13 relations: Alternating series, Cambridge University Press, Cauchy's convergence test, Convergent series, Dirichlet's test, Dover Publications, E. T. Whittaker, G. N. Watson, Gottfried Wilhelm Leibniz, Konrad Knopp, Mathematical analysis, Monotone convergence theorem, Monotonic function.
Alternating series
In mathematics, an alternating series is an infinite series of the form with an > 0 for all n.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Cauchy's convergence test
The Cauchy convergence test is a method used to test infinite series for convergence.
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Convergent series
In mathematics, a series is the sum of the terms of an infinite sequence of numbers.
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Dirichlet's test
In mathematics, Dirichlet's test is a method of testing for the convergence of a series.
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Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
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E. T. Whittaker
Edmund Taylor Whittaker FRS FRSE (24 October 1873 – 24 March 1956) was an English mathematician who contributed widely to applied mathematics, mathematical physics, and the theory of special functions.
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G. N. Watson
George Neville Watson (31 January 1886 – 2 February 1965) was an English mathematician, who applied complex analysis to the theory of special functions.
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Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.
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Konrad Knopp
Konrad Hermann Theodor Knopp (22 July 1882 – 20 April 1957) was a German mathematician who worked on generalized limits and complex functions.
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Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
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Monotone convergence theorem
In the mathematical field of real analysis, the monotone convergence theorem is any of a number of related theorems proving the convergence of monotonic sequences (sequences that are increasing or decreasing) that are also bounded.
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Monotonic function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.
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Leibniz criterion, Leibniz test, Leibniz's alternating series test, Leibniz's test.