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Integral Equations Books . We hope students and teachers like these textbooks, notes and solution manuals.
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About this book :-
Handbook of Integral Equations written by
Andrei Polyanin, Alexander Manzhirov.
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor.
New to the Second Edition
• New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions
• More than 400 new equations with exact solutions
• New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs
• Additional examples for illustrative purposes
To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.
Book Detail :-
Title: Handbook of Integral Equations
Edition:
Author(s): Andrei Polyanin, Alexander Manzhirov
Publisher: CRC-Press
Series: Handbooks of Mathematical Equations
Year: 2008
Pages: 1143
Type: PDF
Language: English
ISBN: 9781584885078,1584885076
Country: Russia
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About Author :-
The author Andrei D. Polyanin , D.Se., Ph.D., is a noted scientist of broad interests (ordinary differential, partial differential, and integral equations, mathematical physics, engineering mathematics, nonlinear mechanics, heat and mass transfer. chemical hydrodynamics, and others).
Andrei Polyanin graduated from the Department of Mechanics and Mathematics of the Moscow State University in 1974. He received his Ph.D. degree in 1981 and D.Se. degree in 1986 at the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences. Since 1975, Andrei Polyanin has been a member of the staff of the Institute for Problems in Mechanics of the Russian Academy of Sciences.
Professor Polyanin is an author of 21 books in English. Russian, German, and Bulgarian. His publications also include more than 120 research papers and three patents. In 1991, Andrei Polyanin was awarded a Chaplygin Prize of the USSR Academy of Sciences for his research in mechanics. E-mail: polyanin@ipmncLru
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Book Contents :-
Handbook of Integral Equations written by
Andrei Polyanin, Alexander Manzhirov
cover the following topics.
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 Equations of the First Kind with Constant Limits of Integration
4. Linear Equations of the Second Kind with Constant Limits of Integration
5. Nonlinear Equations of the First Kind with Variable Limit of Integration
6. Nonlinear Equations of the Second Kind with Variable Limit of Integration
7. Nonlinear Equations of the First Kind with Constant Limits of Integration
8. Nonlinear Equations of the Second Kind with Constant Limits of Integration
Part II. Methods for Solving Integral Equations
9. Main Definitions and Formulas. Integral Transforms
10. Methods for Solving Linear Equations of the Form x to a K(x, t)y(t) dt = f(x)
11. Methods for Solving Linear Equations of the Form y(x) = x to a K(x, t)y(t) dt = f(x)
12. Methods for Solving Linear Equations of the Form b to a K(x, t)y(t) dt = f(x)
13. Methods for Solving Linear Equations of the Form y(x) – b to a K(x, t)y(t) dt = f(x) 625
14. Methods for Solving Singular Integral Equations of the First Kind
15. Methods for Solving Complete Singular Integral Equations
16. Methods for Solving Nonlinear Integral Equations
17. Methods for SolvingMultidimensional Mixed Integral Equations
18. Application of Integral Equations for the Investigation of Differential Equations
Supplements
Supplement 1. Elementary Functions and Their Properties
Supplement 2. Finite Sums and Infinite Series
Supplement 3. Tables of Indefinite Integrals
Supplement 4. Tables of Definite Integrals
Supplement 5. Tables of Laplace Transforms
Supplement 6. Tables of Inverse Laplace Transforms
Supplement 7. Tables of Fourier Cosine Transforms
Supplement 8. Tables of Fourier Sine Transforms
Supplement 9. Tables of Mellin Transforms
Supplement 10. Tables of Inverse Mellin Transforms
Supplement 11. Special Functions and Their Properties
Supplement 12. Some Notions of Functional Analysis
References
Index
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