One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics.This book is designed as an introduction to the theory and applications of linear PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. Applications to a wide variety of physical problems in numerous interdisciplinary areas are discussed. The book contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided. For the reader interested in learning more about the modern treatment of the subject, many standard texts and reference books, as well as a set of selected classic and recent papers, are included in a comprehensive bibliography.Linear Partial Differential Equations for Scientists and Engineers will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics.
The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. All readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields.Also by the Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, 0-8176-4323-0.