#27 in Engineering & transportation books
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Reddit mentions of Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics)
Sentiment score: 10
Reddit mentions: 16
We found 16 Reddit mentions of Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics). Here are the top ones.
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Specs:
| Height | 9.25 Inches |
| Length | 6 Inches |
| Number of items | 1 |
| Release date | September 1993 |
| Weight | 1.35 Pounds |
| Width | 1 Inches |
Here's my rough list of textbook recommendations. There are a ton of Dover paperbacks that I didn't put on here, since they're not as widely used, but they are really great and really cheap.
Amazon search for Dover Books on mathematics
There's also this great list of undergraduate books in math that has become sort of famous: https://www.ocf.berkeley.edu/~abhishek/chicmath.htm
Pre-Calculus / Problem-Solving
Calculus
Linear Algebra
Differential Equations
Number Theory
Proof-Writing
Analysis
Complex Analysis
Functional Analysis
Partial Differential Equations
Higher-dimensional Calculus and Differential Geometry
Abstract Algebra
Geometry
Topology
Set Theory and Logic
Combinatorics / Discrete Math
Graph Theory
P. S., if you Google search any of the topics above, you are likely to find many resources. You can find a lot of lecture notes by searching, say, "real analysis lecture notes filetype:pdf site:.edu"
/u/another_user_name posted this list a while back. Actual aerospace textbooks are towards the bottom but you'll need a working knowledge of the prereqs first.
Non-core/Pre-reqs:
Mathematics:
Calculus.
1-4) Calculus, Stewart -- This is a very common book and I felt it was ok, but there's mixed opinions about it. Try to get a cheap, used copy.
1-4) Calculus, A New Horizon, Anton -- This is highly valued by many people, but I haven't read it.
1-4) Essential Calculus With Applications, Silverman -- Dover book.
More discussion in this reddit thread.
Linear Algebra
3) Linear Algebra and Its Applications,Lay -- I had this one in school. I think it was decent.
3) Linear Algebra, Shilov -- Dover book.
Differential Equations
4) An Introduction to Ordinary Differential Equations, Coddington -- Dover book, highly reviewed on Amazon.
G) Partial Differential Equations, Evans
G) Partial Differential Equations For Scientists and Engineers, Farlow
More discussion here.
Numerical Analysis
5) Numerical Analysis, Burden and Faires
Chemistry:
Physics:
2-4) Physics, Cutnel -- This was highly recommended, but I've not read it.
Programming:
Introductory Programming
Programming is becoming unavoidable as an engineering skill. I think Python is a strong introductory language that's got a lot of uses in industry.
Core Curriculum:
Introduction:
Aerodynamics:
Thermodynamics, Heat transfer and Propulsion:
Flight Mechanics, Stability and Control
5+) Flight Stability and Automatic Control, Nelson
5+)[Performance, Stability, Dynamics, and Control of Airplanes, Second Edition](http://www.amazon.com/Performance-Stability-Dynamics-Airplanes-Education/dp/1563475839/ref=sr_1_1?ie=UTF8&qid=1315534435&sr=8-1, Pamadi) -- I gather this is better than Nelson
Engineering Mechanics and Structures:
3-4) Engineering Mechanics: Statics and Dynamics, Hibbeler
6-8) Analysis and Design of Flight Vehicle Structures, Bruhn -- A good reference, never really used it as a text.
G) Introduction to the Mechanics of a Continuous Medium, Malvern
G) Fracture Mechanics, Anderson
G) Mechanics of Composite Materials, Jones
Electrical Engineering
Design and Optimization
Space Systems
An Introduction to Ordinary Differential Equations - $7.62
Ordinary Differential Equations - $14.74
Partial Differential Equations for Scientists and Engineers - $11.01
Dover books on mathematics have great books for very cheap. I personally own the second and third book on this list and I thought they were a great resource, especially for the price.
As another option, a relatively easy-to-read book is Farlow's book on PDEs for Scientists and Engineers. It breaks up a bunch of PDE topics (everything from the Heat Equation to perturbation methods) into short lessons using a relatively informal, non-rigorous approach. I'd highly recommend it for beginners and for those who'd like a quick overview of the applications of PDEs to areas in Physics/Engineering.
Just get yourself a copy of this and celebrate with beer.
I have two recommendations:
http://www.amazon.com/Differential-Equations-Scientists-Engineers-Mathematics/dp/048667620X/
This is an excellent survey that saved my bacon as a physics BS student transitioning to graduate PDE in math. The text is clear and divided into easily consumable lectures. It's also available for $10, a bargain.
http://www.amazon.com/Partial-Differential-Equations-Action-Universitext/dp/8847007518
This is the book I would recommend as a "second pass" through PDE. If you pursue the subject as a graduate student, this will give you information necessary as you transition to applying real analysis and basic functional analysis ideas to solving PDEs. It has a very holistic approach, but uses a lot of ideas and tools that I didn't see until graduate school. It's a great self-study (but definitely higher level than Farlow), and would be an excellent book to convince your graduate level PDE teacher to give a two semester course from(assuming they were of a more cooperative disposition).
I used this book for my PDE class. It's meant to be supplemented with notes, but it does a decent job explaining material on it's own. That and it's super cheap for a math book.
Note that it has several errors in the answer key.
Check out Partial Differential Equations for Scientists and Engineers by Stanley Farlow. I've recommended it to another engineer in the past and he seemed to find it useful.
I have these two text books on PDE's
https://www.amazon.com/Partial-Differential-Equations-Bleecker-University/dp/1571460365
https://www.amazon.com/Differential-Equations-Scientists-Engineers-Mathematics/dp/048667620X/
The second book is more of a stereotypical cook-book math text. Idk if that's what you're looking for or not but it's inexpensive anyways and does a good job for its purpose.
The first textbook is very well done and is for beginners. However right now it's on the expensive side but when I bought it it was only 30 dollars. So if you wait a little bit the price may drop.
Also one last comment about the first textbook is that the order of the topics is abnormal. The first chapter does a summary of ODE which makes sense. However the first PDE material in the book covers first order PDE's which in my experience is not normal. Usually when people first learn PDE they learn about the heat and wave equations which are second-order PDE's. Idk if you care but I thought I'd just comment on that.
Graduate or undergraduate level?
If graduate, this is THE book to get.
This is much more applied.
I liked this book. More suited to engineers then mathematicians but still good.
https://www.amazon.com/Differential-Equations-Scientists-Engineers-Mathematics/dp/048667620X/ref=sr_1_2?ie=UTF8&keywords=partial+differential+equations&qid=1389076166&sr=8-2
I've used this one by Farlow in the past. It's got solutions to most of the common PDE's you'll find in other books, but it's a lot cheaper. It's also less formal than a lot of other books, which may be good or bad depending on your taste.
If you're looking for something that covers a bit more than just PDE's, O'Niel's book isn't too bad.
I don't have any PDFs, but here is a good one you can get for pretty cheap. I used it as an undergrad and still refer back to it.
You might also try this Dover book.
Hope that helps.
That book is quite dry and abstract.
If you want more "why" and applications, try a book aimed at physicists or engineers.
Maybe this one for example
https://www.amazon.co.uk/Partial-Differential-Equations-Scientists-Engineers/dp/048667620X
My professor wrote this this book. It is excellent if you already have a memory of PDE's. It is also inexpensive.
I like Partial Differential Equations for Scientists and Engineers.