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Physics based Calculus exercise books

  • #1

Main Question or Discussion Point

While still at an ongoing journey with calculus, would there be any book recommendations that will allow to apply calculus in physics/astrophysics based scenarios?

Should one too complete a course in multrivariable calculus and get very comfortable with vectors before doing such problems, or is knowing single variable calculus be sufficient when starting up while learning multivariable in conjunction?

Book recommendations are welcomed. Bachelor/Masters level.
 

Answers and Replies

  • #2
vanhees71
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Take any theoretical-physics textbook on classical mechanics. There you can do a lot with single-variable calculus, because you describe a particle's trajectory as a (vector-valued) function of the single variable, time. My favorite here is Landau and Lifshitz Vol. 1 although there you need the calculus of variations, because it's based on Hamilton's principle from the very beginning (which is the most important principle for entire physics ever discovered by mankind). If you like the Newtonian approach with forces better, take A. Sommerfeld, Lectures on Theoretical Physics, Vol. 1 or the Feynman Lectures vol. 1.

For multivariable calculus (oder better said vector analysis) the ideal and most fascinating playground is classical electrodynamics. Here the standard textbook is J. D. Jackson, Classical Electrodynamics. I also like J. J. Schwinger, Classical Electrodynamics and the Feynman Lectures vol. 2.
 

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