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Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics

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Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics, 9780486462424 (0486462420), Dover Publications, 2008
This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Hölder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion formulas for arcs, and many other areas. 1992 edition.

This monograph by N. 1. Muskhelishvili systematically acquaints the reader with the mathematical apparatus of Cauchy type integrals and singular integral equations, jn the study of which the author and his students took active interest. A considerable part of the book is devoted to applications to the solution of numerous problems of potential theory. the theory of elasticity and other sections of mathematieal physics.

The bo0k is intended for postgraduates and students of advanced courses of the physico-mathematical faculties, and likewis~ for research engineers.
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