Search results
Results from the WOW.Com Content Network
By the 18th century, there are written records of some European habitation in the Vandemere area. Records show that there was a Native American people who lived "at the head of Vandemore's Creek." These early records show various spellings of the name of Vandemere, most showing Dutch or Flemish origin.
Vandermonde was a violinist, and became engaged with mathematics only around 1770. In Mémoire sur la résolution des équations (1771) he reported on symmetric functions and solution of cyclotomic polynomials; this paper anticipated later Galois theory (see also abstract algebra for the role of Vandermonde in the genesis of group theory).
Vandermonde's identity also admits a combinatorial double counting proof, as follows.Suppose a committee consists of m men and n women. In how many ways can a subcommittee of r members be formed?
The determinant of a square Vandermonde matrix is called a Vandermonde polynomial or Vandermonde determinant.Its value is the polynomial = < ()which is non-zero if and only if all are distinct.