Handbook of Integral Equations (Hardback)
Handbook of Integral Equations (Hardback)
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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
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PUBLISHER: CRC Press
ISBN-13: 9780849328763
ISBN-10: 0849328764