Namespaces
Variants
Actions

Difference between revisions of "Leibniz series"

From Encyclopedia of Mathematics
Jump to: navigation, search
m
m
 
Line 1: Line 1:
 +
{{MSC|40A05}}
 
{{TEX|done}}
 
{{TEX|done}}
  
Line 8: Line 9:
  
 
====References====
 
====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  K. Knopp,  "Theorie und Anwendung der unendlichen Reihen" , Springer  (1964)  (English translation: Blackie, 1951 &amp; Dover, reprint, 1990)</TD></TR></table>
+
{|
 +
|-
 +
|valign="top"|{{Ref|Kn}}|| K. Knopp,  "Theorie und Anwendung der unendlichen Reihen" , Springer  (1964)  (English translation: Blackie, 1951 &amp; Dover, reprint, 1990)
 +
|-
 +
|}

Latest revision as of 20:19, 9 December 2013

2020 Mathematics Subject Classification: Primary: 40A05 [MSN][ZBL]

The alternating series \begin{equation} 1-\frac13+\frac15-\frac17+\dots, \end{equation} which converges to $\pi/4$. It was considered by G. Leibniz in 1673–1674.

References

[Kn] K. Knopp, "Theorie und Anwendung der unendlichen Reihen" , Springer (1964) (English translation: Blackie, 1951 & Dover, reprint, 1990)
How to Cite This Entry:
Leibniz series. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Leibniz_series&oldid=30912
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article