Linear and Nonlinear Integral Equations: Methods and Applications by Abdul Majid Wazwaz
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About this book :-
Linear and Nonlinear Integral Equations: Methods and Applications written by
Abdul-Majid Wazwaz.
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Pad? approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
(Abdul Majid Wazwaz)
Book Detail :-
Title: Linear and Nonlinear Integral Equations: Methods and Applications
Edition:
Author(s): Abdul-Majid Wazwaz
Publisher: Springer
Series:
Year: 2011
Pages: 658
Type: PDF
Language: English
ISBN: 3642214487,9783642214486,9787040316940,9783642214493
Country: US
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About Author :-
The author Abdul Majid Wazwaz is Professor of Mathematics, Department of Mathematics, Saint Xavier University, Chicago, IL 60655, US.
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Book Contents :-
Linear and Nonlinear Integral Equations: Methods and Applications written by
Abdul Majid Wazwaz
cover the following topics.
'
Part-I Linear Integral Equations
1. Preliminaries
2. Introductory Concepts of Integral Equations
3. Volterra Integral Equations
4. Fredholm Integral Equations
5. Volterra Integro-Differential Equations
6. Fredholm Integro-Differential Equations
7. Abel’s Integral Equation and Singular Integral Equations.
8. Volterra-Fredholm Integral Equations
9. Volterra-Fredholm Integro-Differential Equations
10. Systems of Volterra Integral Equations
11. Systems of Fredholm Integral Equations.
12. Systems of Singular Integral Equations
Part II Nonlinear Integral Equations
13. Nonlinear Volterra Integral Equations
14. Nonlinear Volterra Integro-Differential Equations
15. Nonlinear Fredholm Integral Equations
16. Nonlinear Fredholm Integro-Differential Equations
17. Nonlinear Singular Integral Equations.
18. Applications of Integral Equations
Appendix A Table of Indefinite Integrals.
Appendix B Integrals Involving Irrational Algebraic Functions.
Appendix C Series Representations
Appendix D The Error and the Complementary Error Functions
Appendix E Gamma Function
Appendix F Infinite Series
Appendix G The Fresnel Integrals
Answers
Index
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