In this easily-accessible textbook, the authors integrate the
ill-posed problem theory and its underlying mathematical apparatus.
This comprehensive work includes descriptions of recent results and
a presentation of actual applications of the ill-posed problem
theory. The first part of the book describes the differentiation of
normed space mappings, the integration of the functions of abstract
variables, and the theory of linear operators. The second section
deals with the mathematical physics connected to integral equations
of the first type, and with the bases of operator equation theory.
General
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