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Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
Interpolation 6-23
or, alternatively,
2
00 0
22 222
34
00
22 2 2
5
0
1! 2!
(1) (1)
3! 4!
(1)(2)
5!
p
pp
yy y y
pp p p
yy
pp p
y
md d
md d
md
=+ +
−−
++
−−
++
(6.99)
It is con
venient to note that the differences that
appear in Stirling’
s Formula lie on a horizontal line
through y
0
, as shown below:
y
0
−−−− µdy
0
−−−− d
2
y
0
−−−− µd
3
y
0
−−−−
µd
3
y
0
−−−−
(6.100)
Then even-ordered differences d
2n
y
0
are
actual tabular values while the odd-ordered mean
differences
21 21 21
01212
1
()
2
nnn
yyymd d d
+++
=+
(6.101)
are averages of adjacent tabular values.
6.10.3 Bessel
7
Formula
We rewrite Gauss’s Backward Formula based on a
zig-zag line one unit below the earlier dotted line. ...
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Publisher Resources

ISBN: 9781299446557Publisher Website