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
