Partial differential equations / Phoolan Prasad and Renuka Ravindran

Includes bibliography and index

This book provides an introductory yet rigorous treatment of partial differential equations (PDEs), authored by Prasad and Ravindran. It begins by establishing the analytic foundations — first-order PDEs, method of characteristics, and Cauchy problems for simpler systems — and progresses to more advanced topics such as second-order linear PDEs (elliptic, parabolic, hyperbolic types), their solution domains, and stability/uniqueness issues. Emphasis is placed on both theoretical framework (existence, uniqueness, stability) and applications, with worked examples and exercises to solidify understanding. The structure allows students with a background in calculus and differential equations to transition into the study of PDEs relevant to physics, engineering and applied mathematics.