Dorny - Errata


Update 12 March 2020

page 178, (4.60): x(t) = S-1y(t) should be x(t) = S y(t)


Original List:

page 37, line 1: x = (ξ1, should be x = (ξ1, ξ2, ξ3)

page 38, line -10: CR3 should be

page 45, line 10: scalars ci, ..., cn should be scalars c1, ..., cn

page 45, line 11: x= fxi +x2-xX, should be ½ x1 + x2 - x3

page 45, line 14: If S is a subset of ?r, should be If S is a subset of V,

page 52, line -2: 4 is indeed a basis should be G is indeed a basis

page 61, line -10: Suppose G and T of (2.26) ... should be Suppose G and T of (2.28) ...

page 66, line -5: x = (ξ1 2 -2ξ1`,) should be x = (ξ1, 2-2ξ1)

page 95, line 4: (3.4) should be (3.2)

page 128, line 10: (3.59, should be (3.55)

page 162, middle: the bnA term in c(A) = Anx + ... + bnA = 0 should be bnI

page 176, line -9: (3.36) should be (3.63)

page 177, line 13: Fortunately, should be Unfortunately,

page 181, line 11: x(t) on the left of the equation should be x dot, i.e. dx(t)/dt

page 191, line 6: d3 is already zero should be d3 and d6 are already zero

page 194, line -4: = 8 should be = 0

page 201, Figure 4.5: f(t) in the middle of the figure should be f'(t), i.e. f-dot, the derivative of f(t)

page 205, line 0: Sec. 4.4 should be Sec. 4.6

page 211, line -5: from those off should be from those of f

page 214, line 5: A = ... E^10 should be A = ... E^i0 (subscript 10 should be i0)

page 223, line 2, P4.1(b): [P1]XX and [P2]XX should be [P1]EE and [P2]EE

page 239, middle, Definition 2: <y,x> should have a bar over it

page 362, 2nd line before (6.48): AT should be AAT

page 367, equations (6.65), (6.66), (6.67): ξ1 and ξ2 should be λ1 and λ2

page 565, line 10: if an only if should be if and only if

page 583, P2.8c solution: correct expression for y can be obtained by row reducing [A,I]:

A = 
          1          0         -2
          2          2          1
          2          0         -4
          1          1          3

row reduced [A,I] = 

          c1         c2         c3         n1        n2         n3         n4

          1          0          0     :    0       -0.4        0.5        0.8
          0          1          0     :    0          1       -0.5         -1
          0          0          1     :    0       -0.2          0        0.4
          0          0          0     :    1          0       -0.5          0

page 586, P3.20(b) solution: the + in the (1,2) element of eAt should be -, i.e. the element should be: e-t- e-2t; the (2,1) element of eAt is missing a factor of 2, it should be: 2(e-2t- e-t)