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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 — to apply to all uses of the source at once.
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.
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Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.
Calculus is also used to find approximate solutions to equations; in practice, it is the standard way to solve differential equations and do root finding in most applications. Examples are methods such as Newton's method , fixed point iteration , and linear approximation .
Stewart's theorem (plane geometry) Stinespring factorization theorem (operator theory) Stirling's theorem (mathematical analysis) Stokes's theorem (vector calculus, differential topology) Stolper–Samuelson theorem ; Stolz–Cesàro theorem ; Stone's representation theorem for Boolean algebras (mathematical logic)
In mathematics, the direct method in the calculus of variations is a general method for constructing a proof of the existence of a minimizer for a given functional, [1] introduced by Stanisław Zaremba and David Hilbert around 1900. The method relies on methods of functional analysis and topology. As well as being used to prove the existence of ...
The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i The graph of y = W(x) for real x < 6 and y > −4.The upper branch (blue) with y ≥ −1 is the graph of the function W 0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W −1.
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