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Differential calculus

Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.

Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.

- In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It is one of the two...

- differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns...

- of mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology. In calculus, the differential represents a change in...

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

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

- Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

- In calculus, the differential represents the prin****l part of the change in a function y = f(x) with respect to changes in the independent variable. The...

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

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

- Differential Equations Strang, Gilbert (1991), Calculus Stroyan, Keith D. (1997), A Brief Introduction to Infinitesimal Calculus Wikibooks, Calculus Derivativeat...

- differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns...

- of mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology. In calculus, the differential represents a change in...

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

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

- Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

- In calculus, the differential represents the prin****l part of the change in a function y = f(x) with respect to changes in the independent variable. The...

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

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

- Differential Equations Strang, Gilbert (1991), Calculus Stroyan, Keith D. (1997), A Brief Introduction to Infinitesimal Calculus Wikibooks, Calculus Derivativeat...

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