Boundary Value Problems
eBook - PDF

Boundary Value Problems

  1. 584 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Boundary Value Problems

About this book

Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions. The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. Although the book treats the theory of boundary value problems, emphasis is on linear problems with one unknown function. The definition of the Cauchy type integral, examples, limiting values, behavior, and its principal value are explained. The Riemann boundary value problem is emphasized in considering the theory of boundary value problems of analytic functions. The book then analyzes the application of the Riemann boundary value problem as applied to singular integral equations with Cauchy kernel. A second fundamental boundary value problem of analytic functions is the Hilbert problem with a Hilbert kernel; the application of the Hilbert problem is also evaluated. The use of Sokhotski's formulas for certain integral analysis is explained and equations with logarithmic kernels and kernels with a weak power singularity are solved. The chapters in the book all end with some historical briefs, to give a background of the problem(s) discussed. The book will be very valuable to mathematicians, students, and professors in advanced mathematics and geometrical functions.

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Yes, you can access Boundary Value Problems by F. D. Gakhov, I. N. Sneddon,M. Stark,S. Ulam in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080100678
eBook ISBN
9781483164984
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Boundary Value Problems
  3. Copyright Page
  4. Table of Contents
  5. FOREWORD TO THE FIRST EDITION
  6. FOREWORD TO THE SECOND EDITION
  7. INTRODUCTION
  8. CHAPTER I. INTEGRALS OF THE CAUCHY TYPE
  9. CHAPTER II. RIEMANN BOUNDARY VALUE PROBLEM
  10. CHAPTER III. SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNEL
  11. CHAPTER IV. HILBERT BOUNDARY VALUE PROBLEM AND SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL
  12. CHAPTER V. VARIOUS GENERALIZED BOUNDARY VALUE PROBLEMS
  13. CHAPTER VI. BOUNDARY VALUE PROBLEMS AND SINGULAR INTEGRAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS AND OPEN CONTOURS
  14. CHAPTER VII. INTEGRAL EQUATIONS SOLUBLE IN CLOSED FORM
  15. REFERENCES
  16. INDEX
  17. OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS