Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) by Jeffery M. Cooper | (PDF) Free Download

Description

Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi­ cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Got this for a class that I was sitting in on until I became to busy between work and school. Therefore, I really can not get a good review on this book.

⭐I purchased the Kindle version. The typos are simply intolerable. Learning partial differential equations is difficult. This book makes it unbearable.

⭐This book does some things very well and some things not so well, depending on your perspective. Perhaps one of its problems is that it attempts to straddle the line between being a book for scientists and being a book for math students.That said, it could stand a fairly hefty reorganization. For example, the relationship between Green’s functions, weak solutions, and fundamental solutions could be brought together in an early chapter instead of spread throughout the book. Same goes for material on eigenfunction expansion.The material on a given PDE for one dimension should probably be at least near the chapter on the same PDE in multiple dimensions, rather than being separated by 6-7 chapters.On top of this, the material is sometimes hard to follow in terms of motivation and justification. This is not uniform, however, and some parts of the book are quite clear. And, all things considered, it does a fairly good job of presenting things rigorously without alienating its potential audience of scientists and engineers who are not as versed in proof-based books.Aesthetically, there are a lot of somewhat serious typos and the typography is atrocious. For example, parentheses are not sized properly, bars written over letters do not cover the letters as they should. These are basic and easy to fix LaTeX errors, and it gives the book an appearance of having been rushed or at least not given the attention to detail it should have been.

⭐This is a fairly challenging text. It’s currently being used in my undergrad PDE course, and the flow of material is a bit out of the ordinary. The book starts off with the method of characteristics and weak solutions, which are slightly more sophisticated and unusual topics than some of the later material, making it difficult to get started. The focus on using Matlab is nice, and most things are fairly well-explained. Typographical errors are rampant, however, making it very poor for self-study (you need someone to point out the errors to you).All in all, not bad — the second edition will hopefully be much better, and if you have a decent grounding in multivariate calc and ODE’s, you’ll be OK.

Keywords

Free Download Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) in PDF format
Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) PDF Free Download
Download Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) 2012 PDF Free
Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) 2012 PDF Free Download
Download Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis) PDF
Free Download Ebook Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis)