Physics based Calculus exercise books

In summary, for those looking to apply calculus in physics and astrophysics, it is recommended to have a strong understanding of both single-variable and multivariable calculus. Book recommendations for single-variable calculus include Landau and Lifshitz Vol. 1, A. Sommerfeld's Lectures on Theoretical Physics, and the Feynman Lectures vol. 1. For multivariable calculus, J. D. Jackson's Classical Electrodynamics and J. J. Schwinger's Classical Electrodynamics are suggested textbooks.
  • #1
ThusSpokeTitus
1
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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.
 
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  • #2
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.
 

1. What is the purpose of a "Physics based Calculus exercise book"?

The purpose of a "Physics based Calculus exercise book" is to provide practice problems and exercises that combine both physics and calculus concepts. This allows students to apply their knowledge of both subjects in a practical and integrated way.

2. Is it necessary to have a strong understanding of both physics and calculus to use these exercise books?

Yes, it is necessary to have a strong understanding of both physics and calculus in order to effectively use these exercise books. These books are meant to challenge students and require a solid foundation in both subjects in order to successfully solve the problems.

3. Are these exercise books suitable for all levels of physics and calculus students?

These exercise books may be suitable for students at various levels, but they are typically designed for students who have already completed introductory courses in both physics and calculus. Students who have a solid understanding of these subjects will benefit the most from these exercise books.

4. Can these exercise books be used for self-study or are they meant for classroom use?

These exercise books can be used for both self-study and classroom use. They are designed to provide independent practice for students, but can also be used by teachers as additional resources for in-class exercises and assignments.

5. Are these exercise books focused on specific areas of physics and calculus or do they cover a broad range of topics?

The specific topics covered in these exercise books may vary, but they typically cover a broad range of physics and calculus concepts. These include topics such as kinematics, Newton's laws, derivatives, integrals, and more. Some exercise books may also focus on specific applications, such as mechanics or electromagnetism.

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