Partial Differential Equations with Fourier Series and Boundary Value Problems

by Nakhlé H. Asmar

This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section.
Relevant Mathematica files are available for download from author Nakhlé Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the book includes information on how instructors may request the Instructor Solutions Manual.
The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations.

Genres: Mathematics, Nonfiction, Textbooks

816 pages, Paperback

First published May 24, 2004

Reviews

[Nurhusnina Mohd Supian · Rating 4 out of 5]

This book is really good for those who want to start learning partial differential equations. It describes how to change partial differential equation to ordinary differential equation by using several methods. Before learning more advance pde, I recommended students to understand the concept in this book. It really helps me a lot.

[Carlos · Rating 1 out of 5]

This book did not have good explanation nor good examples and am mystified as to the reason why it was recommended by the instructor. Not only were the examples not worked out properly, or almost at all, it also left a lot of explanations as end of chapter problems. In summary, I did not find it particularly helpful and would recommend a different reference for a PDE’s course.

[Joe Cole · Rating 5 out of 5]

the book is free of choppiness and ambinguous wording, and the graphs are where they should be (in the middle of the text instead of hidden at the borders like most books do, a pet peeve of mine). I was able to follow the text on my own and answer a number of questions I had upon completion of my undergraduate studies

[Kouver · Rating 2 out of 5]

A great way to make repeated illustrations of separation of variables method span 816 pages. Grow a pair and find a real PDE book with proofs and theory development.

[Aryan Prasad · Rating 2 out of 5]

The book focuses heavily on Fourier's series and modelling the vibration of a string but is lacking in more general method and rigorous theory. Most suitable for students of Physics or Engineering than mathematics.

Will continue with Ordinary and Partial Differential Equations and Linear Partial Differential Equations for Scientists and Engineers (which despite the name is much more rigours) till I find a better alternative.

[Hemal · Rating 4 out of 5]

yes

[Tuba Taçyıldız · Rating 5 out of 5]

really good to ımprove mathematics