Intro Physics Textbooks for the math of a B.S. in Physics and Engineering?

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The discussion centers on whether to prioritize practical math skills or the underlying theory. Participants suggest that for applied mathematics, particularly in engineering and physics, books like Kreyszig's and Sokolnikoff & Redheffer are more suitable than theoretical texts like Apostol's or Spivak's. Kreyszig is noted for its accessibility and relevance to engineering students, while Apostol and Spivak are considered too formal and geared towards mathematics majors, making them less appropriate for those focused on practical applications.
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Should one focus on just the ability to DO the math or also the theory behind it? Would a the book " ISBN-10: 0521679710 " suffice or should I do something to the effect of Spivak's or Apostol's calculus?
 
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I don't speak ISBN, so I cant' really address your question. For applied math (engineering/physics), I recommend books like Sokolnikoff & Redheffer, and the one by Kreyszig.
 
Kreyszig is a good choice, I think. At least it was for me when I did my B.S. in the 80s in EE. We did have Apostol as a reference in our freshman calculus class, but it's going to be too formal and proofy and really meant for math majors and not suited for what you want. Same for Spivak.
 

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