Great Applied Math Books for Mechanics w/Calc & Diff EQ Knowledge

AI Thread Summary
The discussion centers on seeking advanced applied math book recommendations for someone with a background in Mechanical Engineering and completion of courses in Calculus, Differential Equations, and Linear Algebra. The user expresses interest in challenging material that builds on their existing knowledge. They mention "Div Grad Curl and All That" by Schey as a potential choice and highlight Gilbert Strang's "Introduction to Applied Mathematics" as a book they are revisiting, appreciating its content more deeply. Additionally, they are exploring Strang's "Computational Science and Engineering" through interlibrary loan and suggest checking out Strang's video lectures for further learning.
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I have completed Calc 1 - 3 Diff EQ and Linear Algebra and have a degree in Mechanical Eng. I have some free time this summer and am looking for suggestions on a book that deals with applied math at a level somewhat above the courses I have listed. I would like to be challenged and have to material relate to my background listed above.

My only thought right now is Div Grad Curl and all that by Schey. I would like some more ideas to choose from. Thanks!
 
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I have become interested again in a book that has been on my shelf for a while
Gilbert Strang's - Introduction to Applied Mathematics
www.amazon.com/Introduction-Applied-Mathematics-Gilbert-Strang/dp/0961408804[/URL]
It was a text for a course I took a while back.
I am revisiting it because I'm beginning to more deeply appreciate its contents.
(I am also trying to teach myself the finite-element method.)

Through interlibrary loan, I am awaiting a newer somewhat-related text
Strang's Computational Science and Engineering
[URL]https://www.amazon.com/dp/0961408812/?tag=pfamazon01-20[/URL]

You might want to check out his video lectures
[url]http://www-math.mit.edu/~gs/[/url]
 
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