Singular Integral Equations (DOVER) 2nd Ed~tqw~_darksiderg

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Name:Singular Integral Equations (DOVER) 2nd Ed~tqw~_darksiderg

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Title................: Singular Integral Equations (DOVER) 2nd Ed
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 19.4 MB
Torrent Hash.........: B76FED570A504442509193FD3016C3121620EFEA
Posted by............: ~tqw~


Singular Integral Equations (DOVER) 2nd Ed~tqw~_darksiderg preview 0
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.

Table Of Contents:
Part I. Fundamental Properties of Cauchy Integrals
1. The Hölder 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
9. Solution of the generalized Riemann-Hilbert-Poincaré 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
11. Inversion formulae for arcs
12. Effective solution of some boundary problems of the theory of harmonic
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
15. Singular integral equations in the case of discontinuous coefficients
16. Application to the Dirichlet problem and similar problems
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
Appendix 1: On smooth and piecewise smooth lines
Appendix 2: On the behaviour of the Cauchy integral near corner points
Appendix 3: An elementary proposition regarding bi-orthogonal systems of
References and author index

Product Details:
* ISBN: 0486462420
* ISBN-13: 9780486462424
* Format: Paperback, 464pp
* Publisher: Dover Publications
* Pub. Date: May 2008
* Edition Number: 2

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