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  2. James Stewart (mathematician) - Wikipedia

    en.wikipedia.org/wiki/James_Stewart_(mathematician)

    University of London. Doctoral advisor. Lionel Cooper. James Drewry Stewart, MSC (March 29, 1941 – December 3, 2014) was a Canadian mathematician, violinist, and professor emeritus of mathematics at McMaster University. Stewart is best known for his series of calculus textbooks used for high school, college, and university-level courses.

  3. Multivariable calculus - Wikipedia

    en.wikipedia.org/wiki/Multivariable_calculus

    Calculus. Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables ( multivariate ), rather than just one. [1]

  4. Second partial derivative test - Wikipedia

    en.wikipedia.org/wiki/Second_partial_derivative_test

    Second partial derivative test. The Hessian approximates the function at a critical point with a second-degree polynomial. In mathematics, the second partial derivative test is a method in multivariable calculus used to determine if a critical point of a function is a local minimum, maximum or saddle point .

  5. 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 ...

  6. Multiple integral - Wikipedia

    en.wikipedia.org/wiki/Multiple_integral

    In mathematics (specifically multivariable calculus ), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z) . Integrals of a function of two variables over a region in (the real-number plane) are called double integrals, and integrals of a function of three variables over a ...

  7. Fundamental increment lemma - Wikipedia

    en.wikipedia.org/wiki/Fundamental_increment_lemma

    Fundamental increment lemma. In single-variable differential calculus, the fundamental increment lemma is an immediate consequence of the definition of the derivative of a function at a point : {\displaystyle f' (a)=\lim _ {h\to 0} {\frac {f (a+h)-f (a)} {h}}.} The lemma asserts that the existence of this derivative implies the existence of a ...

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