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linear partial differential equations for scientists and engineers

linear partial differential equations for scientists and engineers pdf

Partial differential equations – 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.

It also 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.

Book Review by Chris J.

Best PDE Book On the Market!

In college, I ended up taking two separate courses in PDE’s – one on Boundary Value Problems and the other on general solutions to linear PDE’s. In each case, I found this book absolutely indispensable. It contains everything that you would expect in a PDE book: Fourier Series, separation of variables, method of characteristics etc. What sets this book apart is the amount of detail given to the derivations; each of which is followed by many worked examples. On top of this, there are many more problems of similar difficulty (and easier and harder) given as exercises (with answers given to most in the back of the book!) Everything is self contained in sections that last only a few pages, so it’s easy to absorb everything in one sitting.

If you are taking any course in PDE’s, get this book! As the title says, this book is aimed at scientists and engineers, so the focus is more applying than proving (there are proofs, though.) But, if you’re like me and can’t prove anything without seeing how it works first than this is a non-issue. There really isn’t a better book available!

Editorial Reviews

From the Back Cover

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 nonlinear partial differential equations with applications.

Key features include:

* Applications to a wide variety of physical problems in numerous interdisciplinary areas

* Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry

* Historical comments on partial differential equations

* Solutions and hints to selected exercises

* A comprehensive bibliography―comprised of many standard texts and reference books, as well as a set of selected classic and recent papers―for readers interested in learning more about the modern treatment of the subject

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.

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