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- Thread starter Gecko
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I would strongly recommend *Ordinary Differential Equations* by Morris Tenenbaum and Harry Pollard as the best introductory book I've ever read. (This is a Dover book)

It's quite extensive at over 800 pages. It's laid out in lessons instead of chapters. Each lesson has quite a few problems that can be done easily based on what has already been taught. Complete answers are given right after the problem sets in each section. It is without a doubt the very best book that I've every seen on ODEs.__Especially if you are a self-learner__.

It's also aimed toward scientists and engineers with practical applied examples. If you are looking for a more abstract approach with all the epsilon-delta proofs for each theory then this book is probably not for you. This is a good book if you want to understand ODE's intuitively. (*Although I it doesn't water stuff down either. You get all the theorems!*)

There's also a great video course on ODE's available here:

http://ocw.mit.edu/OcwWeb/Mathematics/18-03Spring2004/VideoLectures/index.htm" [Broken]

I would also recommend the Schaum's Outline on ODE's which goes along well with the MIT course, and contains many interesting word problem (again, it has a lot of hands-on intuitive stuff for practical applications without loss of generality)

All of the above assumes a full knowledge and understanding of Calculus I and II, of course.

It's quite extensive at over 800 pages. It's laid out in lessons instead of chapters. Each lesson has quite a few problems that can be done easily based on what has already been taught. Complete answers are given right after the problem sets in each section. It is without a doubt the very best book that I've every seen on ODEs.

It's also aimed toward scientists and engineers with practical applied examples. If you are looking for a more abstract approach with all the epsilon-delta proofs for each theory then this book is probably not for you. This is a good book if you want to understand ODE's intuitively. (

There's also a great video course on ODE's available here:

http://ocw.mit.edu/OcwWeb/Mathematics/18-03Spring2004/VideoLectures/index.htm" [Broken]

I would also recommend the Schaum's Outline on ODE's which goes along well with the MIT course, and contains many interesting word problem (again, it has a lot of hands-on intuitive stuff for practical applications without loss of generality)

All of the above assumes a full knowledge and understanding of Calculus I and II, of course.

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- #3

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if you're looking for cheap books (you asked about ones by dover) www.abebooks.com has a used copy of the 6th edition for US$1.00

- #4

Dr Transport

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Boyce and Diprima is a classic in the field of differential equations.

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Brown is great too

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daster

I second the Tenenbaum & Pollard recommendation!

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rachmaninoff

I second the Boyce-DiPrima - it's very clear, and also the pictures are really great (it matters!)

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The Tenenbaum & Pollard book can be purchased directly from Dover books.rachmaninoff said:

I second the Boyce-DiPrima - it's very clear, and also the pictures are really great (it matters!)

http://store.doverpublications.com/0486649407.html"

Or it can be found on Amazon.com on the web:

www.amazon.com[/URL]

the ISBN number is: 0-486-64940-7

It sells for just under $25 (under $20 at Amazon)

I haven't seen the Boyce-DiPrima book but at over $100 a copy comparing it with Tenenbaum & Pollard would be like comparing apples and caviar.

Tenenbaum and Pollard is a Dover book. That's nothing to sneeze at. It is very well organized, and well written. I have yet to find a misprint, typo, or mistake (of course I haven't finished the book yet either). It doesn't contain any color pictures. All of the graphs and figures are very simple in black & white, but they convey all the information needed to make the point.

It's a small (5-3/8" x 8-1/2"), but very thick (818 pages) paperback.

I love the way that it's laid out in lesson plans. [B][u]It's really aimed toward self-learners[/u][/B]. :approve:

You can view the Table of Contents on Amazon.com

[B]P.S.[/B] I'm not affiliated with this book in any way. I just love it! :biggrin:

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- #9

graphic7

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I'm using Stephen A. Sapterstone's text this semester; it's not bad, fairly concise. I've also been using Tenenbaum & Pollard's ODE text as a suplement.

Edit: If you plan on taking numerical analysis, or you have a concentration in Applied Mathematics, I would not rely too heavily upon the numerical solutions chapter in Tenenbaum & Pollard (the original publication date is 1963). Boyce & Diprima and Saperstone have much more detailed and recent information on numerical solutions to ODEs.

Edit: If you plan on taking numerical analysis, or you have a concentration in Applied Mathematics, I would not rely too heavily upon the numerical solutions chapter in Tenenbaum & Pollard (the original publication date is 1963). Boyce & Diprima and Saperstone have much more detailed and recent information on numerical solutions to ODEs.

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5 minutes after opening to the chapter on linear, diff eq's of order greater then 1, it answered 5 questions that I was going to ask my professor about tonight. This book was written by a team that understands, not everyone that takes a differential equations class is planning on being a mathematician. They, not only, seem to realize that there might be 1 or 2 people out that there that didn't get straight A's in all their previous math classes, but there might be a few of us that missed an important topic here or there in our math classes. This is unlike my text book, that seems to assume that you memorized every theorem, trick, and shortcut taught in 2 semesters of algebra and 2 semesters of calculus. All I can say is THANK YOU, THANK YOU, THANK YOU, to everyone that recommended this book as a supplement.

I can't say for sure that it's the best book for everyone, but for someone like me, that seems to always get the big concepts easily and then spends hours stuck on problems because of some small, missed, detail, it is perfect.

- #11

mathwonk

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good dover books on d.e. include those by earl coddington (intro), and by witold hurewicz (theoretical), and I suspect the one by John Dettman is good.

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