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Comments on Ask MetaFilter post Need a good PDE text 4 the hard times...Tue, 12 Feb 2008 12:28:41 -0800Tue, 12 Feb 2008 12:28:41 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Question: Need a good PDE text 4 the hard times...
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times
Anyone know a good introductory text to partial differential equations? <br /><br /> I'm taking a course in partial differential equations and we're using <a href="http://www.amazon.com/exec/obidos/ASIN/0387906096/metafilter-20/ref=nosim/">Fritz John's book</a>, which I'm finding hard to learn from. It's written in a very dense, compact style, and he doesn't slow down to explain anything. It doesn't have very many pictures or graphs either, and it's hard for me to visualize all this stuff.<br>
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Can anyone recommend a good introductory text to partial differential equations with lots of hand-holding, graphs, and the like? I've seen a few at my library, but they seem to stress Fourier series, whereas our course (judging by the book) will only be touching on them. I've seen other, "cookbook"-like textbooks that show how to solve various PDEs that crop up in physics and engineering, but our course is more theory-based.<br>
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Bonus points if the book is commonly available in university libraries or can be found used.post:ask.metafilter.com,2008:site.83482Tue, 12 Feb 2008 12:23:56 -0800pravitpartialdifferentialequationsPDEstextbookBy: swordfishtrombones
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1235839
Did you try <a href="http://www.amazon.com/exec/obidos/ASIN/0471319988/metafilter-20/ref=nosim/">Boyce & DiPrima</a>?comment:ask.metafilter.com,2008:site.83482-1235839Tue, 12 Feb 2008 12:28:41 -0800swordfishtrombonesBy: universal_qlc
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1235904
I adore my Farlow PDE book - it's by Dover, so it's cheap, lots of really good examples. It's geared towards scientists and engineers, so it's probably not terribly rigorous, but i use it far more than Boyce/DiPrima or anything else I had in college.comment:ask.metafilter.com,2008:site.83482-1235904Tue, 12 Feb 2008 12:57:26 -0800universal_qlcBy: Loto
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1235914
Seconding Boyce and DiPrima. It's a very easy book to follow.comment:ask.metafilter.com,2008:site.83482-1235914Tue, 12 Feb 2008 13:01:03 -0800LotoBy: onalark
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1235937
Hi pravit, my Applied Mathematics department uses <a href="http://www.amazon.com/exec/obidos/ASIN/0130652431/metafilter-20/ref=nosim/">Haberman </a>to teach PDEs, mostly to students with engineering backgrounds. Haberman is definitely a cookbook guy, but he does a good job of explaining WHY the standard recipes for the heat and wave equations work. His book has plenty of picture examples, and it's my recommendation for you, but here are a couple other books to be aware of:<br>
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MIT appears to use <a href="http://www.amazon.com/exec/obidos/ASIN/0471548685/metafilter-20/ref=nosim/">Strauss</a> for their introductory PDE class, which is available on <a href="http://ocw.mit.edu/OcwWeb/Mathematics/18-152Fall-2004/Readings/index.htm">Open Courseware</a>. I have no experience with this book.<br>
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I would stay away from <a href="http://www.amazon.com/exec/obidos/ASIN/0821807722/metafilter-20/ref=nosim/">Evans</a>, a solid PDE textbook, but probably not what you're looking for. I took a graduate level class with Evans, and it is extremely well-written, but low on examples and pictures.<br>
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Also, just out of curiosity, what concepts are giving you the most difficulty? It's possible that what you really need is a good linear algebra, multivariate calculus, or ODE book (like Boyce & DiPrima) to fill you in on what your current book considers a pre-requisite.comment:ask.metafilter.com,2008:site.83482-1235937Tue, 12 Feb 2008 13:17:37 -0800onalarkBy: nat
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1235974
Strauss is what I had. I don't think it's what you're looking for. It is more theory based, but I wouldn't describe it as doing any hand-holding-- I certainly could've used a better hand-holder when I was first doing PDEs.<br>
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If it's the proofs that are giving you issues, a good real analysis book might actually be of more use; I know I understood the proofs behind PDEs tons better after my analysis course.comment:ask.metafilter.com,2008:site.83482-1235974Tue, 12 Feb 2008 13:35:28 -0800natBy: casaubon
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1235983
I feel you. I took a graduate level PDE class last semester and was woefully unprepared (as a physicist by training). We used lecture notes culled from the professor's own PDE textbook (see <a href="http://www.amazon.com/exec/obidos/ASIN/0817637087/metafilter-20/ref=nosim/">DiBenedetto</a>). You may be able to find that in your university library.<br>
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A list of PDE books can be found <a href="http://www.ericweisstein.com/encyclopedias/books/PartialDifferentialEquations.html">here</a>. Throughout the course I recall referencing <a href="http://www.amazon.com/exec/obidos/ASIN/0126546568/metafilter-20/ref=nosim/">Sommerfeld</a>, <a href="http://www.amazon.com/exec/obidos/ASIN/0828403252/metafilter-20/ref=nosim/">Garabedian</a>, <a href="http://www.amazon.com/exec/obidos/ASIN/0882753304/metafilter-20/ref=nosim/">Epstein</a>, and a few others (Harrison comes to mind, but I can't seem to find that book). <br>
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There doesn't really seem to be a good, rigorous treatment of PDEs at a moderate level of difficulty. The books seem divided between elementary, "cookbook" presentations, and advanced texts designed for upper level graduate students. I think the best thing to do is try and pinpoint your weaknesses are and find a text suitable to them - I spent a lot of time just reviewing basic analysis, ala Rudin.comment:ask.metafilter.com,2008:site.83482-1235983Tue, 12 Feb 2008 13:39:29 -0800casaubonBy: pravit
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1236282
Thanks for the responses!<br>
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Just back from the library. I looked at the Boyce & DiPrima book, but it didn't seem to have very much about partial differential equations. They didn't have the Strauss book and somebody already got the Haberman book, but here's what I found:<br>
<a href="http://www.amazon.com/exec/obidos/ASIN/1571460365/metafilter-20/ref=nosim/"><br>
Basic Partial Differential Equations</a> by David Bleecker and George Csordas. It seems to explain a lot more and goes at a slower pace, along with lots of pictures, so I hope it will help.<br>
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Thanks for the Farlow recommendation - I might just snag it off Amazon since it's quite cheap.comment:ask.metafilter.com,2008:site.83482-1236282Tue, 12 Feb 2008 17:12:02 -0800pravitBy: pravit
http://ask.metafilter.com/83482/Need-a-good-PDE-text-4-the-hard-times#1244307
Hey, I found another good introductory PDE book, in case anyone later on finds this thread!<br>
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The book is "Partial Differential Equations" by Phoolan Prasad and Renuka Ravindran. It might be kind of hard to find (try checking the library). I'm finding it more clear and easier to follow.comment:ask.metafilter.com,2008:site.83482-1244307Tue, 19 Feb 2008 14:35:40 -0800pravit