Compiled by Haruyuki Kawabe and others
(see below for acknowledgements).
Note: Rubik’s cube moves displayed by Sage (using rubik.plot_cube) are not the same as the book. For example, the Rubik’s cube move R is displayed in 2d using rubik.display2d("R") as the move R-1. However, the color plots rubik.plot_cube("R") (in 2d) and rubik.plot3d_cube("R") (in 3d) are consistent with the book’s notation.
| chapter | page | line | read | should be | |
| 1 | 3 | -5 | im | in | |
| 3 | -7 | _\wedge (i.e., _∧ ) | _\vee (i.e., _∨ ) | ||
| 5 | 8 | De Morgans’s Law | distribution law | ||
| 5 | 11 | laws of negation | De Morgan’s laws | ||
| 7 | 1 | [Gar1] | (SEE REMARK 1) | ||
| 11 | -12 | two | four | ||
| 2 | 13 | 2 | And | Can | |
| 15 | -8 | T \subset \mathbf{R} | 0 \in T\subset \mathbf{R} | ||
| 16 | -12 | or | of | ||
| 18 | 5 | f^{-1}(s) | f(s) | ||
| 18 | 8 | f\circ g = fg | g\circ f = gf | ||
| 19 | -2 | vertices | vertices, edges | ||
| 19 | -1 | f_1 | f_0, f_1 | ||
| 23 | 6 | left matrix | (SEE REMARK 2) | ||
| 23 | 3 | diagonal | triangular | ||
| 23 | 7 | of | or | ||
| 25 | 12 | parallelpiped | parallelepiped | ||
| 26 | 7 | +(1,1,1) / +2(1,1,1) | +3(1,1,1) / +6(1,1,1) | ||
| 27 | 6 | S | a set | ||
| 32 | -9 | S_1\times S_n | S_1\times \dots \times S_n | ||
| 33 | 7 | 5 jars | 3 jars | ||
| 33 | -17 | n-m | n-m+1 | ||
| 34 | 13 | n |’s | n-1 |’s | ||
| 3 | 46 | 16 | 1 3 2 1 | 4 3 2 1 | |
| 50 | -3 | O_1’\to O_j’ | O_j’\to O_j’ | ||
| 53 | Fig. | U/D/L/R/B/F | u/d/l/r/b/f | ||
| 53 | -4 | (a_1,a_k)…(a_1,a_2) | (a_1,a_2)…(a_1,a_k) | ||
| 56 | -5 | (b_1, n) | (b_{n-1}, n) | ||
| 56 | -5 | (b_2, n) | (b_{n-2}, n) | ||
| 56 | -5 | (b_3, n) | (b_{n-3}, n) | ||
| 56 | -5 | (b_{n-1}, n) | (b_1, n) | ||
| 56 | -4 to -9 | in alg. step 4 | omitting 4th, 6th, 7th sentences gives a simpler way of describing this step | ||
| 57 | -6 | adjacent. bells | adjacent bells. | ||
| 59 | -16 | the next | a later | ||
| 4 | 63 | 12 | U/L/D/R | u/l/d/r | |
| 63 | -9 | five | four | ||
| 64 | -11 | five | four | ||
| 66 | 7 | matrix | array | ||
| 66 | -5 | f_1r_1 | f_1 | ||
| 67 | -8 | (11,22)(12,23)(13,24) | (11,20)(12,19)(13,18) | ||
| 70 | -2 | 2×2 | 2x2x2 | ||
| 78 | 10 | 4.6 | 4.5 | ||
| 80 | 2 | [B1] | [Bur] | ||
| 81 | 10 | [f_1.f_5.f_6] | [f_2.f_1.f_6] | ||
| 86 | -12 | rotations | rotation | ||
| 86 | -1 | denote | and $\ell_4$ denote | ||
| 5 | 89 | 1 | that there | there | |
| 91 | 12 | omit “necessarily” | |||
| 96 | -13 | S_{54} | S_{48} | ||
| 99 | -5 | S_4 | S_{48} | ||
| 104 | 2 | S_{54} | S_{48} | ||
| 107 | -7 | 2*t^6+2*t^3+7*t^2+t | t^6+t^3+3t^2+t | ||
| 110 | 6 | Feynmann | Feynman | ||
| 115 | 11 | in Hg | in gH | ||
| 116 | -15 | set X. | set X on the left. | ||
| 116 | -3 | for all x beloinging to X | (SIMPLY REMOVE) | ||
| 117 | -6 | H | |H| | ||
| 118 | 17 | lemma | proposition | ||
| 6 | 124 | -15 | (sometimes called the toggle vector) | (SIMPLY REMOVE) | |
| 129 | -11 | E_{22} | E_{2,2} | ||
| 130 | 5 | M_{N} | M_{N\times N} | ||
| 131 | -10 | superdiagonal of 1’s in Bn(x) | superdiagonal of -1’s in Bn(x) | ||
