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

N. I. Muskhelishvili

Published by P. Noordhoff N.V., Groningen, Holland, 1953

About this Item

Hardcover. Condition: Good. Dust jacket condition: Poor. Red boards with gilt lettering on spine. Bottom, left corner of back board significantly bumped. Tanned pages with some wrinkling. Firm binding square tips and no marks or tears to text. Dust jacket worn at top of spine with large tear on back cover.
Revised translation from the Russian edited by J. R. M. Radok.

Contents include:
Part I ? Fundamental Properties of Cauchy Integrals
1. The Holder Condition
2. Integrals of the Cauchy type
3. Some corollaries on Cauchy integrals
4. Cauchy integrals near ends of the line of integration
Part II ? The Hilbert and the Riemann-Hilbert Problems and Singular Integral Equations (Case of Contours)
5. The Hilbert and Riemann-Hilbert boundary problems
6. Singular integral equations with Cauchy type kernels (case of contours)
Part III. Applications to Some Boundary Problems
7. The Dirichlet problem
8. Various representations of holomorphic functions by Cauchy and analogous integrals
9. Solution of the generalized Riemann-Hilbert-Poincare problem
Part IV. The Hilbert Problem in the Case of Arcs or Discontinuous Boundary Conditions and Some of its Applications
10. The Hilbert problem in the case of arcs or discontinuous boundary conditions
11. Inversion formulae for arcs
12. Effective solution of some boundary problems of the theory of harmonic functions
13. Effective solution of the principal problems of the static theory of elasticity for the half-plane, circle and analogous regions
Part V. Singular Integral Equations for the Case of Arcs or Discontinuous Coefficients and Some of their Applications
14. Singular integral equations for the case of arcs and continuous coefficients
15. Singular integral equation in the case of discontinuous coefficients
16. Application to the Dirichlet problem and similar problem
17. Solution of the integro-differential-equation of the theory of aircraft wings of finite span
Part VI. The Hilbert Problem for Several Unknown Functions and Systems of Singular Integral Equations
18. The Hilbert problem for several unknown functions
19. Systems of singular integral equations with Cauchy type kernels and some supplements.

Seller Inventory # ABE-1772065503109

Bibliographic Details

• Title: Singular Integral Equations: Boundary Problems of Function Theory and their Application to Mathematical Physics
• Publisher: P. Noordhoff N.V., Groningen, Holland
• Publication Date: 1953
• Language: English
• Binding: Hardcover
• Condition: Good
• Dust Jacket Condition: Poor
• Weight: 785 grams
• Seller catalogs:
  • Education
  • Translated
  • Mathematics