In 2004, the Bogdanovs published a commercially successful popular science book, Avant Le Big Bang (Before the Big Bang), based on a simplified version of their theses, where they also presented their point of view about the affair. Both the book and the Bogdanovs' television shows have been criticized for elementary scientific and mathematical inaccuracies. Critics cite examples from Avant Le Big Bang including a statement that the " golden number " φ (phi) is transcendental, an assumption that the limit of a decreasing sequence is always zero, and that the expansion of the Universe implies that the planets of the Solar System have grown farther apart.