Abstract
M.Sc. (Mathematics)
Determinants have been present since the very beginning of functional analysis. The determinants of in nite matrices were investigated for the rst time by the astronomer G. W. Hill in his studies on lunar theory. These ideas were then made exact by H. Poincare in 1886. Ten years later, H. von Koch polished and generalized Poincare's results. In 1903, I. Fredholm provided groundbreaking research into the development of a determinant theory for integral operators ...