Calculus

independently developed vector calculus

Isaac Barrow was an English mathematician who developed a method of determining tangents that closely approached the methods of calculus

She is credited with writing the first book discussing both differential and integral calculus

in the field of infinitesimal mathematics

In 1816, Babbage, Herschel and Peacock published a translation from French of the lectures of Sylvestre Lacroix, which was then the state-of-the-art calculus textbook.

developed methods which were important in setting the scene for the invention of the differential and integral calculus

Jyeṣṭhadeva (Malayalam: ജ്യേഷ്ഠദേവൻ; c. 1500, c. 1575) was an astronomer-mathematician of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama (c. 1350, c. 1425).

With Cavalieri, Fermat, Vincentio, Kepler, Torricelli and Valerio, Lalouvere can be considered one of the forerunners of modern integral calculus.

In 1695 he was involved in a controversy over the foundations of infinitesimal calculus with Leibniz.

Rolle is best known for Rolle's theorem in differential calculus.

introducing calculus into Japanese mathematics

He is best known for his invention of the barometer, but is also known for his advances in optics and work on the method of indivisibles.

of solids, which he accomplished, in some of the simpler cases, by an original method which he called the "Method of Indivisibles"; but he lost much of the credit of the discovery as he kept his method for his own use, while Bonaventura Cavalieri published

This book was a first systematic exposition of differential calculus.

Takebe played a critical role in the development of the Enri (円理, "circle principle") - a crude analogon to the western calculus.

And establishing two properties of polynomial roots known as Hudde's rules, that point toward algorithms of calculus.

It was through his studies on this curve that Grandi helped introduce Leibniz' ideas on calculus to Italy.

From 1654 to 1667, he devoted himself to the study of geometry, continuing the research of Cavalieri and Evangelista Torricelli based on the method of Indivisibles.

directly stimulated the teaching of calculus in military academies

introduction of the teaching of calculus

He is noted as one of the founders of the integral, and author of Epistola de Transmutatione Curvarum Linearum in Rectus [On the Transformation of Curves into Straight Lines] (1659).

his book Geometriae Pars Universalis (1668) Gregory gave both the first published statement and proof of the fundamental theorem of the calculus (stated from a geometric point of view, and only for a special class of the curves considered by later versions

A friend of Isaac Newton, he wrote several minor works about the new calculus.

He was the author of one of the first books on integral calculus.

geometry a basic concept from differential geometry, it represented a major advance in what would become infinitesimal

Sluse contributed to the development of calculus, focusing upon spirals, tangents, turning points and points of inflection.

Stancari was awarded the chair of infinitesimal calculus in Bologna in 1708.

and rendering easier the writings of Galileo Galilei and Christiaan Huygens, and Principia of Newton; An Institution of Fluxions, containing the First Principles, Operations, and Applications of that admirable Method, as invented by Sir Isaac Newton

He wrote on hydrography, the measurement of tonnage, differential calculus.

de maximis et minimis (1666) in which he studies the maxima of functions of the form xm(a−x)n and tangents to curves with equation ym=kxn, using methods that are an early form of

In 1704, appeared his Treatise on Fluxions, or an Introduction to Mathematical Philosophy, London, the first English work explaining Isaac Newton's method of infinitesimals.

Mathematical Treatise: Containing a System of Conic-sections; with the doctrine of fluxions and fluents, applied to various subjects (1736) A Treatise Containing the Elementary Part of Fortification (1746) Elements of Mathematics (1748, also titled A System

He is best known for his work on the theory of equations, algebraic analysis, plain and spherical trigonometry, analytical geometry, and differential calculus.

In 1800, he published a calculus treatise where the first known statement of what is currently known as Faà di Bruno's formula appears, 55 years before the first published paper of Francesco Faà di Bruno on that topic.

Paoli worked mainly in calculus and his applications to optics and mechanics.

Maclaurin used Taylor series to characterize maxima, minima, and points of inflection for infinitely differentiable functions in his Treatise of Fluxions.

He was professor of Matematica sublime (infinitesimal calculus) in Pavia.

and from 1754 onwards communicated to the Royal Society valuable investigations on points connected with the fluxionary

He wrote a number of textbooks on differential calculus.

Principia calculi differentialis a fundamentis novis iisque solidioribus deducta

Nevertheless, his brilliance resulted in his publication Treatise on Fluxions at the age of 19, and his enthusiasm for botany resulted in a published survey of Cambridge flora a few years later.

for whom he acted as intermediary in the Leibniz-Newton calculus controversy

worked extensively on differential calculus

seven text books on algebra, geometry, mechanics and calculus

developed a series of ideas en route to infinitesimal method

The Doctrine of Fluxions founded on Sir Isaac Newton's Method, 1736.

the principles of differential calculus

he had discovered what he called the antecedental calculus in 1774

algebraic equations and their relation to integral and differential calculus

Another remarkable contribution to mathematics made by Eudoxus was his early work on integration using his method of exhaustion.

Identità del calcolo differenziale con quello delle serie

In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions z and y

theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field

In calculus, the squeeze theorem (also known as the sandwich theorem, the two policeman and a drunk theorem among other names) is

les for computing the derivative of a function in calculus.

In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functio

In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean spac

e limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular

In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f.

In calculus, Cavalieri's quadrature formula, named for 17th-century Italian mathematician Bonaventura Cavalieri, is the integral ∫

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that

In calculus, the integral of the secant function can be evaluated using a variety of methods and there are multiple ways of expres

who is given partial credit for the development of infinitesimal calculus

was a pivotal figure in the development of calculus

As a mathematician, he popularised Stokes' theorem in vector calculus and contributed to the theory of asymptotic expansions.

Infinitesimal numbers were introduced in the development of calculus, in which the derivative was first conceived as a ratio of two infinitesimal quantities.

Calculus and Analysis Calculus

Calculus and Analysis Calculus

In mathematics, the Riemann-Stieltjes integral is a generalization of the Riemann integral

In mathematics, a Borwein integral is an integral whose unusual properties were

In mathematics, the symmetric derivative is an operation generalizing the ordinary derivative.

formula is a formula for the difference between an integral and a closely related sum. It can be used to

Bonaventura Cavalieri was an Italian mathematician who developed a method of indivisibles which became a factor in the development of the integral calculus.

Brook Taylor was an English mathematician who added to mathematics a new branch now called the 'calculus of finite differences', invented integration by parts, and discovered the celebrated formula known as Taylor's expansion.