Can You Hear the Shape of a Drum? (Complete Version) [Reel 1 of 2; Composite]; Can You Hear the Shape of a Drum? (Complete Version) [Reel 1 of 2; Composite]

  • Film begins. Opening credits.
  • Robert A. Rosenbaum introduces lecture.
  • Mark Kac begins his lecture.
  • Boundary condition.
  • Region omega bounded by a smooth-curve gamma.
  • Are omega 1 and omega 2 congruent?
  • One can hear the area of a tambourine.
  • Context of elementary theory of diffusion.
  • The diffusing particle for short times has not had time to feel the boundary.
  • One step to Weyl's theorem.
  • Lecture ends.