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Mathematical
Principles for
Scientific Computing and Visualization
by Gerald
Farin & Dianne
Hansford
published by A
K Peters, Ltd., May 2008
ISBN: 978-1-56881-321-9
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| Chapter
2 |
Computational
Basics |
Posted |
Page
7,
Section 2.2 |
There
is an inconsistency in the description of the IEEE standard
for 64-bit number representation. The range of exponents for
64-bit numbers is -308 to 308. The range given (-38 to 38)
is that of 32-bit numbers.
Found
by Mark McLaughlin, Walt Disney Animation Studios
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8/26/08 |
Page
8,
Section 2.2,
Example 2 |
Strictly
speaking the truncated polynomial would be of degree 2n-1
although it would only have n terms.
Found
by Mark McLaughlin, Walt Disney Animation Studios
|
8/26/08 |
Page
8,
Section 2.3,
Example 3 |
The equation
shown, 1/10 = .0001100110011..., might be unclear.
This expression for 1/10 is
1/2^4 + 1/2^5 + 1/2^8 + 1/2^9 + 1/2^{12} + 1/2^{13} ...
or 1/16 + 1/32 + 1/256 + 1/512 + 1/4096 + 1/8192 ...
Found
by Mark McLaughlin, Walt Disney Animation Studios
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8/26/08 |
| Chapter
3 |
Coordinate
Systems |
Posted |
| Page
14 |
Figure
3.1 clarification: each grid element represents 1/5th in x
and y.
Found
by Mark McLaughlin, Walt Disney Animation Studios
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9/15/08 |
| Page
20 |
Should be "20 latitudinal bands" rather than "longitudinal pieces" |
9/1/16 |
| Chapter
4 |
Background:
Numerical Linear Algebra |
Posted |
| Page
31 |
Last paragraph
of section 4.2.
Note that m <= n.
Found
by Mark McLaughlin, Walt Disney Animation Studios
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9/15/08 |
| Chapter
5 |
Solving
Linear Systems |
Posted |
| Page
47 |
The clause
"this the norm of choice" should be "this is the norm of choice"
.
Found
by Mark McLaughlin, Walt Disney Animation Studios
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9/15/08 |
| Page
51 |
First
paragraph: "This is, will the sequence..." should be "That
is, will the sequence..." .
Found
by Mark McLaughlin, Walt Disney Animation Studios
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9/15/08 |
| Chapter
6 |
Eigen-Problems |
Posted |
| Page
59 |
For the
given eigenvalues, the eigenvectors are reversed. They should
be:
u_1 = [1,1]^T and u_2 = [1, -1]^T.
Modify the column vectors of U to reflect this change, thus
making the second row +0.707 and -0.707.
Found
by Mark McLaughlin, Walt Disney Animation Studios
and Eric Schafer, ILM
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9/15/08 |
| Page
60 |
The vector
sequence equation should be: v^(i) = Av^(i-1)
Found
by Mark McLaughlin, Walt Disney Animation Studios
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9/15/08 |
| Page
61 |
In Step
1 we pick v^(0). To be consistent with the development of
method, this should be v^(1).
Found
by Mark McLaughlin, Walt Disney Animation Studios
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9/15/08 |
| Page
64 |
The (2,2) element of the matrix U is incorrect. The columns of the matrix should be [.707,.707]^T and [-.707, .707]^T
On page 59 the matrix U holds a rotation and reflection. This is possible because of the degree of freedom in the solution to the homogeneous system (A-lambda I)u_2 = 0.
Found by Matthias Schweinoch |
11/12/14 |
| Chapter
9 |
Computing
Dynamic Processes |
Posted |
| Page
121 |
Figure
9.9 was created with 2r(t) -fr rather than the expression in
(9.12) |
8/1/08 |
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