Modern plasma physics, encompassing wave-particle interactions and
collec- tive phenomena characteristic of the collision-free nature of
hot plasmas, was founded in 1946 when 1. D. Landau published his
analysis of linear (small- amplitude) waves in such plasmas. It was not
until some ten to twenty years later, however, with impetus from the
then rapidly developing controlled- fusion field, that sufficient
attention was devoted, in both theoretical and experimental research, to
elucidate the importance and ramifications of Landau's original work.
Since then, with advances in laboratory, fusion, space, and
astrophysical plasma research, we have witnessed important devel-
opments toward the understanding of a variety of linear as well as
nonlinear plasma phenomena, including plasma turbulence. Today, plasma
physics stands as a well-developed discipline containing a unified body
of powerful theoretical and experimental techniques and including a wide
range of appli- cations. As such, it is now frequently introduced in
university physics and engineering curricula at the senior and
first-year-graduate levels. A necessary prerequisite for all of modern
plasma studies is the under- standing oflinear waves in a temporally and
spatially dispersive medium such as a plasma, including the kinetic
(Landau) theory description of such waves. Teaching experience has
usually shown that students (seniors and first-year graduates), when
first exposed to the kinetic theory of plasma waves, have difficulties
in dealing with the required sophistication in multidimensional complex
variable (singular) integrals and transforms.