Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics (Dover Books on Physics)

Muskhelishvili, N. I.,Physics

ISBN 10: 0486462420 / ISBN 13: 9780486462424

Edité par Dover Publications, 2008

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Détails bibliographiques

• Titre: Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics (Dover Books on Physics)
• Éditeur: Dover Publications
• Date de parution: 2008
• Langue: anglais
• ISBN à 10 chiffres: 0486462420
• ISBN à 13 chiffres: 9780486462424
• Reliure: paperback
• État de l'article: Good

A propos de ce titre

Synopsis

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 Holder 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.

Présentation de l'éditeur

High-level treatment covers one-dimensional singular integral equations involving Cauchy principal values; coverage includes Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, inversion formulae for arcs, and much more. For graduate students, engineers, mathematicians, physicists, more. 1953 edition. Introduction. Reprint of the P. Noordhoff, NV, Groningen, Holland, 1953 edition.