10178
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Visualizing Euler's Constant
Euler's constant is
.
For each
,
is the sum of the areas of the rectangles in the graph, and
is the area under the curve
over the closed interval
. Therefore
is the area of the green region.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
THINGS TO TRY
Gamepad Controls
SNAPSHOTS
DETAILS
Reference: D. W. Temple, "A Geometric Look at Sequences that Converge to Euler's Constant,"
The College Mathematics Journal
,
37
(2), 2006 pp. 128–131.
RELATED LINKS
Euler–Mascheroni Constant
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Visualizing Euler's Constant
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VisualizingEulersConstant/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Euler's Generating Function for the Partition Numbers
George Beck
Euler-Maclaurin Summation Formula
Sam Nicoll
Visual Proof of Two Integrals
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
A Visualization of Logarithms
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Visual Computation of an Integral
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Visual Computation of an Integral (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Euler Product for the Zeta Function
S. M. Blinder
Triangle Inequality for Functions
Crista Arangala
Comparing Fourier Series and Fourier Transform
Martin Jungwith
Sum of a Telescoping Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Related Topics
Analysis
Area
Integrals
Number Theory
Series
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+