# trigonometric series

trigonometric series
an infinite series involving sines and cosines of increasing integral multiples of a variable.

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Universalium. 2010.

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• Trigonometric series — In mathematics, a trigonometric series is any series of the form:: frac{1}{2}A {o}+displaystylesum {n=1}^{infty}(A {n} cos{nx} + B {n} sin{nx}). Fourier Series and Orthogonal Functions By Harry F. Davis. Page 89] It is called a Fourier series… …   Wikipedia

• trigonometric series — noun : a mathematical series whose terms proceed by sines and cosines of integral multiples of a variable angle * * * Math. an infinite series involving sines and cosines of increasing integral multiples of a variable. * * * trigonometric series …   Useful english dictionary

• trigonometric series — noun Any series of the form …   Wiktionary

• Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

• Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions …   Wikipedia

• Trigonometric integral — Si(x) (blue) and Ci(x) (green) plotted on the same plot. In mathematics, the trigonometric integrals are a family of integrals which involve trigonometric functions. A number of the basic trigonometric integrals are discussed at the list of… …   Wikipedia

• Trigonometric polynomial — In the mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin(nx) and cos(nx) with n a natural number. The coefficients may be taken as real numbers, for… …   Wikipedia

• Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

• Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… …   Wikipedia

• infinite series — Math. a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence. [1790 1800] * * * In mathematics, the sum of infinitely many numbers, whose relationship …   Universalium