This monograph focuses on the modeling of continua that exhibit the
property of singularities in fields. A rational theory of continuum
thermomechanics that takes into account the existence and distribution
of scalar and vector discontinuities is presented. The required
mathematical background is given; basic understanding of differential
geometry and tensor analysis is helpful. Largely self-contained work
should serve a readership of graduate students, researchers, and
engineers in applied mathematics, mechanics, and physics.