| 132 | -2 | \vec{v_i} | \vec{f_i} | ||
| 134 | 19 | if | of | ||
| 135 | 12 | theory | theorem | ||
| 137 | -7 | editition | edition | ||
| 138 | -14 | 1,12 | 12 | ||
| 138 | -13 | 2,9 | 9 | ||
| 138 | -12 | 3,10 | 10 | ||
| 138 | -11 | 4,11 | 11 | ||
| 138 | -10 | 5,7 | 7 | ||
| 138 | -9 | 6,8 | 8 | ||
| 138 | -8 | 5 | |||
| 138 | -7 | 6 | |||
| 138 | -6 | 2 | |||
| 138 | -5 | 3 | |||
| 138 | -4 | 4 | |||
| 138 | -3 | 1 | |||
| 7 | 145 | 11 | label vertices of graph on LHS as a,b,c (clockwise) | label vertices of graph on RHS as a,c,b (clockwise) | |
| 148 | 9 | digraph | graph | ||
| 148 | 14 | 3×3 | 3x3x3 | ||
| 148 | -2 | I was | I was born | ||
| 150 | 9 | orginal | original | ||
| 153 | 9 | 1307674368000 | 653837184000 | ||
| 8 | 158 | 17 | remove “,” after cos(\theta) | ||
| 159 | 3 | lemma | theorem | ||
| 163 | 2 | number | number perfect | ||
| 165 | -16 | can you | you can | ||
| 165 | -13 | point | paint | ||
| 9 | 169 | -2 | sgn | sign | |
| 174 | 20 | f | \phi | ||
| 176 | -17 | the cycle | the same cycle | ||
| 176 | -10 | (i_1,…,i_{n_2}) | (i_{n_1+1},…,i_{n_2}) | ||
| 176 | -9 | (i’_1,…,i’_{n_2}) | (i’_{n_1+1},…,i’_{n_2}) | ||
| 176 | -10 | (i_1,…,i_{n_k}) | (i_{n_{k-1}+1},…,i_{n_k}) | ||
| 176 | -9 | (i’_1,…,i’_{n_k}) | (i’_{n_{k-1}+1},…,i’_{n_k}) | ||
| 178 | -13 | ker(f)=\{e_2\} | ker(f)=\{e_1\} | ||
| 178 | -15 | g_1\cdot g_2^(-1)=e_2 | g_1\cdot g_2^{-1}=e_1 | ||
| 180 | -4 | (i,j,k)(j,k,l) | (j,k,l)(i,j,k) | ||
| 180 | -3 | (i,j)(j,k) | (j,k)(i,j) | ||
| 182 | -1 | f(G_1) | f(G_2) | ||
| 187 | -5 | C | V | ||
| 191 | 9 | a+b+c\equiv 0 | a+b+c | ||
| 195 | -13 | missing commas after x_1 and after y_1 | |||
| 197 | 12 | diag(v) | (SEE REMARK 3) | ||
| 197 | 13 | (3,3) entry of the 2nd matrix should be 1 instead of -1 | |||
| 10 | 201 | -11 | transpositions | the generators | |
| 217 | 2 | n+1 | n | ||
| 217 | 10, 18 | h_j | h_i | ||
| 11 | 222 | 1 | v(g) | vec{v}(g) | |
| 223 | -14,-15 | H | H’ | ||
| 223 | -14 | C_3^8 x S_V (2nd one) | C_2^{12} x S_E | ||
| 226 | -3 | (r,s,0,0) | (r,0,s,0) | ||
| 228 | -16 | v_k | v_{k+1} | ||
| 229 | -1,-2 | \equiv | \cong | ||
| 231 | -1 | 10^6 | 10^7 | ||
| 234 | 15 | Therfore | Therefore | ||
| 238 | 17 | c_{21}^1 and c_{21}^2 | c_{22}^1 and c_{22}^2 | ||
| 241 | 8 | plane | line | ||
| 12 | 242 | 9 | (SEE REMARK 4) | ||
| 242 | 15 | (SEE REMARK 4) | |||
| 244 | 14 | plane | line | ||
| 245 | -9 | F_5^X | (SEE REMARK 5) | ||
| 245 | -10,-12 | F_F | F_5 | ||
| 246 | 3 | elementary transvections | (SEE REMARK 6) | ||
| 249 | 15,17,19 | P^1(F) | P^1(F_7) | ||
| 13 | 252 | 15 | f_V | f_V:G\to S_v, g \mapsto g_V (SEE REMARK 7) |
|
| 253 | 4 | f_{EV} | f_{VE} | ||
| 255 | -15 to -13 | vague statement of Claim 1 | a more precise meaningful statement | ||
| 257 | -20 | S_V x C_3^8 | C_3^8 x S_V | ||
| 257 | -16 | p(g)\vec{v}(h) | p(g)^{-1}\vec{v}(h) | ||
| 260 | -10 | Corner | Edge | ||
| 261 | -5 | r \in S_V, | (simply remove) | ||
| 263 | -1 | 5.10 | 4.4 (but no edge-labels are given) | ||
