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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.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF A First Course in Integral Equations (2E) by Abdul Majid Wazwaz **

** • Download PDF A First Course in Integral Equations (2E) Solution Manual by Abdul Majid Wazwaz **

** • Download PDF Linear and Nonlinear Integral Equations by Abdul Majid Wazwaz **

** • Download PDF Mathematics of Complexity & Dynamical Systems by Abdul-Majid Wazwaz **

** • Download PDF Partial Differential Equations and Solitary Waves Theory by Abdul Majid Wazwaz **

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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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