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Mathematics for Economists, Third Edition
Malcolm Pemberton and Nicholas Rau
ERRATA
Revised March 9, 2014
The authors would like to be notified of further errors; please email [email protected].
Errors corrected in 2013 reprint
Page 50, lines 21 and 23 Replace (i) and (ii) by (a) and (b) respectively.
Page 105, Exercise 6.1.2 For “Exercise 4.2.4” read “Exercise 4.3.2”.
Page 105, Exercise 6.1.3 For “Exercise 4.2.5” read “Exercise 4.3.3”.
Page 160 The last two lines should be replaced by
“The three graphs of Figure 8.14 illustrate the following general properties of differen-tiable convex functions:”
Page 161 Line 4 should be replaced by the following:
(iii) There is no local maximum, except in the ‘flat bottom’ case shown in the right-hand panel, where the local maxima are also global minima.
Line 5 should be deleted.
Page 173, bottom line For “Section 10.3” read “Section 10.4”.
Page 208, footnote For xvi read xviii.
Page 232, sixth line of Proposition 1 Delete second “of”.
Page 257, second line of footnote “mathematician” (singular).
Page 264, third line of proof of Proposition 3 For “any matrix” read “any in-vertible matrix”.
Page 272, line 10 20y4 at end of line should be 20y3.
Page 286 Insert footnote 11: “Leonhard Euler (1707–1783), a Swiss who spent much ofhis working life in Russia, was one of the greatest and most prolific mathematicians ofthe 18th century. His name is pronounced ‘oiler’.”
Page 347, line 16 For −6 read −5.
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Page 386, line 15 For “Exercise 18.3.3” read “Exercise 18.3.2”.
Page 390, footnote For “M. Karush” read “William Karush”; similarly for index entry‘Karush’, page 697.
Page 392, line 13 Delete second “the”.
Page 392, lines 19 and 31 Insert additional constraints x ≥ 0, y ≥ 0.
Page 392, line 20 Replace by: “It is easy to see that it cannot be optimal for x or y tobe zero. At the optimum x > 0, y > 0 and the Kuhn–Tucker conditions are as follows.”
Page 394, Exercise 18.4.3 In first line of (b), delete second (x∗, y∗, λ∗).
Page 406, 7th line from end For − 5
6x1.2 read + 5
6x1.2.
Page 423, 6th line from end For “The” read “Then”.
Page 444, line 8 The upper limit of the integral on the right should be 2, not 1.
Page 444, line 9 Typo: “Therefore”.
Page 446, line 7 Right-hand side of equation should be −f(x).
Page 460, line 12 Delete “then” at end of line.
Page 464, line 22 Paragraph should begin: “Since 0 < α < 1, γ > 1, δ/γ is a ... ”
Page 479, line 6 Delete second “the”.
Page 502, line 22 For k 6= 0 read k ≤ 0.
Page 512, line 22 Delete second “that”.
Page 522, second line of Example 6 Right-hand side of equation should be 27t− 63.
Page 527, line 6 For y → −1
2read y → 1
2.
Page 539, fifth line of Problem 24–2 Right-hand side of (c) should be 2t− 1.
Page 569, two lines before equation (26.9) For “constants depending on initial con-ditions” read “arbitrary constants”.
Page 583, line 9 For y < 0 read x > 0.
Page 583, line 11 For “above or below” read “below or above”.
Page 585, lines 9-10 Second sentence of paragraph should read: “Let M be the stockof money in Home; let m = lnM .”
Page 587, line 4 For “only on i” read “only on r”.
Page 590, 2nd line above footnote For “solutions path” read “solution paths”.
Page 591, 5th line from bottom For “approach x∗ read “approach z
∗”.
Page 608, Exercise 27.2.1π0
1 + r< a <
π0δ + r
.
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Page 610, line 23 For πT−1(K) read πT−1K.
Page 612, line 28 Typo: “control”.
Page 620, line 5 Delete “is”.
Page 626, line 21 For “Exercise 28.3.1” read “Exercise 28.1.3”.
Page 636, first line of footnote Delete “then”.
Page 681, line 20 For “Section 17.4” read “Section 16.2”.
Page 682, footnote 12 For Ax ⊂ X read Ax ⊂ K.
Errors remaining in 2013 reprint
Page 138, lines 10, 17 and 22 Replace (7.5) by (7.7).
Page 138, line 24 Replace (7.6) by (7.8).
Page 139, line 9 Replace (7.5), (7.6), (7.7) by (7.7), (7.8), (7.9) respectively.
Page 367, line 22 For “that f homogeneous” read “that f is homogeneous”.
Page 545, bottom line For “the eigenvalue 2” read “the eigenvalue −1”.
Page 577, 6th line after SP2 For A read A.
Page 596, 5th line from end Typo: “equations”.
Page 605, line 3 Typo: “optimal”.
Page 610, line 26 For “if It > 0” read “if IT−1 > 0”.
Page 632, footnote 8 For “ot” read “it”.
Page 678, line 21 In second line of statement of Weierstrass’s theorem, X and I shouldboth be K.
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