In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions...

called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns...

In mathematics, differential refers to several related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal...

Boolean differential calculus (BDC) (German: Boolescher Differentialkalkül (BDK)) is a subject field of Boolean algebra discussing changes of Boolean...

otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has...

General Leibniz rule Mean value theorem Logarithmic derivative Differential (calculus) Related rates Regiomontanus' angle maximization problem Rolle's...

multiple integration. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively...

a stochastic differential equation; Hörmander's original proof was based on the theory of partial differential equations. The calculus has been applied...

publications of Leibniz and Newton. In addition to the differential calculus and integral calculus, the term is also used widely for naming specific methods...

fractional differential operators in electrical transmission line analysis circa 1890. The theory and applications of fractional calculus expanded greatly...

exterior calculus Élie Cartan, the influential geometer Shiing-Shen Chern summarizes the role of tensor calculus: In our subject of differential geometry...

of Mathematics). Differential forms provide an approach to multivariable calculus that is independent of coordinates. A differential k-form can be integrated...

differences. The study of differential calculus is unified with the calculus of finite differences in time scale calculus. The arithmetic derivative...

Discrete calculus has two entry points, differential calculus and integral calculus. Differential calculus concerns incremental rates of change and the...

manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold...

quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra A {\displaystyle A} over...

whose potentialities he fully understood; of equal certainty, differential and integral calculus, the fount of great developments flowing continuously from...

mathematics, the Gateaux differential or Gateaux derivative is a generalization of the concept of directional derivative in differential calculus. Named after René...

In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...

modern name for what used to be called the absolute differential calculus (the foundation of tensor calculus), developed by Gregorio Ricci-Curbastro in 1887–1896...

In mathematics, the derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical...

calculus, entitled Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes. This book was a first systematic exposition of differential calculus...

operator Curl (mathematics) Fractional calculus Invariant differential operator Differential calculus over commutative algebras Lagrangian system Spectral...

"Definition of DIFFERENTIAL CALCULUS". www.merriam-webster.com. Retrieved 2018-09-26. "Integral Calculus - Definition of Integral calculus by Merriam-Webster"...

invented the method of solving differential equations known as variation of parameters, applied differential calculus to the theory of probabilities and...

are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming...

the topic of: Calculus/Ordinary differential equations Wikimedia Commons has media related to Ordinary differential equations. "Differential equation, ordinary"...

In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued...

In mathematics the differential calculus over commutative algebras is a part of commutative algebra based on the observation that most concepts known...

stochastic differential equations. Another approach was later proposed by Russian physicist Stratonovich, leading to a calculus similar to ordinary calculus. The...