This book offers engineering students an introduction to the theory of partial differential
equations and then guiding them through the modern problems in this subject.Divided into two
parts in the first part readers already well-acquainted with problems from the theory of
differential and integral equations gain insights into the classical notions and problems
including differential operators characteristic surfaces Levi functions Green's function
and Green's formulas. Readers are also instructed in the extended potential theory in its three
forms: the volume potential the surface single-layer potential and the surface double-layer
potential. Furthermore the book presents the main initial boundary value problems associated
with elliptic parabolic and hyperbolic equations. The second part of the book which is
addressed first and foremost to those who are already acquainted with the notions and the
results from the first part introduces readers to modern aspects of the theory of partial
differential equations.
