Corrections to the fourth edition of

Classical Algebra

Corrections to the fourth edition of
Classical Algebra

by William J. Gilbert and Scott A. Vanstone

Page 18: Chapter 0, Exercise 55.: Show that the statement P OR Q OR R is equivalent to the statement (NOT P AND NOT Q) implies R.
Page 44: Chapter 1, Exercise 57.: 1241 to base 9
Page 85: line 2.: f(k+1) = f(k) + k + 1
Page 157: line -6.: In order for the RSA scheme to be secure
Page 161: Chapter 6, Exercise 6.: This has no solution.
Page 169: line 12.: i^m = i^n+4k = iⁿ i^4k = iⁿ(i⁴)^k = iⁿ 1^k = iⁿ
Page 180: 7.5.4 Theorem.: z₁ z₂ = r₁ r₂ [cos ...
Page 205: line 15.: if we divide f(z) = ...
Page 205: line -8.: Since the remainder is zero, g(z) divides f(z) and
Page 212: line -4.: a₀ qⁿ = -p(a_n p^n-1 + a_n-1 p^n-2 q + ... + a₁ q^n-1)
Page 222: 8.5.9 Example.: 2 + 3 i should be changed to 2 + \sqrt3 i throughout the example.
2 - 3 i should be changed to 2 - \sqrt3 i throughout the example.
Page 227: line -1.: ... where each A_i ...
Page 228: line 7.: where each A_i and B_i ...
Page 247: Exercise Set 0, Solution to 33.: There exists x, for all y, 0 < x =< y; integers

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