10 ENGLISH BOOKS RELATING TO «STIRLING'S FORMULA»
Discover the use of
Stirling's formula in the following bibliographical selection. Books relating to
Stirling's formula and brief extracts from same to provide context of its use in English literature.
1
James Stirling’s Methodus Differentialis: An Annotated ...
Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts.
James Stirling, Ian Tweddle, 2003
2
Fundamentals of Applied Probability and Random Processes
An approximate formula for large values of n, called the Stirling's formula, is given
by n!$ ffiffiffiffiffiffiffiffi 2πn p n e n 1⁄4 ffiffiffiffiffiffiffiffi 2πn p nneÀn (1.26) wheree1⁄
42.71828... is the base of the natural logarithms and the notationa$b means that
...
3
Higher Engineering Mathematics
2 + □• Note 1: It is advised to use Stirling's formula for \q\ £ 0.25 and Bessel's
formula for 0.25 < q < 0.75. Note 2: Stirling's formula consists of the even
differences along the central line and mean of the odd differences just above and
below the ...
4
Measure Solar System Objects and Their Movements for Yourself!
At the time of writing, you can find the derivation of this formula on Wikipedia at
http://en. wikipedia.org/wiki/Stirling%27s_formula, or in the book by Mathews and
Walker.45 Stirling's formula is n! % ffiffiffiffiffiffiffiffi 2pn p n e n ðB:6Þ where e is ...
5
CRC Concise Encyclopedia of Mathematics, Second Edition
Stirling's Formula STIRLING'S APPROXIMATION, STIRLING'S SERIES Stirling's
Series The ASYMPTOTIC SERIES for the GAMMA FUNCTION is given by 1 1 +
12z + 288z2 139 571 51840z3 2488320z4 (Sloane's A001163 and A001164).
6
Introduction to Numerical Analysis
If the difference table ends with odd order differences, Stirling's formula is, in
general, more accurate than Bessel's formula, and in this case Stirling's formula
gives particularly good results for \u\£ 1/4. 3. If the difference table em's with even
...
7
Pharmacometrics: The Science of Quantitative Pharmacology
Another option is to approximate the factorial using Stirling's formula, which is
based on the gamma function. The formula is as ... and (27.14) yl=l for y=0
NONMEM code for Stirling's formula would thus appear as IF(DV.EQ.0) THEN
FACT=l ...
Ene I. Ette, Paul J. Williams, 2013
8
Invitation to Classical Analysis
Implicit in the preceding calculations is an important generalization of Stirling's
formula n!∼ √ 2πnn+ 1 2 e−n , n→∞, to the gamma function. Because Γ(n)=(n −
1)! and ( 1 − 1n ) n → 1/e, an equivalent form is Γ(n)∼ √ 2πnn−12e−n, n→∞.
9
Computer Programming and Numerical Analysis Revised Edition ...
(s2-(n-l)2)A2„ 2 + (2n)\ A V- (12.101) Stirling's formula terminated with a
difference of even order is also equivalent to Lagrange's formula since both
Gaussian formulae use the points x0, x±i, x±2, . . . x±n. Stirling's formula gives
better results for ...
10
More Fallacies, Flaws & Flimflam:
A colleague of his, a chemist, once showed him how to use Stirling's formula and
logarithms to derive a weaker result known as Stirling's approximation (often
used in statistical mechanics). This is derived as follows. Apply the logarithm to
both ...
