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  2. Glossary of calculus - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_calculus

    differential calculus Is a subfield of calculus [30] concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus, the study of the area beneath a curve. [31] differential equation Is a mathematical equation that relates some function with its ...

  3. Lists of integrals - Wikipedia

    en.wikipedia.org/wiki/Lists_of_integrals

    Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful. This page lists some of the most common antiderivatives.

  4. Mathematical notation - Wikipedia

    en.wikipedia.org/wiki/Mathematical_notation

    Letters are typically used for naming—in mathematical jargon, one says representing—mathematical objects.The Latin and Greek alphabets are used extensively, but a few letters of other alphabets are also used sporadically, such as the Hebrew ⁠ ⁠, Cyrillic Ш, and Hiragana よ.

  5. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign; Trigonometric substitution; Partial fractions in integration. Quadratic integral; Proof that 22/7 exceeds π; Trapezium rule; Integral of the secant function ...

  6. List of derivatives and integrals in alternative calculi

    en.wikipedia.org/wiki/List_of_derivatives_and...

    There are many alternatives to the classical calculus of Newton and Leibniz; for example, each of the infinitely many non-Newtonian calculi. [1] Occasionally an alternative calculus is more suited than the classical calculus for expressing a given scientific or mathematical idea.

  7. Umbral calculus - Wikipedia

    en.wikipedia.org/wiki/Umbral_calculus

    The method is a notational procedure used for deriving identities involving indexed sequences of numbers by pretending that the indices are exponents.Construed literally, it is absurd, and yet it is successful: identities derived via the umbral calculus can also be properly derived by more complicated methods that can be taken literally without logical difficulty.

  8. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value

  9. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.