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Overview

Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including codifying the idea of limits, put these developments on a more solid conceptual footing. Today, calculus has widespread uses in science, engineering, and social science. Etymology

From Wikipedia (CC BY-SA 4.0).

Notable quotes

“I don't have a word for how it smelled. Like calculus, perhaps?”
— Chester Anderson, The Butterfly Kid (1967), Chapter 14
“[Human and physical events are] equally susceptible of being calculated, and all that is necessary, to reduce the whole of nature to laws similar to those which Newton discovered with the aid of the calculus, is to have a sufficient number of observations and a mathematics that is complex enough.”
— Marquis de Condorcet, as quoted in "Mathematical Modeling" by Philip A. Schrodt
“Love was actually more like calculus or physics. What was the half-life of love? Did it have cosigns and slopes, or quarks that morphed from wave to particle faster than you could say, please don’t leave?””
— Trebor Healey in A Horse Named Sorrow (2012), p. 39
“In this work I have attempted to treat economy as a calculus of pleasure and pain, and have sketched out, almost irrespective of previous opinions, the form which the science, as it seems to me, must ultimately take.”
— William Stanley Jevons, The Theory of Political Economy (1871), Preface To The First Edition, p. 4
“The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics, and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking."”
— John von Neumann, in James R. Newman The World of Mathematics, Рипол Классик, p. 2055
“Newton, of course, was the inventor of so his place in the tale is quite special. Even the loss of two years worth of formulae wasn’t enough to dislodge him from his dogged path …”
— , as quoted in

Quotes via Wikiquote (CC BY-SA), each with its original source.

Notable quotes

“I don't have a word for how it smelled. Like calculus, perhaps?”
— Chester Anderson, The Butterfly Kid (1967), Chapter 14
“[Human and physical events are] equally susceptible of being calculated, and all that is necessary, to reduce the whole of nature to laws similar to those which Newton discovered with the aid of the calculus, is to have a sufficient number of observations and a mathematics that is complex enough.”
— Marquis de Condorcet, as quoted in "Mathematical Modeling" by Philip A. Schrodt
“Love was actually more like calculus or physics. What was the half-life of love? Did it have cosigns and slopes, or quarks that morphed from wave to particle faster than you could say, please don’t leave?””
— Trebor Healey in A Horse Named Sorrow (2012), p. 39
“In this work I have attempted to treat economy as a calculus of pleasure and pain, and have sketched out, almost irrespective of previous opinions, the form which the science, as it seems to me, must ultimately take.”
— William Stanley Jevons, The Theory of Political Economy (1871), Preface To The First Edition, p. 4
“The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics, and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking."”
— John von Neumann, in James R. Newman The World of Mathematics, Рипол Классик, p. 2055
“Newton, of course, was the inventor of so his place in the tale is quite special. Even the loss of two years worth of formulae wasn’t enough to dislodge him from his dogged path …”
— , as quoted in

Quotes via Wikiquote (CC BY-SA), each with its original source.

Overview

From Wikipedia (CC BY-SA 4.0).

calculus

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calculus

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calculus across IJR

Overview

Notable quotes

Notable quotes

Overview

calculus across IJR