Physics for Game Developers By David M. Bourg The following corrections were made to the 1/04 reprint: Here's a key to the markup: [page-number]: serious technical mistake {page-number}: minor technical mistake : important language/formatting problem (page-number): language change or minor formatting problem ?page-number?: reader question or request for clarification [19] 3-rd equation from the bottom; The integrated expression (vector product): (r x w x r) NOW READS: (r x (w x r)) [19] last paragraph; "... and (w x r) is angular momentum of each elemental mass..." NOW READS: "... and (r x (w x r))dm is angular momentum of each elemental mass..." [70] the last equation; The equation: sum(F) = sqrt{sum[(Fx)^2] + sum[(Fy)^2]} NOW READS: sum(F) = sqrt{(sum Fx)^2 + (sum Fy)^2} {72} 4-th equation; 3 parentheses were opened but only 2 closed. An additional closing parenthesis HAS BEEN ADDED just after the Cv variable. {72} 7-th equation from the bottom;missing open and close brackets The equation IS NOW in the form: [expression substituted for v2]dt = ds [75] the last equation on this page was incorrect; It NOW READS: Sum F = SQRT[ (sum Fx)^2 + (sum Fy)^2 + (sum Fz)^2 ] [76] last three equations at bottom: NOW READS: All minus signs in these equations HAVE BEEN CHANGED to plus signs. (77) 2-nd equation fron the bottom and the last equation of this page; 2-nd eq. from the bottom: on the right side of the equation in the expression exp[-(Cd/m)t] The "d" portion of the exponent NOW APPEARS as a subscript. The last eq. on this page: - in exp[-(Cd/m)t] the "d" portion of the exponent NOW APPEARS as a subscript. - cw portion of the equation (two instances) NOW APPEARS as Cw (C is now uppercase). (77) 4-th equation from the bottom; In this equation: Cd, Cw, vw, vx1, vx2 symbols: d, w, x1 and x2 NOW APPEAR as indexes (smaller letters lower than the main line of text). In x1 and x2 numbers 1 and 2 NOW APPEAR as subindexes. (77) 5-th equation from the bottom; The left side of the equation: (Cd/m)t=.... The "d" portion of the exponent NOW APPEARS as a subscript. {78} 2-nd and 3-rd eq. and some other eq. on this page; In all occurrences of the exp[(-Cd/m)t] on this page, The "d" portion of the exponent NOW APPEARS as a subscript. {79} 3-rd line from the bottom; A minus "-" HAS BEEN ADDED at the end of this line. [80] 3rd line from the top; A minus "-" HAS BEEN ADDED at the end of this line. [83] 4-th equation; The equation was incorrect. It NOW READS: Sum F = SQRT[ (sum Fx)^2 + (sum Fy)^2 ] (86) 5-th equation; "Ic" NOW READS: "Icg" {92} 2-nd equation from the top; i and j are both vectors and NOW APPEAR in the vector style (bold letters, no italics). {92} 2-nd equation from the top; The value (0.864) NOW READS (0.866) {93} 1-st, 2-nd and 3-rd equation; v1+ and v2+ are vectors, and NOW APPEAR in vector style (bold letters, no italics). {94} 6-th and 7-th equation; v1- and v2- are vectors, and NOW APPEAR in vector style (bold letters, no italics). (111) Last sentence of 3rd paragraph: "In the SI system you'll get R_t in newtons (N) if you have velocity in m/s, area in m, and..." "area in m," NOW READS "area in m2," [115] last display equation on the page; F_L = 2\pi^2 \rho r^4 v \omega NOW READS: F_L = 2\pi \rho r^4 v \omega (196) 3rd line of 1st paragraph under the code: "Similarly, STBCThruster...." NOW READS: "Similarly, STBDThruster...."