Good textbook for differential equations?

breadmonkey

I've fallen behind a bit and plan to do some catching up tomorrow. I need something that builds from the ground up, so to speak, as I've only taken little baby steps into these. Something with a lot of excercises would be nice.

Thanks.

EDIT: I did read the sticky.

Michael Collins

Well the book I mention in the sticky, Advanced Engineering Mathematics by Erwin Kreyszig is probably the best introduction to Differential Equations (both Ordinary and Partial) you can get, it does have chapters on other things as well such as Probability, Complex Analysis etc. which might suit if you're doing an engineering course but might be overkill otherwise. Only €50 in Hoggis & Figgis, Kildare Street, Dublin.

If you just want to figure out Differntial Equations, then go for Schaum's Outlines. Loads of problems and worked solutions. You can get a Schaum's Outline book on pretty much any topic, most of them are really clear and concise. Here's two on Amazon.co.uk, the second one is on partial differntial equations which you may or may not need. The best thing about these it they're so cheap, only €10 each - but still really good!

Schaum's Outline of [Ordinary] Differential Equations

Schaum's Outline of Partial Differential Equations

john30

breadmonkey wrote:

I've fallen behind a bit and plan to do some catching up tomorrow. I need something that builds from the ground up, so to speak, as I've only taken little baby steps into these. Something with a lot of excercises would be nice.

Thanks.

EDIT: I did read the sticky.

K.A. Shroud has a number of books on engineering mathematics.
For well presented self-elplanatory maths it cant be beaten.

ant.lei

This is not too bad an introduction either.
http://www.amazon.co.uk/Elementary-Differential-Equations-Boundary-Problems/dp/0471433381/sr=8-1/qid=1160262618/ref=sr_1_1/026-5024394-3990061?ie=UTF8&s=books
I does derive things properly and have a lot of illustrations.

Darren1o1

http://www.mth.uea.ac.uk/jtm/
Is free online engineering and science book in modules, not too bad, is general and goes from the basics to laplace, fourier, PDE's and ODE's.

I found Engineering Mathematics by KA shroud good for basics in engineering and the Advanced Engineering Mathematics 8th by A E. Kreyzig pretty good also.

breadmonkey

Michael Collins wrote:

Well the book I mention in the sticky, Engineering Mathematics[/URL] by Erwin Kreyszig is probably the best introduction to Differential Equations (both Ordinary and Partial) you can get, it does have chapters on other things as well such as Probability, Complex Analysis etc. which might suit if you're doing an engineering course but might be overkill otherwise. Only €50 in Hoggis & Figgis, Kildare Street, Dublin.

If you just want to figure out Differntial Equations, then go for Schaum's Outlines. Loads of problems and worked solutions. You can get a Schaum's Outline book on pretty much any topic, most of them are really clear and concise. Here's two on Amazon.co.uk, the second one is on partial differntial equations which you may or may not need. The best thing about these it they're so cheap, only €10 each - but still really good!

Schaum's Outline of [Ordinary] Differential Equations

Schaum's Outline of Partial Differential Equations

The Schuam's book is excellent. I couldn't find anything by Shroud in the library catalogue. That website looks interesting (and very extensive!) but I haven't tried it out yet. Thanks for the info.

Michael Collins

I think what john30 ment was K.A Stroud. Any decent library should have a few copies. There's two "do it yourself" style engineering maths books by him both in the same style. One is called "Engineering Mathematics" [latest is 5th edition] and another called "Advanced Engineering Mathematics" [latest is 4th edition]. The first one is bascially just leaving cert higer level stuff with a little extra, the second is a farily good book. Not as much as the Kreyszig book has much on differential equations but if may be enough for what you want.

breadmonkey

Stroud eh? I'll check tomorrow.