Overview
- Contains new material that is not usually covered in similar texts and reference books at this level
- Applications to a wide variety of physical problems in numerous interdisciplinary areas are discussed, including fluid dynamics, elasticity, and optics
- Contains over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; selected solutions are provided
- Comprehensive bibliography includes many standard texts and reference books, as well as a set of selected classic and recent papers
- May be used as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics; may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
- conservation laws
- cylindrical wave equation
- differential equation
- finite element method
- fluid mechanics
- fractional partial differential equations
- higher-dimensional boundary-value problems
- learning
- mathematical physics
- mechanics
- modeling
- partial differential equation
- partial differential equations
- spherical wave equation
- wave equation
About this book
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.
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Linear Partial Differential Equations for Scientists and Engineers
Authors: Tyn Myint-U, Lokenath Debnath
DOI: https://doi.org/10.1007/978-0-8176-4560-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
Hardcover ISBN: 978-0-8176-4393-5Published: 15 December 2006
eBook ISBN: 978-0-8176-4560-1Published: 05 April 2007
Edition Number: 4
Number of Pages: XXII, 778
Additional Information: Originally published by Prentice Hall, 1987
Topics: Analysis, Partial Differential Equations, Applications of Mathematics, Mathematical Methods in Physics, Mathematical and Computational Engineering, Computational Science and Engineering