Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series...
55 KB (6,777 words) - 16:36, 30 May 2025
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...
75 KB (8,785 words) - 22:41, 12 May 2025
In the history of calculus, the calculus controversy (German: Prioritätsstreit, lit. 'priority dispute') was an argument between mathematicians Isaac...
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Differential calculus Integral calculus Multivariable calculus Fractional calculus Differential Geometry History of calculus Important publications in calculus Continuous...
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Nonstandard analysis (section Applications to calculus)
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard...
31 KB (3,978 words) - 00:54, 22 April 2025
This is a list of calculus topics. Limit (mathematics) Limit of a function One-sided limit Limit of a sequence Indeterminate form Orders of approximation...
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Archives of American Mathematics Ethnomathematics History of algebra History of arithmetic History of calculus History of combinatorics History of the function...
139 KB (16,226 words) - 22:51, 22 May 2025
Pierre de Fermat (category History of calculus)
infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest...
22 KB (2,384 words) - 19:57, 27 May 2025
Leibniz's notation (category History of calculus)
dy dx d2y dx2 In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses...
24 KB (3,099 words) - 02:27, 2 May 2025
Michel Rolle (category History of calculus)
"From cascades to calculus: Rolle's theorem". In Robson, Eleanor; Stedall, Jacqueline A. (eds.). The Oxford handbook of the history of mathematics. Oxford...
8 KB (937 words) - 10:09, 15 July 2023
Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of shape...
39 KB (6,577 words) - 14:32, 2 June 2025
Fluxion (category History of calculus)
treatise, Method of Fluxions. Fluxions and fluents made up Newton's early calculus. Fluxions were central to the Leibniz–Newton calculus controversy, when...
5 KB (687 words) - 03:31, 21 February 2025
Augustin-Louis Cauchy (category History of calculus)
mathematician, engineer, and physicist. He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered...
42 KB (5,401 words) - 13:56, 31 March 2025
Infinitesimal (category History of calculus)
numbers were introduced in the development of calculus, in which the derivative was first conceived as a ratio of two infinitesimal quantities. This definition...
37 KB (5,092 words) - 16:24, 23 May 2025
Integral symbol (category History of calculus)
to denote integrals and antiderivatives in mathematics, especially in calculus. ∫ (Unicode), ∫ {\displaystyle \displaystyle \int } (LaTeX) The notation...
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In calculus, the method of normals was a technique invented by Descartes for finding normal and tangent lines to curves. It represented one of the earliest...
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for infinitesimal calculus. The transfer principle provides a mathematical implementation of the law of continuity in the context of the hyperreal numbers...
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related fields, Malliavin calculus is a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic...
16 KB (2,660 words) - 13:14, 11 May 2025
Cours d'analyse (category History of calculus)
("Analysis Course" in English) is a seminal textbook in infinitesimal calculus published by Augustin-Louis Cauchy in 1821. The article follows the translation...
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study of infinite series, calculus, trigonometry, geometry and algebra. He was the first to use infinite series approximations for a range of trigonometric...
32 KB (3,695 words) - 21:17, 14 April 2025
Cavalieri's principle (redirect from Method of indivisibles)
the history of calculus. The indivisibles were entities of codimension 1, so that a plane figure was thought as made out of an infinite number of 1-dimensional...
15 KB (1,966 words) - 13:34, 1 May 2025
fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at every point...
31 KB (4,883 words) - 12:15, 2 May 2025
Mathematical analysis (redirect from History of mathematical analysis)
context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis...
45 KB (4,391 words) - 07:02, 23 April 2025
Derivative (redirect from Derivative (calculus))
India, ISBN 9788174464507 Cajori, Florian (1923), "The History of Notations of the Calculus", Annals of Mathematics, 25 (1): 1–46, doi:10.2307/1967725, hdl:2027/mdp...
57 KB (7,280 words) - 04:41, 1 June 2025
Guillaume de l'Hôpital (category History of calculus)
differential calculus. Several editions and translations to other languages were published and it became a model for subsequent treatments of calculus. L'Hôpital...
11 KB (1,194 words) - 23:47, 9 February 2025
In dentistry, calculus or tartar is a form of hardened dental plaque. It is caused by precipitation of minerals from saliva and gingival crevicular fluid...
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Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...
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Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...
22 KB (2,135 words) - 04:00, 8 April 2025
The Analyst (redirect from Ghosts of departed quantities)
direct attack on the foundations of calculus, specifically on Isaac Newton's notion of fluxions and on Leibniz's notion of infinitesimal change. From his...
18 KB (2,065 words) - 07:11, 18 February 2025
mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous...
25 KB (3,981 words) - 00:52, 10 February 2025