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  2. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line equals the derivative of the function at the marked point. In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. [1] It is one of the two traditional divisions of ...

  3. Grigorii Fikhtengol'ts - Wikipedia

    en.wikipedia.org/wiki/Grigorii_Fikhtengol'ts

    Fikhtengol'ts was one of the founders of the Leningrad school of real analysis. He was born in Odessa, Russian Empire in 1888, and graduated Odessa University in 1911. He authored a three-volume textbook titled "A Course of Differential and Integral Calculus". The textbook covers mathematical analysis of functions of one real variable ...

  4. Calculus Made Easy - Wikipedia

    en.wikipedia.org/wiki/Calculus_Made_Easy

    Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson. The original text continues to be available as of 2008 from Macmillan and Co., but a 1998 update by Martin Gardner is available from St. Martin's Press which provides an introduction; three preliminary chapters explaining functions ...

  5. Notation for differentiation - Wikipedia

    en.wikipedia.org/wiki/Notation_for_differentiation

    A function f of x, differentiated once in Lagrange's notation. One of the most common modern notations for differentiation is named after Joseph Louis Lagrange, even though it was actually invented by Euler and just popularized by the former. In Lagrange's notation, a prime mark denotes a derivative.

  6. 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 ...

  7. Frank J. Ayres - Wikipedia

    en.wikipedia.org/wiki/Frank_J._Ayres

    Biography. Ayres earned his Bachelor of Science degree from Washington College, Maryland and his master's and doctoral degrees from the University of Chicago. He taught during 1921–4 at Ogden College and another four years at Texas A&M before coming to Dickinson College in 1928. He was promoted to associate professor in June, 1935.

  8. Lists of integrals - Wikipedia

    en.wikipedia.org/wiki/Lists_of_integrals

    More detail may be found on the following pages for the lists of integrals: Gradshteyn, Ryzhik, Geronimus, Tseytlin, Jeffrey, Zwillinger, and Moll 's (GR) Table of Integrals, Series, and Products contains a large collection of results. An even larger, multivolume table is the Integrals and Series by Prudnikov, Brychkov, and Marichev (with ...

  9. Introductio in analysin infinitorum - Wikipedia

    en.wikipedia.org/wiki/Introductio_in_analysin...

    The Introduction is meant as a survey of concepts and methods in analysis and analytic geometry preliminary to the study of the differential and integral calculus. [Euler] made of this survey a masterly exercise in introducing as much as possible of analysis without using differentiation or integration.