Integral Equations with Boundary Value Problems for M.A. & M.Sc. | 2nd Revised Edition | Useful for CSIR NET, UGC NET, GATE & SLET | Dr. A. B. Chandramouli | Shree Shiksha Sahitya Prakashan

Struggling to find a single book that covers BOTH integral equations AND boundary value problems at the depth CSIR NET, UGC NET, and GATE Mathematics demand? Most books stop at Fredholm and Volterra equations and leave you to piece together Green's functions, transforms, and perturbation theory from five different sources.

Integral Equations with Boundary Value Problems by Dr. A. B. Chandramouli puts everything in one 528-page volume — from the definition of an integral equation to advanced Perturbation Theory and Potential Theory. This second revised edition (2023-24 reprint) is designed for Honours, M.A., and M.Sc. students in Mathematics, Statistics, Computer Science, and Physics at all Indian and foreign universities.

CHAPTER COVERAGE (14 Chapters, 528 pages):

Chapters 1-4 build the complete foundation: General Concepts of Integral Equations, Volterra's Integral Equations, Fredholm Integral Equations, and Fredholm Theory. Chapters 5-7 cover Dirac Delta Functions, Integral Transform Methods (Laplace, Fourier, Mellin transforms) and their application to boundary value problems. Chapters 8-9 go deeper with Singular Integral Equations and Hilbert-Schmidt Theory. Chapters 10-13 deliver a 180-page deep dive into Green's Functions & BVP, Modified Green's Functions, Advanced Calculus & Potential Theory, and Higher Dimensional Green's Functions. Chapter 14 covers Perturbation Theory — essential for Physics and Mathematics students.

EXAM ALIGNMENT:

Integral equations (Volterra, Fredholm, resolvent kernels, characteristic numbers, eigenfunctions) is an explicit unit in the CSIR-UGC NET / JRF Mathematics syllabus. Green's functions and BVP appear in GATE Mathematics (MA paper). SLET examinations across multiple states also include these topics.

AUTHOR: Dr. A. B. Chandramouli — M.Sc., M.Phil., Ph.D. Reader, Department of Mathematics, Meerut College, Meerut (U.P.). His structured step-by-step approach has made this the preferred reference for postgraduate students across North Indian universities.

Published by Shree Shiksha Sahitya Prakashan, Meerut. ISBN: 978-93-94815-20-9.