Nonlinear Partial Differential Equations for Scientists and Engineers (PDF)

"This book provides a valuable survey of…nonlinear partial differential equations and their methods of solutions…at the end of each chapter [there are] exercises that help build an understanding of the subject matter, …and in many cases [these exercises] provide an extension of material found in the main body of the text…the style of writing is clear and concise and the choice of topics is comprehensive."—Zentralblatt Math (Review of First Edition)

"The book is written in a lucid, no-nonsense style that will be a pleasure for any serious reader. The author's emphasis is on the physical significance of the solutions and less on such mathematical subtleties as existence and uniqueness properties. ...The text is designed and organized primarily for classroom use. It can be used selectively, or the whole book can be used for a two-semester course. It can also serve as a reference and as a starting point for further study. Each chapter contains numerous, well-chosen exercises, and selected solutions are provided at the end of the book, making it suitable for self-study. ...I hope this book will succeed in bringing new developments in PDEs to those classrooms in which students have so far been limited to the classical results."—Computing Reviews (Review of First Edition)

"In an effort to make the book useful for a diverse readership, modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation."—Booknews (Review of First Edition)

"Debnath's book comprehensively surveys methods for solving partial differential equations as well as a complete and thorough analysis of their solutions. The book is well designed for graduate students in physics, engineering, and applied mathematics sequences, and scientists and engineers whose projects require the solution of partial differential equations. It provides an excellent introduction to linear partial differential equations, together with a rigorous treatment of well-selected, real-world examples and methods of solution of nonlinear partial differential equations and their significance. Problems and exercises well suited for use in graduate classes, for example, are completely solved to illustrate the various methods presented. Debnath's book will certainly be an invaluable resource for self-study as well as a reference text for scientists, engineers, and applied mathematicians. Exceptionally well written. Highly recommended." —Choice (Review of First Edition)

"This monograph represents a systematic and complex treatment of linear and nonlinear PDE. The book offers not only a rich material for a graduated level course for mathematics, science and engineering students, but also a reference work for a serious and advanced study and research in PDE. … contains a wide spectrum of exercises, carefully chosen, included at the end of each chapter. … We recommend this book as an example of how to do the mathematics more accessible and applicable to the physical reality." (Liliana Popa, Iasi Polytechnic Magazine, Vol. 18 (1/4), 2006)