Errata for Essential Mathematics for Political and Social Research, Second Printing.
[To be fixed in the third printing: Winter 2008.]
[ ] Page 48, Exercise 1.27. The numerator of the MV is missing "f_i f_j" at the end.
[ ] Page 88, Unit Rule in the box. It should be "1u = \sum_{i=1}^k u_i, for u of length k".
[ ] Page 91, box. Commutative Property: there is a minus sign missing before "vxu".
"Associate" should be "Associative".
[ ] Page 110, first full paragraph. Change "column" to "row" in line 3, change "row" to
"column in line 4, and switch "column" with "row" in line 5. Thanks to Mario L. Small.
[ ] Page 118, the idempotent matrix should be: -1 1 -1
2 -2 2
4 -4 4
So I-X below is: 2 -1 1
-2 3 -2
-4 4 -3
which squared returns the same matrix. Thanks to Mario L. Small.
[ ] Page 148, third matrix. Change the "0" value in the second row, first column to
a "1" value. Thanks to Sven Oskarsson.
[ ] Page 184, second paragraph, change "First go to 27-23 and then 22-18" to
"First go to 17-23 and then 18-22". Thanks to Jim Bachmeier.
[ ] Page 229, Exercise 5.1, the last limit "y -> 1" should be "y -> 0".
Thanks to Tim McDaniel.
[ ] Page 231, Exercise 5.8. Problem on first row, first column. Change "sin(x)" to
"sin(1-x)". Thanks to Tim McDaniel.
[ ] Page 231, Exercise 5.8. Problem on first row, second column. Change the limit
from infinity to zero and change 1/x to x in the numerator.
Thanks to Tim McDaniel.
Errata for Essential Mathematics for Political and Social Research, First Printing.
[Fixed in the second printing: Summer, 2007.]
[ ] Pages 7, 8. The senator's name is "Orrin Hatch". Thanks to Cindy Kam.
[ ] Page 14, table. The second Z^+ should be a Z^-. Thanks to Mary Balise.
[ ] Page 21, p(x) function. Change 2 theta's to x's. Thanks to Cindy Kam.
[ ] Page 44, Problem 1.13, line 9. Strike the restrictions on the support for r and s.
Thanks to Cindy Kam and Ellie Powell.
[ ] Page 46, Problem 1.25, second part. "+12" should be "-12".
[ ] Page 70, line 6. "f_1c" should be "f_1=c".
[ ] Page 76, Exercise 2.4. "sin" should be "sin()". Thanks to Cindy Kam.
[ ] Page 76, Exercise 2.7. For the hyperbola, a=1 and b=4.
[ ] Page 79, Exercise 2.12. The triangle function is defined with f(x)=2x over [0:0.5),
and f(x)=2-2x over [0.5,1].
[ ] Page 80, first equation. The ranges were missing.
[ ] Page 81, Exercise 2.15. For the first function, b>0.
[ ] Page 89, Figure 3.1. The legend should read "w1=u2v3-v2u3" not "w1=u2v3-v3u2".
Thanks to Andy Fullerton.
[ ] Pages 94, 95. The squares are left off expressions of the multiplicative norm.
Thanks to Tim McDaniel.
[ ] Page 122, second sentence. Add the clause "and i=k" at the end. Thanks to Cindy Kam.
[ ] Page 126, Exercise 3.2. Reference to Example 3.2 should be to Example 3.9.
Thanks to Cindy Kam.
[ ] Page 129, third line from the bottom. Change the "=" to a "<>" (not equal) sign.
Thanks to Niels Waller.
[ ] Page 130, Exercise 3.18. X is a $nT \times nT$ diagonal matrix.
[ ] Page 131, Exercise 3.21. The Y matrix should be: [2 -5]
[2 1].
[ ] Page 142, matrix derivative. The final two 2x2 matrices have cut-and-paste errors,
they should have... second one: instead of x11 x13 it should be x21 x23
x31 x33 x31 x33
third one: instead of x11 x12 it should be x21 x22
x21 x22 x31 x32
Thanks to Sven Oskarsson.
[ ] Page 146, first paragraph. In the last two sentences, change "column" to "row"
on each of the 4 appearances. Thanks to Niels Waller.
[ ] Page 148, second matrix. The element in the third row, second column should have
"65" in subscript rather than adjacent.
[ ] Page 159, second paragraph. Change "the matrix [1 2] above is such a case"
[3 4]
to "the matrix [1 2] above with y=[3,6]' is such a case" Thanks to Niels Waller.