| 14 | 270 | 7 | the pile is | the stack of cards is | |
| 273 | 14 | M_12 | |M_12| | ||
| 274 | 8 | F; | F: | ||
| 278 | 8 | A_24 | A_{24} | ||
| 279 | 9, 10 | weights of the | weight distribution of the | ||
| 279 | 9 | [n, k, d] | where n is the length, k is the dimension, and d is the minimum distance | ||
| 280 | -11 | 12.3 | 12.4 | ||
| 282 | 11 | Condider | Consider | ||
| 283 | 2 | mthods | methods | ||
| 283 | 12 | left | right | ||
| 15 | 285 | 4 | Abyss | the Abyss | |
| 286 | 17 | face | corners | ||
| 288 | -5, -4 | G_{k+1}/G_k | G_k/G_{k+1} | ||
| 288 | -3 | m_{n-1} | r_{n-1} | ||
| 288 | -2 | n_1 | r_1 | ||
| 289 | 1 | g_{k+1,j}G_k | g_{k+1,j}G_{k+1} | ||
| 289 | 2 | n_1 | r_k | ||
| 292 | 16 | (1,2) | (2,1) | ||
| 292 | 18 | (4,2) | (2,4) | ||
| 294 | -16 | [FRU \cdot FLU]^3 |
(FRU \cdot FLU)^3 |
||
| 294 | -12 | [FRU \cdot BLU]^5 |
(FRU \cdot BLU)^5 |
||
| 295 | 12 | bottom | bottom and left center facets |
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| 295 | -2 | UL | $UL$ | ||
| 298 | -5 | 9.4 | 10.4 | ||
| Bibliography | 299 | missing reference | [Bur] R. Burn, Groups: a path to geometry, Cambridge Univ. Press, 1985. | ||
| 299 | missing reference | [Gar3] M. Gardner, Eight problems, in New Mathematical Diversions, M.A.A, 1995. | |||
| 301 | -18 | group | groups | ||
| REMARK 1: | The problem is described in [Gar3], “New Mathematical Diversions”, instead of [Gar1]. |
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| REMARK 2: | 3×4 matrix would also be appropriate for the example. |
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| REMARK 3: | The function diag is not defined. (It defines a diagonal matrix with the given entries on the diagonal.) |
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| REMARK 4: | The matrices on right hand side of the equation should be swapped. |
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| REMARK 5: | F_5^X is not defined. | ||||
| REMARK 6: | The term is not explained in this book. See transvection on Wikipedia, for example. |
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| REMARK 7: | f_V is defined to be the map F_V(g)=g_V. | ||||
| REMARK 8: | the notation is not defined. | ||||
The typo mentioned above on page 25 was caught by Alastair Furrugia – thanks! – while the typo mentioned above on page 46 was caught by Greg Ives – thank you!
The typos mentioned above on pages 107, 153 were caught by Matthias Rudnick, who also noticed the Sage bug in display2d – thank you!
The typo on page 115 was found by Doug McKenzie – thank you!
The typo mentioned above on page 231 was caught by Michael Burns – thank you!
The errata mentioned above on page 255 (the statement of Claim 1 is so vague it has no
meaningful mathematical content) was caught by Prof. Juergen Voigt – thank you!
Michael Chapman provided a long list of typos. His very careful reading is very much appreciated!
I think Haruyuki Kawabe for the remaining typos, as well as his Japanese translation of the book.
Yet Another Mathblog 