Hardcover. 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. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Linear Partial Differential Equations for Scientists and Engineers (Hardcover)
Publisher: Birkhauser Boston Inc, Secaucus
Publication Date: 2006
Language: English
ISBN 10: 0817643931
ISBN 13: 9780817643935
Binding: Hardcover
Edition: 4th Edition
Condition: new

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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 significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to 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, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinearpartial differential equations with applications.

Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition 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. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields.

Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN 0-8176-4323-0.

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