Name: Divergent Series (en Inglés)
SKU: 66994064
Price: 179120.00 CLP
Availability: InStock
ISBN: 9786131107313

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Betascript Publishing

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Inglés

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Tapa Blanda

ISBN13

9786131107313

Divergent Series (en Inglés)

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Reseña del libro "Divergent Series (en Inglés)"

In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit. If a series converges, the individual terms of the series must approach zero. Thus any series in which the individual terms do not approach zero diverges. However, convergence is a stronger condition: not all series whose terms approach zero converge. The simplest counter example is the harmonic series A summability method M is regular if it agrees with the actual limit on all convergent series. Such a result is called an abelian theorem for M, from the prototypical Abel's theorem. More interesting and in general more subtle are partial converse results, called tauberian theorems, from a prototype proved by Alfred Tauber. Here partial converse means that if M sums the series , and some side-condition holds, then was convergent in the first place; without any side condition such a result would say that M only summed convergent series (making it useless as a summation method for divergent series).