
Mathematical
Principles for
Scientific Computing and Visualization
by Gerald
Farin & Dianne
Hansford
published by A
K Peters, Ltd., May 2008
ISBN: 9781568813219


Chapter
2 
Computational
Basics 
Posted 
Page
7,
Section 2.2 
There
is an inconsistency in the description of the IEEE standard
for 64bit number representation. The range of exponents for
64bit numbers is 308 to 308. The range given (38 to 38)
is that of 32bit numbers.
Found
by Mark McLaughlin, Walt Disney Animation Studios

8/26/08 
Page
8,
Section 2.2,
Example 2 
Strictly
speaking the truncated polynomial would be of degree 2n1
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

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

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

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

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

9/15/08 
Chapter
6 
EigenProblems 
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

9/15/08 
Page
60 
The vector
sequence equation should be: v^(i) = Av^(i1)
Found
by Mark McLaughlin, Walt Disney Animation Studios

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

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 (Alambda 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 


