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51 relations: Abraham Robinson, Acta Eruditorum, Analytical Society, Arc length, Calculus, Cengage, Chain rule, Cours d'Analyse, Derivative, Differential (mathematics), Differential equation, Differential form, Differential operator, Dimensional analysis, Edwin Hewitt, Elementary Calculus: An Infinitesimal Approach, Fluxion, Function (mathematics), Gottfried Wilhelm Leibniz, Guillaume de l'Hôpital, Howard Jerome Keisler, Hyperreal number, Infinitesimal, Integral symbol, Integration by substitution, Inverse function, Jerzy Łoś, Karl Weierstrass, Leibniz–Newton calculus controversy, Limit (mathematics), Long s, Mathematical Association of America, Mathematical notation, Mathematics, Non-standard analysis, Non-standard calculus, Notation for differentiation, Nova Methodus pro Maximis et Minimis, Philosophy, Prime (symbol), Quotient, Real number, Robert Recorde, Robert Woodhouse, Second derivative, Separation of variables, Standard part function, University of Cambridge, Velocity, Vinculum (symbol), ..., William Oughtred. Expand index (1 more) »
Abraham Robinson
Abraham Robinson (born Robinsohn; October 6, 1918 – April 11, 1974) was a mathematician who is most widely known for development of non-standard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics.
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Acta Eruditorum
Acta Eruditorum (Latin for "reports/acts of the scholars") was the first scientific journal of the German lands, published from 1682 to 1782.
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Analytical Society
The Analytical Society was a group of individuals in early-19th-century Britain whose aim was to promote the use of Leibnizian notation for differentiation in calculus as opposed to the Newton notation for differentiation.
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Arc length
Determining the length of an irregular arc segment is also called rectification of a curve.
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Calculus
Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), 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.
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Cengage
Cengage is an educational content, technology, and services company for the higher education, K-12, professional, and library markets worldwide.
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Chain rule
In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.
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Cours d'Analyse
Cours d'Analyse de l’École Royale Polytechnique; I.re Partie.
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Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
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Differential (mathematics)
In mathematics, differential refers to infinitesimal differences or to the derivatives of functions.
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Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
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Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
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Differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
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Dimensional analysis
In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed.
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Edwin Hewitt
Edwin Hewitt (January 20, 1920, Everett, Washington – June 21, 1999) was an American mathematician known for his work in abstract harmonic analysis and for his discovery, in collaboration with Leonard Jimmie Savage, of the Hewitt–Savage zero–one law.
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Elementary Calculus: An Infinitesimal Approach
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler.
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Fluxion
The fluxion of a "fluent" (a time-varying quantity, or function) is its instantaneous rate of change, or gradient, at a given point.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.
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Guillaume de l'Hôpital
Guillaume François Antoine, Marquis de l'Hôpital (1661 – 2 February 1704) was a French mathematician.
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Howard Jerome Keisler
Howard Jerome Keisler (born 3 December 1936) is an American mathematician, currently professor emeritus at University of Wisconsin–Madison.
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Hyperreal number
The system of hyperreal numbers is a way of treating infinite and infinitesimal quantities.
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Infinitesimal
In mathematics, infinitesimals are things so small that there is no way to measure them.
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Integral symbol
The integral symbol: is used to denote integrals and antiderivatives in mathematics.
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Integration by substitution
In calculus, integration by substitution, also known as u-substitution, is a method for finding integrals.
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Inverse function
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.
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Jerzy Łoś
Jerzy Łoś (born March 22, 1920 in Lwów, Poland (now Lviv, Ukraine) – June 1, 1998 in Warsaw) was a Polish mathematician, logician, economist, and philosopher.
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Karl Weierstrass
Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".
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Leibniz–Newton calculus controversy
The calculus controversy (often referred to with the German term Prioritätsstreit, meaning "priority dispute") was an argument between 17th-century mathematicians Isaac Newton and Gottfried Leibniz (begun or fomented in part by their disciples and associates) over who had first invented the mathematical study of change, calculus.
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Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.
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Long s
The long, medial, or descending s (ſ) is an archaic form of the lower case letter s. It replaced a single s, or the first in a double s, at the beginning or in the middle of a word (e.g. "ſinfulneſs" for "sinfulness" and "ſucceſsful" for "successful").
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Mathematical Association of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.
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Mathematical notation
Mathematical notation is a system of symbolic representations of mathematical objects and ideas.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.
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Non-standard calculus
In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus.
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Notation for differentiation
In differential calculus, there is no single uniform notation for differentiation.
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Nova Methodus pro Maximis et Minimis
"Nova Methodus pro Maximis et Minimis" is the first published work on the subject of calculus.
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Philosophy
Philosophy (from Greek φιλοσοφία, philosophia, literally "love of wisdom") is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language.
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Prime (symbol)
The prime symbol (′), double prime symbol (&Prime), triple prime symbol (‴), quadruple prime symbol (⁗) etc., are used to designate units and for other purposes in mathematics, the sciences, linguistics and music.
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Quotient
In arithmetic, a quotient (from quotiens "how many times", pronounced) is the quantity produced by the division of two numbers.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Robert Recorde
Robert Recorde (c.1512–1558) was a Welsh physician and mathematician.
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Robert Woodhouse
Robert Woodhouse (28 April 1773 – 23 December 1827) was an English mathematician.
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Second derivative
In calculus, the second derivative, or the second order derivative, of a function is the derivative of the derivative of.
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Separation of variables
In mathematics, separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation.
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Standard part function
In non-standard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers.
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University of Cambridge
The University of Cambridge (informally Cambridge University)The corporate title of the university is The Chancellor, Masters, and Scholars of the University of Cambridge.
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Velocity
The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.
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Vinculum (symbol)
A vinculum is a horizontal line used in mathematical notation for a specific purpose.
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William Oughtred
William Oughtred (5 March 1574 – 30 June 1660) was an English mathematician and Anglican clergyman.
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Redirects here:
D/dx, Df/dx, Dy dx, Dy/dx, Dydx, Leibnitz notation, Leibniz notation, Leibniz notation for differentiation, Leibniz notation for integration, Leibniz's notation for differentiation, Leibniz's notation for integration, Leibnizian notation.
References
[1] https://en.wikipedia.org/wiki/Leibniz's_notation
