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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~



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CONTENTS

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Synopsis:

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:

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 

   integrals

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 

   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 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 

    supplements

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 

     functions

References and author index

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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Greetz Fellow UL'ers

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       mazuki `jedi Flatline newartriot aXXo KingBen Paulx1 unisonband

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