ERRATA

                                    for

                      Glimpses of Algebra and Geometry

  "If you write a letter to a friend, be certain to include at least one mistake.
  In this way you will make him feel superior."  (Chinese)

  For comments/suggestions, please write to G. Toth, Department of Mathematics,
  Rutgers University, Camden, New Jersey, 08102, U.S.A., or send a message 
  through e-mail: gtoth@crab.rutgers.edu

  page   line

   16       4     In the summation, we have j=0.

   18       1     r=300

   20      13     1+2+3+...+n

   21       1     Let tan theta =1/5 ... 

   21       3     ... error tan (4 theta - pi/4) = 1/239 ... 

   26      -2     Tunnell 

   27       6     ... where s,t are relatively prime integers.

   30      10     In this case ...

   31      19     ... $P(x,y)=y^2-(x^3-3x+2)$ ... 

   37       6     calculus

   37       7     -1, 432 

   38      17     x=x_0+3\frac{q'(x_0)^2-2q''(x_0)q(x_0)}{2q'''(x_0)q(x_0)} 

   45       6     chord-method

   51       6     c instead of a 

   51      22     Let m\neq 1 be positive. Show ...       

   55       3     Euler (1749)

   62      -9     Delete `cyclotomic'.

   66      -1     Delete web site 2.

   68       1     Inverse of the first (h_N circ h_S^{-1}) is missing

   68       2     (h_N circ h_S^{-1})^{-1}  

   69      -9     Actually, m\leq n

   72      12     for r large.) 

   81      -1     s_n^2 instead of s_n

   82       6     (a) needs to be deleted

   85      10     l \cap L of shortest ...

   85      11     in l \cap L. We ...  

   88       9     Calligraphic T

   90      16     R_l circ tau = tau^{-1} circ R_l 
   
   95       9     G=T=\langle T_v,T_w \rangle. In this ... 

   95      15     Kepler's Harmonices Mundi appeared in 1619.

  111      16     hat is needed on top of C. 

  120       6     Replace (cw-d) inside the displayed formula by  (cw+d).

  125     -10     hyperbolic center 

  131       6     \cos \alpha needs to be deleted. 

                  The formula should read as

                  \sinh a \tan \beta = \tanh b

  143       4     v=s+r(1+z(23\pi/24))

  155       4     \phi_j:U_j \to C 

                  (U_j \subset C should be deleted)

  163       3     C \times C = R^4

  163      12     ... of the elliptic ... 

  170      27     0^{\circ} and 180^{\circ}

  185       5     Delete `Euclid's'.

  203      12     Taking the midpoints of the edges of O, we obtain the 

                  midpoints of the edges of the reciprocal cube C with ...

  209      17     H instead of h

  209      18     Denominator is 121 not 212

  210       2     Coefficient is 1/20 not -1/20

  211       3     11z^5  not 11z        

  231      10     ... vertices v_1 and ...

  274      16     \sigma needs to be normalized to a unit quaternion.

  275      -6     \sigma needs to be normalized again.

  277       1     h_N

  239       1     In Figure 19.5, the vertex v_6 receives violet color.

  283      12     S^2 \subset R^3 
  
  288     1-2     Delete the first two lines

  289      -8     e*g=g*e=g for all ...