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Handbook of Integral Equations (Hardback)

Handbook of Integral Equations (Hardback)

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Condition

GOOD: The book is in good condition, showing a few signs of shelf wear on the spine. Its pages are clean and its covers are straight. It is printed on acid-free paper.

Product Details

FEATURES

  • Contains more than 2,100 integral equations and their solutions
  • Describes new exact solutions to linear and nonlinear equations
  • Considers general integral equations in relation to various fields of mechanics and theoretical physics, including elasticity, plasticity, hydrodynamics, heat and mass transfer, and electrodynamics
  • Outlines exact, approximate analytical, and numerical methods for solving linear and nonlinear integral equations
  • Describes symbolic methods, singular integral equations, and translational integral equations
  • Presents classical methods and recent developments
  • Discusses numerous new solutions to the Volterra, Fredholm, and other equations
  • Provides examples of applications to specific equations
  • Includes supplements, featuring properties of elementary and special functions; tables of indefinite and definite integrals; and tables of Laplace, Mellin, and other transforms


BRIEF CONTENTS

  • Annotation
  • Foreword
  • Some Remarks and Notation
  • PART I. Exact Solutions of Integral Equations
    • 1. Linear Equations of the First Kind with Variable Limit of Integration
    • 2. Linear Equations of the Second Kind with Variable Limit of Integration
    • 3. Linear Equation of the First Kind with Constant Limits of Integration
    • 4. Linear Equations of the Second Kind with Constant Limits of Integration
    • 5. Nonlinear Equations with Variable Limit of Integration
    • 6. Nonlinear Equations with Constant Limits of Integration
  • PART II. Methods for Solving Integral Equations
    • 7. Main Definitions and Formulas. Integral Transforms
    • 8 - 11. Methods for Solving Linear Equations [of various forms]
    • 12. Methods for Solving Singular Integral Equations of the First Kind
    • 13. Methods for Solving Complete Singular Integral Equations
    • 14. Methods for Solving Nonlinear Integral Equations
  • Supplements
    • Supplement 1. Elementary Functions and Their Properties
    • Supplement 2. Tables of Indefinite Integrals
    • Supplement 3. Tables of Definite Integrals
    • Supplement 4. Tables of Laplace Transforms
    • Supplement 5. Tables of Inverse Laplace Transforms
    • Supplement 6. Tables of Fourier Cosine Transforms
    • Supplement 7. Tables of Fourier Sine Transforms
    • Supplement 8. Tables of Mellin Transforms
    • Supplement 9. Tables of Inverse Mellin Transforms
    • Supplement 10. Special Functions and Their Properties
  • References
  • Index
View full details

AUTHOR: Polyanin;Andrei D. and Alexander V. Manzhirov
PUBLISHER: CRC Press
ISBN-13: 9780849328763
ISBN-10: 0849328764
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Handbook of Integral Equations (Hardback)
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