
Ebook Info
- Published: 2007
- Number of pages: 800 pages
- Format: PDF
- File Size: 5.00 MB
- Authors: Tyn Myint-U
Description
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.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐Not sure why there is so much hate for this book. It is very good. If you are wanting to get a taste of applied mathematics/physics then this is a good start. If not then that is fine too, but roughly half of the book will not be useful for you. I feel as if one of the reasons why this book gets bad reviews is because people don’t know what to do with so much information. You definitely need to take your time with this book read the chapter from beginning to end or you might end up getting stuck later on in the chapter. The book is very “modern” in the sense that it doesn’t use any odd dated language or wording (looking at you, dover). Additionally, if you are not interested in applications then you will spend a lot of time flipping pages/lines/paragraphs/etc.. If you want what essentially is a first course in PDE then go by the following:1. Introduction6. Fourier Series/Integrals7. Separation of Variables12. Integral Transforms14. Numerical Approximation MethodsOther chapters can be read into for the first few sections to get the general idea of the topic. There is definitely two semesters worth of material in this book. It will always have a spot on my shelf.
⭐I like this book. It has great coverage, but is fairly easy reading for me, IMO. This book is a good introduction to the material for me. There are a lot of typos. Not sure why, since this is the 4th edition. Somewhat lacking in rigor, and some of the arguments and presentation are not in the best order. But, looks good for getting a panoramic view of the subject. Some ODE topics are included, also. If this book were more rigorous, it probably wouldn’t be as readable.
⭐This is definitely one book that means it when the title says “for Scientists and Engineers.”Too many math texts say this, but spend a lot of time on proofs and lengthy explanations.Engineers/scientists need to obtain a proficiency in solving problems, not just an understanding. And this is where the text excels. TONS of example problems with great, step-by-step solutions. Even more practice problems with answers in the back. Covers pretty much every PDE solution method that an engineer could ask for.Of course, if your looking for theory, you should look elsewhere. Although this books talks about existence/uniqueness, completeness, solvability, that is not the primary focus. But, if you want to be the person that all your colleagues go to when they need help solving a PDE, this is your ticket.
⭐I received the book with the inside cover already coming off, something that would be expected if the book had been open thousands of times. It is supposed to be a new book. Would have returned it and got a different one but I needed it for class.
⭐This is the text for my class. Very text heavy. Very brief definitions. One good thing is the select answers in the back of the book, except some of them are wrong.
⭐Lots and lots and lots of typos and very convoluted, obtuse explanations with many missing steps. Not helpful for students trying to learn PDEs; might be great for those already very familiar with them. Topics are quiet out of order, as my instructor had to supplement and jump around a lot.
⭐Stuart Smith of CSU East Bay gifted me this bible by making it a somewhat mandatory purchase for his course in PDE. Boy did I not regret it. What a man you feel like when you get your hands on this bible of PDE. Forget the Old Testament, the Torah, or whatever religious text you have besides Hinduism, my preferred religion as a scientist, and choke on this for a while. Like drinking marshmallows from a water pail. Full of sweet, hard to swallow, but when you get it down mmmm until you barf it back up and realize you’re sick. Just kidding. It’s not that bad.It’s treatment of Fourier Analysis is pretty good, at the right level for the book, because it’s not some gnarly treatise on PDE by Hormander written in a practically foreign language to your regular ol’ mathematical physicist like me. It’s written for a gentleman who wants to solve some PDE’s and know a bit about the structure of the theory, practically speaking, without getting into all the details of Lebesgue theory. Of course, you will want to learn some advanced Real Analysis and do the theory properly to understand all the convergence issues, but this book suits for now as a pretty standard tome on the subject while staying down to Earth and very rooted in Physics, the God of PDE.Now I suggest you also look at his book on Nonlinear. None of his books are quite easy to read, they take some time and meditation and they are books to have for a lifetime, not little baby books you read for a week and throw out like the newspaper, unlike some of the skinny Dover’s for example. This book is your fat girlfriend who gives you all the honey long term. Got it?
⭐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!
⭐I wold like to inform you that the received book is a print out version of the original book. I have compare with the original book (forth edition ) and find out the following defects:1. Problems on the Hard binding and gum pasted in the few front pages.2. Page cutting completely visible from the sides.3. Quality of page and font of the words less deep.
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