Calculus Quotes
Quotes tagged as "calculus"
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“Normal. She wanted normal and so did I. "You know what's normal?"
"What?" She wiped away her remaining tears. "Calculus.”
―
"What?" She wiped away her remaining tears. "Calculus.”
―
“Yet in another way, calculus is fundamentally naive, almost childish in its optimism. Experience teaches us that change can be sudden, discontinuous, and wrenching. Calculus draws its power by refusing to see that. It insists on a world without accidents, where one thing leads logically to another. Give me the initial conditions and the law of motion, and with calculus I can predict the future  or better yet, reconstruct the past. I wish I could do that now.
”
― The Calculus of Friendship: What a Teacher and a Student Learned about Life While Corresponding about Math
”
― The Calculus of Friendship: What a Teacher and a Student Learned about Life While Corresponding about Math
“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”
― The Weight of the Stars
― The Weight of the Stars
“I abandoned the assigned problems in standard calculus textbooks and followed my curiosity. Wherever I happened to bea Vegas casino, Disneyland, surfing in Hawaii, or sweating on the elliptical in Boesel's Green MicrogymI asked myself, "Where is the calculus in this experience?”
― The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse
― The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse
“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]”
― Most Likely to Succeed: Preparing Our Kids for the Innovation Era
― Most Likely to Succeed: Preparing Our Kids for the Innovation Era
“Voltaire called the calculus "the Art of numbering and measuring exactly a Thing whose Existence cannot be conceived."
See Letters Concerning the English Nation p. 152”
― The History of the Calculus and Its Conceptual Development
See Letters Concerning the English Nation p. 152”
― The History of the Calculus and Its Conceptual Development
“All the world's a differential equation, and the men and women are merely variables.”
― Change is the Only Constant: The Wisdom of Calculus in a Madcap World
― Change is the Only Constant: The Wisdom of Calculus in a Madcap World
“Math is a weave of many threads: the formal and the intuitive, the simple and the profound, the momentary and the eternal. Love the thread you love. But never mistake it for the tapestry.”
― Change is the Only Constant: The Wisdom of Calculus in a Madcap World
― Change is the Only Constant: The Wisdom of Calculus in a Madcap World
“As its campfires glow against the dark, every culture tells stories to itself about how the gods lit up the morning sky and set the wheel of being into motion. The great scientific culture of the Westour cultureis no exception. The calculus is the story this world first told itself as it became the modern world.”
―
―
“Psychology: it's sociology for sociopaths.”
― Change Is the Only Constant: The Wisdom of Calculus in a Madcap World
― Change Is the Only Constant: The Wisdom of Calculus in a Madcap World
“Three hundred years ago mathematicians were learning to break the cannonball's rise and fall into stairsteps of range and height, Δx and Δy, allowing them to grow smaller and smaller, approaching zero as armies of eternally shrinking midgets galloped upstairs and down again, the patter of their diminishing feet growing finer, smoothing out into continuous sound. This analytic legacy has been handed down intact–it brought the technicians at Peenemünde to peer at the Askania films of Rocket flights, frame by frame, Δx by Δy, flightless themselves . . . film and calculus, both pornographies of flight.”
― Gravity's Rainbow
― Gravity's Rainbow
“Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks.
Some calculustricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics  and they are mostly clever fools  seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way.
Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.”
― Calculus Made Easy
Some calculustricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics  and they are mostly clever fools  seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way.
Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.”
― Calculus Made Easy
“Two writings of alHassār have survived. The first, entitled Kitāb albayān wa ttadhkār [Book of proof and recall] is a handbook of calculation treating numeration, arithmetical operations on whole numbers and on fractions, extraction of the exact or approximate square root of a whole of fractionary number and summation of progressions of whole numbers (natural, even or odd), and of their squares and cubes. Despite its classical content in relation to the Arab mathematical tradition, this book occupies a certain important place in the history of mathematics in North Africa for three reasons: in the first place, and notwithstanding the development of research, this manual remains the most ancient work of calculation representing simultaneously the tradition of the Maghrib and that of Muslim Spain. In the second place, this book is the first wherein one has found a symbolic writing of fractions, which utilises the horizontal bar and the dust ciphers i.e. the ancestors of the digits that we use today (and which are, for certain among them, almost identical to ours) [Woepcke 185859: 26475; Zoubeidi 1996]. It seems as a matter of fact that the utilisation of the fraction bar was very quickly generalised in the mathematical teaching in the Maghrib, which could explain that Fibonacci (d. after 1240) had used in his Liber Abbaci, without making any particular remark about it [Djebbar 1980 : 9799; Vogel 197080]. Thirdly, this handbook is the only Maghribian work of calculation known to have circulated in the scientific foyers of south Europe, as Moses Ibn Tibbon realised, in 1271, a Hebrew translation.
[Mathematics in the Medieval Maghrib: General Survey on Mathematical Activities in North Africa]”
―
[Mathematics in the Medieval Maghrib: General Survey on Mathematical Activities in North Africa]”
―
“Be that as it may, Leibnitz was never able to explain the principles of his calculus clearly, and this shows that there was something in it that was beyond him, something that was as it were imposed upon him without his being conscious of it; had he taken this into account, he most certainly would not have engaged in any dispute over ‘priority’ with Newton. Besides, these sorts of disputes are always completely vain, for ideas, insofar as they are true, are not the property of anyone, despite what modern ‘individualism’ might have to say; it is only error that can properly be attributed to human individuals.”
― The Metaphysical Principles of the Infinitesimal Calculus
― The Metaphysical Principles of the Infinitesimal Calculus
“Mathematics is not just a subject of education system, it is the soul of education system.”
― Wealth of Words
― Wealth of Words
“Most of his predecessors had considered the differential calculus as bound up with geometry, but Euler made the subject a formal theory of functions which had no need to revert to diagrams or geometrical conceptions.”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“Carnot, one of a school of mathematicians who emphasized the relationship of mathematics to scientific practice, appears, in spite of the title of his work, to have been more concerned about the facility of application of the rules of procedure than about the logical reasoning involved.”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“Cournot protested that concepts exist in the understanding, independently of the definition which one gives to them. Simple ideas sometimes have complicated definitions, or even none. For this reason he felt that one should not subordinate the precision of such ideas as those of speed or the infinitely small to logical definition. This point of view is diametrically opposed to that which analysis since the time of Cournot has been toward evergreater care in the formal logical elaboration of the subject. This trend, initiated in the first half of the nineteenth century and fostered largely by Cauchy, was in the second half of that century continued with notable success by Weierstrass.”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“In making the basis of the calculus more rigorously formal, Weierstrass also attacked the appeal to intuition of continuous motion which is implied in Cauchy's expression  that a variable approaches a limit.”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“Thus the required rigor was found in the application of the concept of number, made formal by divorcing it from the idea of geometrical quantity”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“Mathematics is unable to specify whether motion is continuous, for it deals merely with hypothetical relations and can make its variable continuous or discontinuous at will. The paradoxes of Zeno are consequences of the failure to appreciate this fact and of the resulting lack of a precise specification of the problem. The former is a matter of scientific description a posteriori, whereas the latter is a matter solely of mathematical definition a priori. The former may consequently suggest that motion be defined mathematically in terms of continuous variable, but cannot, because of the limitations of sensory perception, prove that it must be so defined.”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“The mathematical theory of continuity is based, not on intuition, but on the logically developed theories of number and sets of points.”
― The History of the Calculus and Its Conceptual Development
― The History of the Calculus and Its Conceptual Development
“With the star up above and the blackness of space, I can't avoid feeling awe. How could we, Homo sapiens, an insignificant species on an insignificant planet adrift in a middleweight galaxy, have managed to predict how space and time would tremble after two black holes collided in the vastness of the universe a billion lightyears away? We knew what that wave should sound like before it got here. And, courtesy of calculus, computers, and Einstein, we were right.”
― Infinite Powers: How Calculus Reveals the Secrets of the Universe
― Infinite Powers: How Calculus Reveals the Secrets of the Universe
“Most mathematics deals with static objects such as circles and triangles and numbers.
But the great universe "out there," not made by us, is in a constant state of what
Newton called flux. At every microsecond it changes magically into something different. Calculus is the mathematics of change.”
― Calculus Made Easy
But the great universe "out there," not made by us, is in a constant state of what
Newton called flux. At every microsecond it changes magically into something different. Calculus is the mathematics of change.”
― Calculus Made Easy
“Most mathematics deals with static objects such as circles and triangles and numbers. But the great universe "out there," not made by us, is in a constant state of what Newton called flux. At every microsecond it changes magically into something different. Calculus is the mathematics of change.”
― Calculus Made Easy
― Calculus Made Easy
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