so make the demagogues more and more secure. ~ H.L. Mencken

Nothing takes place in the world whose meaning is not that of some maximum or minimum. ~ Leonhard Euler

Expected outcomes contribute to motivation independently of self-efficacy beliefs when outcomes are not completely controlled by quality of performance. This occurs when extraneous factors also affect outcomes, or outcomes are socially tied to a minimum level of performance so that some variations in quality of performance above and below the standard do not produce differential outcomes ~ Albert Bandura

The title which I most covet is that of teacher. The writing of a research paper and the teaching of freshman calculus, and everything in between, falls under this rubric. Happy is the person who comes to understand something and then gets to explain it. ~ Marshall A. Cohen

Weight Watchers points is a beautiful system for someone who is absentminded about food. They aren't the greatest for someone who has had eating disorders all her life. The world became numbers to me and I was doing more math than I ever had before. I got off Weight Watchers and went back to just counting calories. The world became different kinds of numbers, the old, familiar kind. This is how I eat now. The world is still numbers, but it is algebra, not calculus. ~ Melissa Broder

I was always very strong in math, physics and calculus. ~ Debi Thomas

A month's intelligent instruction in the theory of numbes ought to be twice as instructive, twice as useful, and at least 10 times as entertaining as the same amount of 'calculus for engineers'. ~ G.H. Hardy

An uncredited study she read once said, quote, "Girls become really stupid in science after they get their period, so you'd better learn as much as possible before that happens." I had such anxiety about this "clearly proven" biological fact that I was studying calculus by the age of twelve. When I finally got my period, I cried, not because I was growing up, but because I had just learned derivatives and really enjoyed doing them. I was scared that estrogen would wipe the ability to do them from my brain. ~ Felicia Day

I saw you having a hard time getting across the grass to your car.' He whispers it, like he's telling me secrets.

'You saw that?'

He turns a slight shade of pink, rubs the back of his neck, and stares out of the kitchen window.

'I wasn't spying.' For a moment he looks ten years younger. 'I was hoping to get your attention. You see, I thought we were flirting.'

'Hang on a second.' I'm confused. It's like being introduced to Advanced Calculus all over again. 'You mistook an anxiety attack for flirting? How?' Trying to figure out which part of my harpooned-squid impression could be considered anything other than tragic. ~ Louise Gornall

The illegitimate use of a state by economic interests for their own ends is based upon a preexisting illegitimate power of the state to enrich some persons at the expense of others. Eliminate that illegitimate power of giving differential economic benefits and you eliminate or drastically restrict the motive for wanting political influence. ~ Robert Nozick

Milly is not, in fact, ugly, but she might as well be. She has a pretty face, which is the same thing as ugly when a woman is fat. In the complex calculus between men and women, Milly understands that fat is always ugly and that ugly and skinny makes a woman eminently more desirable than fat and any combination such as beautiful, charming, intelligent, or kind. Milly is all those things. She knows it doesn't matter. ~ Roxane Gay

She means," Nate said, turning away from the books, "That David has gone full weird."
"He was always that way<' Janelle said in a low voice.
"Yeah, but now he's completed his journey. Our little caterpillar has turned into a freaky butterfly."
"Tell her about the screaming," Janelle said. "Because I can't."
"The screaming? Stevie repeated.
"The other morning he started something called 'screaming meditation'," Nate said. "Guess what happens in screaming meditation? Did you guess screaming? For fifteen minutes? Because that's what happens in screaming meditation. Fifteen. Minutes. Outside. At five in the morning. Do you know what happens when someone screams outside for fifteen minutes at five in the morning at a remote location in the mountains, especially after a . . ."
The implied dot dot dot was "student dies in a terrible accident or maybe murder and another one goes missing."
"When security got to him he claimed it was his new religion and that it is something he needs to do every morning now as a way to talk to the sun."
So this is what Edward King had been referring to.
"Sometimes," Nate went on, tapping the books into place so that the spines lined up perfectly, "he sleeps on the roof. Or somewhere else. Sometimes the green."
"Naked," Janelle added. "He sleeps on the green naked."
"Or in classrooms," Nate said. "Someone said they went into differential equations and he was asleep in the corner of the room under ~ Maureen Johnson

I abandoned the assigned problems in standard calculus textbooks and followed my curiosity. Wherever I happened to be
a Vegas casino, Disneyland, surfing in Hawaii, or sweating on the elliptical in Boesel's Green Microgym
I asked myself, Where is the calculus in this experience? ~ Jennifer Ouellette