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Integral Equation & Boundary Value Problem by M. D. Raisinghania
[with Green’s function technique and its applications]



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Integral Equation & Boundary Value Problem written by M. D. Raisinghania , M.Sc., Ph.D., Formerly, Head of Mathematics Department, S.D. (Postgraduate) College, Muzaffarnagar (U.P.), India. [with Green’s function technique and its applications] [For M.A./M.Sc. (Mathematics) and M.Sc. (Physics) students of all Indian Universities/Institutions according to latest U.G.C model curriculum and various engineering and professional examinations such as GATE, C.S.I.R NET/JRF and SLET etc.] Publisher by S. Chand & Co., Year: 2013.
This book specially written as per latest UGC model carriculum for MA/M.Sc. students of all Indian universities/institutions. In addition, this book will prove very useful for students preparing for various engineering and professional examinations such as GATE, C.S.I.R. NET/JRF and SLET etc. The author possesses a very long and rich experience of teaching mathematics and has first hand experience of the problems and difficulties that students generally face. The silent features of this book are :
* The matter has been presented in a simple and lucid language, so that students themselves shall be able to understand the solutions of the problems.
* Each chapter opens with necessary definitions and complete proofs of the standard results and theorems. These in turn are followed by solved examples which have been classified in various types and methods. This classification will help the students to revise the subject matter at the time of examination without losing any confidence.
* Care has been taken not to omit important steps so that the students can understand every thing without the guidance of a teacher. Furthermore, a set of unsolved exercises is given in each chapter to instill confidence in the students.

Integral Equation & Boundary Value Problem written by M. D. Raisinghania cover the following topics.


1. PRELIMINARY CONCEPTS
2. CONVERSION OF ORDINARY DIFFERENTIAL EQUATIONS INTO INTEGRAL EQUATIONS
3. HOMOGENEOUS FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND WITH SEPARABLE (OR DEGENERATE) KERNELS
4. FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND WITH SEPARABLE (OR DEGENERATE) KERNELS
5. METHOD OF SUCCESSIVE APPROXIMATIONS
6. CLASSICAL FREDHOLM THEORY
7. INTEGRAL EQUATIONS WITH SYMMETRIC KERNELS
8 SINGULAR INTEGRAL EQUATIONS
9. INTEGRAL TRANSFORM METHODS
10. SELF ADJOINT OPERATOR, DIRAC DELTA FUNCTION AND SPHERICAL HORMONICS
11. APPLICATIONS OF INTEGRAL EQUATIONS AND GREEN’S FUNCTIONS TO ORDINARY DIFFERENTIAL EQUATIONS
12 APPLICATIONS OF INTEGRAL EQUATIONS TO PARTIAL DIFFERENTIAL EQUATIONS
13. APPLICATIONS OF INTEGRAL EQUATIONS TO MIXED BOUNDARY VALUE PROBLEMS
14. INTEGRAL EQUATION PERTURBATION TECHNIQUES
Appendix A. Boundary Value problems and Green’s identities
Appendix B. Two and three dimensional Dirac delta functions
Appendix C. Additional topics and problems based on Green’s functions
Appendix D. Additional problems based on modified (or generalised) Green’s function
Index

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