[2 4]
[ ] Page 160, top. Change "0.16" to "1.16" in two places.
[ ] Page 163-164, sentence that starts at the bottom of page 163 and finishes on page
164. Swap "eigenvectors" and "eigenvalues". Thanks to Niels Waller.
[ ] Page 165, first paragraph. Change "57.4%" to "57.3%". Thanks to Niels Waller.
[ ] Page 168, second to last paragraph. All the elements referred to in this
paragraph are diagonal elements as suggested by the first sentence. Thanks to
Niels Waller.
[ ] Page 172, Exercise 4.11. Second line from the bottom: the third occurance of the
X matrix should be X', and the last X and Z should be bold.
[ ] Page 173, Exercise 4.13. In the matrix P', the entry on the fourth row, third
column should be "L_3/L_2". Also swap L_w/L_w-1 with the zero one column to the
left.
[ ] Page 177, Exercise 4.25. Change the "A" matrices in the denominator of the
vector to determinants of the A matrix "|A|".
[ ] Page 208, formula starting with "R=". Remove square from f(x). Thanks to
Niels Waller. Also, in paragraph 2, line 4, change "left" to "right". Thanks
to Cindy Kam.
[ ] Page 216, last equation. x_2 should be x_3.
[ ] Page 220, last paragraph. Insert "we" after "that" in "so that get more".
Thanks to Niels Waller.
[ ] Page 229, Exercise 5.4. Change "b=0.5" to "x=0.5".
[ ] Page 231, Exercise 5.8. Limits in the third row problems should use y not x.
Thanks to Cindy Kam.
[ ] Page 231, Exercise 5.12. The correct values are omega_4=40 and omega_5=10.
[ ] Page 232, Exercise 5.16. Last line, (2n-1)!! = (2n)! / (2^n n!).
[ ] Page 234, Exercise 5.21. After "partial derivative" put "(i.e. treat delta
as a constant in the derivative operation)". Thanks to Cindy Kam.
[ ] Page 238, first line of Example 6.2. Change "Any early" to "An early".
Thanks to Niels Waller.
[ ] Page 244, second paragraph, line 2. Change "on" to "one". Thanks to
Cindy Kam.
[ ] Page 251, first paragraph, line 3. Change "stripped" to "striped. Thanks
To Cindy Kam.
[ ] Page 254, Iterated Integral Theorem. Insert "<=" after "y" and before "g"
on the first line, and insert "<=" after x and before "g" on the second line.
Thanks to Niels Waller.
[ ] Page 266, first four equations. The summations should start with "i=1".
[ ] Page 268, third formula from the bottom (after "As a demonstration"). The
"t" after "5" should also be in the exponent. Thanks to Niels Waller.
[ ] Page 268, last 2 equations. All "f()" expressions should be without
differentiation (i.e. not "f'()"). Thanks to Niels Waller.
[ ] Page 273. In the "c(x)" matrix the element in the second row, third column
should be "-x_3". Thanks to Niels Waller.
[ ] Page 277. The page numbers for concave downwards and concave upwards should be 244.
[ ] Page 278. Exercise 6.1. In sixth problem (counting by rows) there is a
extra "(" in the denominator. Thanks to Cindy Kam.
[ ] Page 278. Exercise 6.2. In the fifth problem, there should be a comma
before "x>0".
[ ] Page 279, Exercise 6.5. On the fifth line from the bottom, the two inequalities
should be equalities and the second is (p=-1).
[ ] Page 281, Exercise 6.13. The fifth series should have $i=2$ not $i=i$ underneath
the summation. There should be another ")" right after the first one in the
denominator of the second-to-last problem. Also, the limits on the last
summation are not in the correct place over and under the sum.
[ ] Page 307, second paragraph. Put a "?" after the sentence starting "Finally, does...".
Thanks to Cindy Kam.
[ ] Page 365, line 3. Change 2% to 3%. Thanks to Ryan Moore.
[ ] Page 371, the E[X] calculate should result in 1.167 not 1.67.
Thanks to James A. McCann.
[ ] Page 381, second to last line. Remove the "]". Thanks to Ryan Moore.
[ ] Page 395, line 3. Change "past at time t" to "past at time t-1".
Thanks to Ryan Moore.
[ ] Page 423, Exercise 9.10. The last three values in the matrix should be 0, 6, 48,
not 06 48 ___.
[ ] Page 426, Exercise 9.16. In the first element of the second matrix there is a
missing close parenthesis.