The purpose of Series Math Study (SMS) website is to explore and develop the beauty of series formulas that have connections to special mathematical constants. Some series can be used to calculate ever more accurate values of some special math constants as the desire that has challenged mathematicians for many centuries.
| July 03, 2010 | ||||
|
Sums in which the Square Root of Two and Other Constants Appear are Given by
|
||||
| June 27, 2010 | ||||
A Surprising Sum in which Appears is Given by |
||||
|
|
||||
| April 18, 2010 | ||||
| Some Special Infinite Series | ||||
|
||||
| February 09, 2010 | ||||
| Sums of Reciprocals of Two-Term Squares Table | ||||
|
|
||||
|
Sums of Reciprocals of Two-Term Cubes Table
|
||||
| January 30, 2010 | ||||
|
Series in Limit Form |
||||
|
Given n is a positive integer. The limits of the following series are found in a closed form as n tends to infinity.
|
||||
| January 17, 2010 | ||||
|
Sequences and Series Art -- A Generic Infinite Series Found Linking Three Special Sequences '2, 30, 420, ...', '15, 209, 2911, ...', and '17, 241, 3361, ...' with the Constant For any positive integer
where
and
|
||||
| January 08, 2010 | ||||
Two Beautiful Series in Connection with zeta  and Pi Constants
|
||||
| January 01, 2010 | ||||
|
A Curious Series in Connection with Euler-Mascheroni, Pi Constants For positive integer n,
The above series can be transformed into another form, namely
Another curious series is found in connection to Pi
(Happy New Year 2010) |
||||
.
.
.
,
are 
, 
,
,
,
.
.
.
, where
is Euler-Mascheroni constant.
.
.Go down deep enough into anything and you will find mathematics. (Dean Schlicter)
