Corrections & updates for the 2nd edition of Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra by Matthias Beck and Sinai Robins (Springer 2015): p. 83, Exercise 3.3: parts (a) and (b) are not correct as stated. p. 83, Exercise 3.7: the summand z1 in the numerator of the formula for sigmaK should be a 1. p. 98, Note 7: the Gorenstein conditions are not stated correctly. p. 111, Exercise 5.14(b): the condition should be that no three of those vectors span a plane. p. 148, Exercise 7.21 actually holds for all positive integers k. p. 151, Equation (8.4), and p. 247, Exercise 14.3: the formula for polyA(n) should read (-1)d-1/(d-1)! Bd-1A(-n). p. 160, Corollary 8.12: the formulas for the h*-coefficients are not correct. p. 161, Note 3: the appearance of Bernoulli-Barnes polynomials as part of the restricted partition function goes back to an 1857 paper by Sylvester (almost 50 years before Barnes introduced Bernoulli-Barnes polynomials). p. 163, Exercise 8.12: the first sum on the right-hand side is missing a - sign (the formula is correct in the main text on p. 157). p. 172, last line in the proof of Lemma 9.1: the Cartesian product should be a Minkowski sum. p. 175, Lemma 9.6: the sums in the big set should be differences. The proof of Theorem 9.5 and Exercises 9.13-15 need to be adjusted accordingly. Equation (9.3) is not correct (one needs to translate the parallelepipeds). p. 189, Theorem 10.5 & Corollary 10.7: an analogue of this result (in fact, of the more general (10.12)) was proved here by Matthias Beck, Ben Braun, and Andrés Vindas-Meléndez. A much more elementary proof, by Esme Bajo and Matthias Beck, appeared here. p. 192, Note 3: the d-l exponent in the symmetry equation for b(z) should be s-1. p. 271: the page numbers in [100] for Dehn's 1905 publication are incorrect; they should read 561-586. An updated pdf version of our book, in which all of the above are corrected, is here.

"The world is continuous, but the mind is discrete."
David Mumford