The Helmholtz decomposition also known as the fundamental theorem of vector calculus is more than 100 years. This theorem is used by thousand physicists and mathematicians of the different countries, covered in hundreds textbooks of physics and mathematics, and taught every year to many thousands students all over the world. ?This theorem is of great importance in electrostatics, since Maxwell's equations for the electric and magnetic fields in the static case are of exactly this type? http://en.wikipedia.org/wiki/Helmholtz_decomposition#Fields_with_prescribed_divergence_and_curl . However this well-known theorem has appeared wrong. This problem, very unpleasant for modern mathematics and physics, were discussed here http://en.wikipedia.org/wiki/Wikipedia_talk:WikiProject_Mathematics/Archive/2012/Mar#Helmholtz_decomposition_is_wrong Please formulate your own position in this occasion.