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  2. Fermat's theorem (stationary points) - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem...

    Fermat's theorem is central to the calculus method of determining maxima and minima: in one dimension, one can find extrema by simply computing the stationary points (by computing the zeros of the derivative), the non-differentiable points, and the boundary points, and then investigating this set to determine the extrema.

  3. Fundamental theorem of calculus - Wikipedia

    en.wikipedia.org/.../Fundamental_theorem_of_calculus

    Calculus. The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations ...

  4. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    If is expressed in radians: ⁡ = ⁡ ⁡ = ⁡ These limits both follow from the continuity of sin and cos. ⁡ =. [7] [8] Or, in general, ⁡ =, for a not equal to 0. ⁡ = ⁡ =, for b not equal to 0.

  5. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Look up calculus in Wiktionary, the free dictionary. In mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis. In Latin, the word calculus means “small pebble”, (the diminutive of calx, meaning "stone"), a meaning which still ...

  6. Elementary Calculus: An Infinitesimal Approach - Wikipedia

    en.wikipedia.org/wiki/Elementary_Calculus:_An...

    Dover. Publication date. 1976. Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals. The book is available freely online and is currently published by Dover.

  7. Mathematical manuscripts of Karl Marx - Wikipedia

    en.wikipedia.org/wiki/Mathematical_manuscripts...

    The mathematical manuscripts of Karl Marx are a manuscript collection of Karl Marx 's mathematical notes where he attempted to derive the foundations of infinitesimal calculus from first principles. The notes that Marx took have been collected into four independent treatises: On the Concept of the Derived Function, On the Differential, On the ...

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