Designed for the postgraduate students of mathematics, the book on Integral Equations equips the students with an in-depth and single-source coverage of the complete spectrum of Integral Equations, including the basic concepts, Fredholm integral equations, separable and symmetric kernels, solutions of integral equations, classical Fredholm theory, integral transform method, and so on. Divided into eight chapters, the text addresses the doubts and concerns of the students. Examples given in the chapters inculcate the habit to try to solve more and more problems based on integral equations and create confidence in students. Bridging the gap between theory and practice, the book offers Clear and concise presentation Systematic discussion of the concepts Numerous worked-out examples to make the students aware of problem-solving methodology Sufficient exercises containing ample unsolved questions along with their answers Practice questions with intermediate results to help students from practice point-of-view
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About the Author
D.C. SHARMA, Ph.D., is Head of Mathematics Department, and Dean of School of Mathematics, Statistics and Computational Sciences, Central University of Rajasthan, Ajmer. Having more than 30 years of teaching experience, he has published several research papers in various national and international journals of repute. His research interests include mathematical programming, queuing theory and machining systems. He is the member of several bodies of the university, including Academic Council, Financial Committee, as well as member of several academic bodies like Indian Mathematical Society (IMS), Operational Research Society of India (ORSI), etc. M. C. GOYAL, Ph.D., has been Dean (Academics), Professor and Head of Department of Mathematics at Rajasthan College of Engineering for Women, Jaipur. Earlier, he was an ardent faculty member at University of Rajasthan, Jaipur. With more than four decades of experience in teaching undergraduate and postgraduate students at both Indian and foreign universities, Professor Goyal has published 20 research papers in reputed national and international journals. A life member of ISTE, he has also authored several textbooks for undergraduate, postgraduate and engineering graduate students.
Table of Contents1. BASIC CONCEPTS 2. APPLICATIONS OF ORDINARY DIFFERENTIAL EQUATIONS 3. SOLUTION OF HOMOGENEOUS FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND 4. FREDHOLM INTEGRAL EQUATIONS WITH SEPARABLE KERNELS 5. INTEGRAL EQUATIONS WITH SYMMETRIC KERNELS 6. SOLUTION OF INTEGRAL EQUATIONS OF THE SECOND KIND BY SUCCESSIVE APPROXIMATION 7. CLASSICAL FREDHOLM THEORY 8. INTEGRAL TRANSFORM METHODS