2017-07-30T07:42:20+03:00[Europe/Moscow] en true Fréchet derivative, Differential calculus, Fermat's theorem (stationary points), Derivative, Leibniz integral rule, Differentiable function, Directional derivative, Gradient, Stationary point, Differential operator, Time derivative, Mean value theorem, Deal.II flashcards
Differential calculus

Differential calculus

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  • Fréchet derivative
    In mathematics, the Fréchet derivative is a derivative defined on Banach spaces.
  • Differential calculus
    In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change.
  • Fermat's theorem (stationary points)
    In mathematics, Fermat's theorem (also known as Interior extremum theorem) is a method to find local maxima and minima of differentiable functions on open sets by showing that every local extremum of the function is a stationary point (the function derivative is zero in that point).
  • Derivative
    The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable).
  • Leibniz integral rule
    In calculus, Leibniz's rule for differentiation under the integral sign, named after Gottfried Leibniz, states that for an integral of the form then for x in (x0, x1) the derivative of this integral is thus expressible as provided that f and its partial derivative fx are both continuous over a region in the form [x0, x1] × [y0, y1].
  • Differentiable function
    In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
  • Directional derivative
    In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v.
  • Gradient
    In mathematics, the gradient is a generalization of the usual concept of derivative to functions of several variables.
  • Stationary point
    In mathematics, particularly in calculus, a stationary point or critical point of a differentiable function of one variable is a point of the domain of the function where the derivative is zero (equivalently, the slope of the graph at that point is zero).
  • Differential operator
    In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
  • Time derivative
    A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function.
  • Mean value theorem
    In mathematics, the mean value theorem states, roughly, that given a planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints.
  • Deal.II
    deal.II is a free, open source library to solve partial differential equations using the finite element method.