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* Download Linear Partial Differential Equations for Scientists and Engineers, by Tyn Myint-U, Lokenath Debnath

Download Linear Partial Differential Equations for Scientists and Engineers, by Tyn Myint-U, Lokenath Debnath

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Linear Partial Differential Equations for Scientists and Engineers, by Tyn Myint-U, Lokenath Debnath

Linear Partial Differential Equations for Scientists and Engineers, by Tyn Myint-U, Lokenath Debnath



Linear Partial Differential Equations for Scientists and Engineers, by Tyn Myint-U, Lokenath Debnath

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Linear Partial Differential Equations for Scientists and Engineers, by Tyn Myint-U, Lokenath Debnath

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.

  • Sales Rank: #1173664 in Books
  • Brand: Brand: Birkhäuser
  • Published on: 2006-12-15
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.21" h x 1.63" w x 6.14" l, 2.80 pounds
  • Binding: Hardcover
  • 778 pages
Features
  • Used Book in Good Condition

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.

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

 

Most helpful customer reviews

0 of 0 people found the following review helpful.
Terrible book. Wouldn't recommend reading, let alone buying it.
By Anonymous
Based on the title as well as the abundance of examples in this book, I would only have to assume that the authors wrote this book for non-Math major people or freshmen (or sophomore) with math major who are not mathematically mature yet.

I can see that the authors are trying to focus on the application side rather than theory. As a math major, I am totally cool with it. Applications are important and there should be books that are written for people who don't really care about the theory.

But, for such a book, here are two things that are absolutely not allowed:

1. Tons of typos. To make things worse, some of the typos are actually not easy to spot and actually play a role in confusing people (even for me, who knows a fair amount of things in PDE).

2. Constantly trying to get back to the theoretical side. The authors tried to strike a balance between theory and application, which as far as I am concerned, is a failure in this book. The authors, on several occasions, tried to explain rather deep theoretical phenomena without treating it rigorously (since non-math majors tend to be scared away when being thrown a bunch of big mathematical words). But without introducing the appropriate notions, the only thing that the author achieved was to confuse people more. If you want to write a PDE book without focusing heavily on theory, then stay that way! Don't change your mind half-way!

0 of 1 people found the following review helpful.
Not a good book for students.
By Acebulf
This book is a book that professors would like, but the student will hate. It's basically a bunch of equations with no explanations. If you want to learn, don't buy this book. It might be useful for a reference, but it's absolutely useless for anything else.

And for the love of god, don't use this to plan a course. The students will be completely lost and will end up hating you.

See all 6 customer reviews...

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