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Look up calculus in Wiktionary, the free dictionary. In mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis. In Latin, the word calculus means “small pebble”, (the diminutive of calx, meaning "stone"), a meaning which still ...
Institutiones calculi differentialis. Institutiones calculi differentialis ( Foundations of differential calculus) is a mathematical work written in 1748 by Leonhard Euler and published in 1755. It lays the groundwork for the differential calculus. It consists of a single volume containing two internal books; there are 9 chapters in book I, and ...
History of calculus. Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Many elements of calculus appeared in ancient Greece, then in China and the Middle East, and still later again in medieval Europe and in India.
The mathematical manuscripts of Karl Marx are a manuscript collection of Karl Marx 's mathematical notes where he attempted to derive the foundations of infinitesimal calculus from first principles. The notes that Marx took have been collected into four independent treatises: On the Concept of the Derived Function, On the Differential, On the ...
Method of Fluxions ( Latin: De Methodis Serierum et Fluxionum) [1] is a mathematical treatise by Sir Isaac Newton which served as the earliest written formulation of modern calculus. The book was completed in 1671 and posthumously published in 1736. [2]
v. t. e. The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations ...
Vector calculus studies various differential operators defined on scalar or vector fields, which are typically expressed in terms of the del operator ( ∇ ), also known as "nabla". The three basic vector operators are: [2] Measures the rate and direction of change in a scalar field. Maps scalar fields to vector fields.
Calculus on Manifolds is a brief monograph on the theory of vector-valued functions of several real variables ( f : Rn→Rm) and differentiable manifolds in Euclidean space. In addition to extending the concepts of differentiation (including the inverse and implicit function theorems) and Riemann integration (including Fubini's theorem) to ...
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