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

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SUMMARY

The discussion centers on recommendations for advanced applied mathematics books suitable for individuals with a background in Mechanical Engineering and knowledge of Calculus, Differential Equations, and Linear Algebra. Key suggestions include "Div Grad Curl and All That" by Schey and "Introduction to Applied Mathematics" by Gilbert Strang, which the user is revisiting for deeper understanding. Additionally, "Computational Science and Engineering" by Strang is mentioned as a related text, along with the availability of his video lectures for further learning.

PREREQUISITES
  • Understanding of Calculus 1-3
  • Knowledge of Differential Equations
  • Familiarity with Linear Algebra
  • Basic concepts of the finite-element method
NEXT STEPS
  • Explore "Div Grad Curl and All That" by Schey for vector calculus applications
  • Study "Introduction to Applied Mathematics" by Gilbert Strang for foundational concepts
  • Investigate "Computational Science and Engineering" by Gilbert Strang for computational techniques
  • Watch Gilbert Strang's video lectures to reinforce learning
USEFUL FOR

Mechanical engineers, applied mathematicians, and students seeking to deepen their understanding of applied mathematics concepts and their applications in engineering contexts.

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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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