: Each chapter concludes with objective questions and problems sourced from rigorous competitive examinations like GATE, CSIR-NET, and IAS

For those who have used an older version, the 20th edition comes with significant updates:

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Explores both Fredholm and Volterra equations of the first and second kind, including separable kernels and Neumann series solutions.

By combining rigorous theory, countless solved examples, and targeted exam preparation material within a single volume, it's no surprise that Raisinghania remains a "hot" keyword in the academic world. For your own success, find a legal, physical, or digital copy and dive into its pages—it's an investment that will pay off immensely.

Raisinghania’s book is paper-based, but your lifestyle can be digital-smart.

[Read Theory & Theorems] ➔ [Analyze Solved Examples] ➔ [Solve Unsolved Exercises] ➔ [Practice Past Exam Papers]

A major portion of the syllabus relies directly on the advanced topics, proofs, and solved examples found in this text.

Intensive focus on Sturm-Liouville problems, eigenvalues, and eigenfunction expansions.

Highly recommended for Civil Services aspirants selecting mathematics as their optional subject.

Mira’s mind kept returning to the single enigmatic line. The seminar convened around her; cameras rolled; the projector hummed as she began with the material everyone expected. Students leaned forward when she derived a delicate regularity result. The blackboard filled with integrals and eigenvalue estimates. Yet she found her thoughts drifting to the alias and the hidden questions. Who had worked through her life’s work and threaded it into something new? Who had seen the consequences she had not?

by Dr. M.D. Raisinghania is a widely recognized textbook designed for advanced undergraduate and postgraduate students in mathematics and physics, as well as aspirants for competitive exams like IAS, GATE, and CSIR-UGC NET . Core Content & Structure