INFINITE SERIES


Meaning of INFINITE SERIES in English

In mathematics, the sum of infinitely many numbers, whose relationship can typically be expressed as a formula or a function .

An infinite series that results in a finite sum is said to converge (see convergence ). One that does not, diverges. Mathematical analysis is largely taken up with studying the conditions under which a given function will result in a convergent infinite series. Such series (e.g., the Fourier series ) are particularly useful in solving differential equations .

Britannica English dictionary.      Английский словарь Британика.