A First Course in Integral Equations (2E) by Abdul Majid Wazwaz
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About this book :-
A First Course in Integral Equations (2E) written by
Abdul Majid Wazwaz.
Engineering, physics and mathematics students, both advanced undergraduate and beginning graduate, need an integral equations textbook that simply and easily introduces the material. They also need a textbook that embarks upon their already acquired knowledge of regular integral calculus and ordinary differential equations. Because of these needs, this textbook was created. From many years of teaching, the author has found that the available treatments of the subject are abstract. Moreover, most of them are based on comprehensive theories such as topological methods of functional analysis, Lebesgue integrals and Green functions. Such methods of introduction are not easily accessible to those who have not yet had a background in advanced mathematical concepts. This book is especially designed for those who wish to understand integral equations without having the extensive mathematical background. In this fashion, this text leaves out abstract methods, comprehensive methods and advanced mathematical topics.
The author has found that the material can indeed be taught in an accessible manner. Students have showed both a lot of motivation and capability to grasp the subject once the abstract theories and difficult theorems were omitted. He focus on easily applicable techniques and he do not emphasize such abstract methods as existence, uniqueness, convergence and Green functions. He has translated my means of introducing and fully teaching this subject into this text so that the intended user can take full advantage of the easily presented and explained material.
The author also introduced and made full use of some recent developments in this field. The book consists of six chapters, each being divided into sections. In each chapter the equations are numbered consecutively and distinctly from other chapters. Several examples are introduced in each section, and a large number of exercises are included to give the students a constructive insight through the material and to provide them with useful practice.
(Abdul Majid Wazwaz)
Book Detail :-
Title: A First Course in Integral Equations
Edition: 2nd
Author(s): Abdul Majid Wazwaz
Publisher: World Scientific Publishing
Series:
Year: 2015
Pages: 330
Type: PDF
Language: English
ISBN: 9814675156, 978-9814675154
Country: US
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About Author :-
The author Abdul Majid Wazwaz Professor of Mathematics, Department of Mathematics, Saint Xavier University, Chicago, IL 60655, US.
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Book Contents :-
A First Course in Integral Equations (2E) written by
Abdul Majid Wazwaz
cover the following topics.
'
1. Introductory Concepts
2. Fredholm Integral Equations
3. Volterra Integral Equations
4. Fredholm Integro-Differential Equations
5. Volterra Integro-Differential Equations
6. Singular Integral Equations
7. Nonlinear Fredholm Integral Equations
8. Nonlinear Volterra Integral Equations
9. Applications of Integral Equations
Appendix
A Table of Indefinite Integrals
B Integrals Involving Irrational Algebraic Functions
C Series
D The Error and the Gamma Functions
Answers to Exercises
Bibliography
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