Good calculus based intro physics text book

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A user seeks recommendations for a physics textbook that extensively incorporates calculus beyond basic definitions, expressing dissatisfaction with "Fundamentals of Physics" by Halliday & Resnick for its limited use of calculus in problem-solving. They feel that the current text primarily focuses on algebraic practices rather than the deeper relationship between calculus and physics. Another participant suggests a free online resource that aligns better with their preferred mathematical style, emphasizing equations and justifications. The original poster appreciates the recommendation but notes they haven't fully evaluated the problem sets yet. The discussion highlights the desire for a more calculus-integrated approach to learning physics.
farleyknight
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I'm not sure if this is the right forum, but I'd like to know: What's a good physics text that uses calculus? I mean, not just uses calculus in the definitions of velocity and acceleration and whatnot, but uses it in almost all the problems? I find my current text, "Fundamentals of Physics" by Halliday & Resnick uses calculus only in definitions and a handful of problems. I thought calculus had a very deep relationship w/ physics, but I'm finding the ideas only have a cursory relationship, and that you could almost skirt around this issue if you use the discrete difference definitions. Suffice to say, most of the problems in the textbook are just practices in algebra. Anyone have any suggestions?

Thanks in advance.
 
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Delphi51 said:

Thank you for the recommendation. Just took a quick peek and it seems closer to the math style that I like, i.e. giving equations and their justifications, along with some side remarks, in lock-step.

The problems I can't quite comment on, as they were a bit long, so I didn't get a chance to read through them, although I will.. I guess my main beef with the book I mentioned in the OP was that most of the values in the problems were constants or very simple linear functions. Only a few problems used functions which we needed mechanics of calculus to actually solve the questions, which, if I'm not mistaken, is where much of "real physics" is at, correct?
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...

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