Numerical Mathematics and Computing
Sixth Edition
Ward Cheney & David Kincaid
Brooks/Cole: Engage Learning (c) 2008
Errata
-
Page 5, first displayed equations:
add equation number (1)
-
Page 7, last sentence:
reference equation number (2) not (1)
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Page 48, Example 2, Line 1:
Omit the first occurrence of "single-precision" to read:
"Determine the machine representation of the decimal number ..
-
Page 127, Line 9:
Omit $\ell_5$ to read:
...$\ell_3(x)$, and $\ell_4(x)$.
-
Page 140, Line -3 above Figure 4.4: Should read:
... as shown in Figure 4.3.
-
Page 144, Line -1 above pseudo-code:
Replace subscript $0$ with subscript $n$ to read:
... to evaluate $P^n_n(t)$ when ...
-
Page 144, Last line in pseudo-code:
Replace subscript $0n$ with subscript $nn$ to read:
\boldface{return} $S_{nn}$
-
Page 154, Line +2 in Solution after FIGURE 4.6:
Replace $(4,5)$ with $(4,6)$ to read:
... we added the points $(3,2)$, $(4,6)$, and $(1,12)$ ...
-
Page 156, Figure 4.9:
FIGURE 4.9,
Label should read: Chebyhev nodes of $T_9$.
-
Page 156, Figure 4.9:
Change x-axis from -5 to 5 to -1 to 1.
-
Page 156, Line 1, Should read:
The Chebyshev nodes of $T_9$ are obtained by taking equally-spaced
points
on the unit circle
and projecting them onto the horizontal axis, as in Figure 4.9.
-
Page 156, Figure 4.9:
Modify Figure 4.9 as shown
Leave center points above 0 and dashed line as is.
Move four points on right side of the semi-circle so that the
first four are equally spaced (20 degrees apart)
and the last one is half the distance (10 degrees),
with no point at the right end of the x-axis.
Repeat for the four points on the left side of the semi-circle.
Dashed lines and points on the x-axis are to be moved relative
to the above movement of points. See figure above.
Note:
Nine points on the semi-circle are
not all evenly spaced but at
10, 30, 50, 70, 90, 110, 130, 150, 170 degress (counterclockwise).
The points on the unit circle are
$(\cos \theta, \sin \theta)$ with $\theta = (2i+1)\pi/18$
and $i=0,1,2,\ldots,8$.
-
Page 167, 4th line from bottom:
Replace $h^5$ by $h^6$
-
Page 169,
Algorithm 2, Step 4:
Replace "0 \leq i" by "1 \leq i."
-
Page 173, Line 5:
Replace the superscript (v) by the superscript (5).
-
Page 175, Line 4:
Replace the superscript (v) by the superscript (5).
-
Page 198, first and third displayed equations:
Replace h by n (four times).
-
Page 210, first table: $\phi$ should be $\varphi$.
-
Page 217, second displayed equation, insert missing "1 =" to read:
$$\int_0^1 dx = 1 = A + B$$
-
Page 219, first displayed equation, replace limits of integral -1 to 1
with 0 to 1
-
Page 219,
first three displayed equations, replace ds with dx.
-
Page 235, THEOREM 2, WEIGHTED GAUSSIAN QUADRATURE THEOREM,
last displayed equation replace first $l_i$ with script $ell_i$
to match its second appearance in righthand integral.
-
Page 218, Line 9:
Linear mapping is missing an x.
Should read: $y = \frac12(b-a)x + \frac12(a + b)$
-
Page 272, Line 8:
Multiplier should be $a_{\ell_i, j}/a_{\ell_k, k)$
in both equations.
-
Page 274, Problem 13d:
Add symbol "a" indicating answer in back of book.
-
Page 333, line 6:
Sentence not complete:
add "is"
-
Page 340, Problem 10, last line of coefficient matrix:
Should be 4/3 -6 12
-
Page 341, Problem 11, last line of righthand-side matrix:
Should be 2.5
-
Page 536, pseudocode Coarse_Check, Line 9, should be:
per = 100*real(m)/real(i)
-
Page 637, Problem 15d:
Add symbol "a" indicating answer in back of book.
-
Page 731, Solution CPb 5.3.6:
Insert minus signs to read:
$-2/9 = -0.22222...$
-
Page 744, Problem B, 4g:
Should be $(63.72664)_8$
-
Page 753, column 1:
van der Vorst should be lower case "v"
-
Inside back cover (left side), integral formulas.
First $(a \neq 1)$ should be $(a \neq -1)$
and other two $(a \neq 1)$ yshould be $(a \neq 0)$
-
Inside back cover (right side), line 5:
smaller parens for $(x^2 < \pi^2/4)$
Student Solutions Manual for Numerical Mathematics and Computing
Sixth Edition
Ward Cheney & David Kincaid
Brooks/Cole: Engage Learning (c) 2008
Errata
-
Page 35, Solution 4.1.18, Line -1:
Should read:
$p(x) = 2 + x(-1 + (x-1)(1 + (x-3)(-2 + (x-2)(-1))))$
-
Page 55, Solution CPb 5.3.6:
$-2/9 = -0.22222...$
Instructor Solutions Manual for Numerical Mathematics and Computing
Sixth Edition
Ward Cheney & David Kincaid
Brooks/Cole: Engage Learning (c) 2008
Errata
-
Page 80, Solution 4.1.18, Line -1:
Should read:
$p(x) = 2 + x(-1 + (x-1)(1 + (x-3)(-2 + (x-2)(-1))))$
-
Page 123, Solution CPb 5.3.6:
$-2/9 = -0.22222...$
Acknowledgements:
We welcome comments and suggestions concerning either the textbook or solution
manuals. Send email to
Ward Cheney
or
David Kincaid .
We are grateful to the following individuals and others who have
send us email concerning typos and errors in the textbook or
solution manuals:
Jason S. Howell,
Daniel Kopelove,
Peter McNamara,
Roger Crawfis,
Fatih Celiker,
Victoria Interrante.