Singular Integral Equations

Boundary Problems of Function Theory and Their Application to Mathematical Physics

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Singular Integral Equations by N. I. Muskhelishvili, Dover Publications
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Author: N. I. Muskhelishvili ISBN: 9780486145068
Publisher: Dover Publications Publication: February 19, 2013
Imprint: Dover Publications Language: English
Author: N. I. Muskhelishvili
ISBN: 9780486145068
Publisher: Dover Publications
Publication: February 19, 2013
Imprint: Dover Publications
Language: English
Singular integral equations play important roles in physics and theoretical mechanics, particularly in the areas of elasticity, aerodynamics, and unsteady aerofoil theory. They are highly effective in solving boundary problems occurring in the theory of functions of a complex variable, potential theory, the theory of elasticity, and the theory of fluid mechanics.
This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. 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. Intended for graduate students, applied and pure mathematicians, engineers, physicists, and researchers in a variety of scientific and industrial fields, this text is accessible to students acquainted with the basic theory of functions of a complex variable and the theory of Fredholm integral equations.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Singular integral equations play important roles in physics and theoretical mechanics, particularly in the areas of elasticity, aerodynamics, and unsteady aerofoil theory. They are highly effective in solving boundary problems occurring in the theory of functions of a complex variable, potential theory, the theory of elasticity, and the theory of fluid mechanics.
This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. 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. Intended for graduate students, applied and pure mathematicians, engineers, physicists, and researchers in a variety of scientific and industrial fields, this text is accessible to students acquainted with the basic theory of functions of a complex variable and the theory of Fredholm integral equations.

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