Integral Equations with Boundary Value Problems
by Dr. A. B. Chandramouli
₹410
Useful for
About this book
Most books stop at Fredholm and Volterra equations and leave students to piece together Green’s functions, integral transforms and perturbation theory from several different sources. Integral Equations with Boundary Value Problems by Dr. A. B. Chandramouli puts all of it into one 528-page volume.
This second revised edition (2023-24 reprint) is written for Honours, M.A. and M.Sc. students in Mathematics, Statistics, Computer Science and Physics at Indian and foreign universities. It covers every topic in the official CSIR NET, UGC NET and SLET Mathematics syllabus for integral equations, with proofs and solved examples throughout.
Dr. A. B. Chandramouli is Reader in the Department of Mathematics at Meerut College, Meerut (U.P.). Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · Foundations of Integral Equations
General concepts of integral equations; Volterra's integral equations; Fredholm integral equations; Fredholm theory
Unit 2 · Transform Methods & Boundary Value Problems
Dirac delta functions; Laplace, Fourier and Mellin transform methods; application to boundary value problems
Unit 3 · Singular Equations & Hilbert-Schmidt Theory
Singular integral equations; Hilbert-Schmidt theory
Unit 4 · Green's Functions & Potential Theory
Green's functions and BVP; modified Green's functions; advanced calculus and potential theory; higher dimensional Green's functions; perturbation theory
