What are some recommended calculus-based physics books for mathematicians?

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SUMMARY

The forum discussion centers on recommended calculus-based physics books suitable for mathematicians. Key suggestions include "Physics for Mathematicians" by Michael Spivak and "Mathematical Methods of Classical Mechanics" by V.I. Arnold. Both texts emphasize mathematical rigor over trigonometric approaches, making them ideal for students with a strong calculus background. These recommendations cater specifically to those seeking a deeper mathematical understanding of physics concepts.

PREREQUISITES
  • Understanding of Calculus II concepts
  • Familiarity with mathematical rigor in problem-solving
  • Basic knowledge of classical mechanics
  • Interest in mathematical approaches to physics
NEXT STEPS
  • Research "Physics for Mathematicians" by Michael Spivak
  • Explore "Mathematical Methods of Classical Mechanics" by V.I. Arnold
  • Study advanced calculus techniques applicable to physics
  • Investigate other mathematical physics texts for deeper insights
USEFUL FOR

This discussion is beneficial for mathematicians, physics students, and educators seeking mathematically rigorous physics resources that minimize reliance on trigonometry.

Hunus
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I am currently in Calc II and am curious if anyone has any recommendations for a physics book that is less trig based and would allow me to utilize the skills I have gained with Calculus.
 
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Less trig based than what?
 

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