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The reader who is somewhat acquainted with the field of
compressible fluid flow hears much about Stefan Bergman's method of
integral operators. It took many years for him to develop this
method which is based primarily on the theory of analytic functions
and particularly on the theory of)functions of two complex
variables. The method, as a whole, is scattered throughout many
papers in mathematical journals, and as a matter of fact, in its
present state, is accessible only to those who are fully acquainted
with mathematical literature. In one of their papers, Professors R.
von Mises and M. Schiffer greatly simplified the method in the
subsonic casco The purpose of the present work is to represent the
method in all its variations in such a way that a theoretical
engineer or an applied aerodynamicist can use it in practical
applications. A professional mathematician will find the discussion
too elementary for him. The parts of Bergman's presentation which
are most interesting mathe matically-the proofs-are mostly omitted
in the present work. The emphasis was put upon the simplified
representation of the final results and formulas, rather than upon
the derivation of those formulas. In the preliminary remarks the
author discusses various types of singularities in a very
elementary way. The first two parts of the work deal with the
subsonic case. In these sections the author followed mostly the
paper of von Mises and Schiffer."
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