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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.
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 ...
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.
Integral House in 2016. Integral House is a private residence located at 194 Roxborough Drive in the Rosedale neighbourhood of Toronto, Ontario, Canada. [1] The project was commissioned by mathematician James Stewart as a residence incorporating a performance space, and was designed by Brigitte Shim and Howard Sutcliffe of the Toronto architectural firm Shim-Sutcliffe Architects.
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 : The lemma asserts that the existence of this derivative implies the existence of a function such that. for sufficiently small but non-zero .
Template documentation. This is a specific-source template for the calculus textbooks of James Stewart (mathematician) . Transcluding specific-source templates rather than writing out citations reduces code duplication across articles and allows improvements — such as adding a zbMATH number or wikilinking the name of an author or editor ...
Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).
Calculus. In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. [1][2][3] Let , where both f and g are differentiable and The quotient rule states that the derivative of h(x) is. It is provable in many ways by using other derivative rules.
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