Math required for advanced classical mechanics

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SUMMARY

Students entering a classical mechanics course at the level of Landau and Lifshitz must be proficient in algebra, geometry, trigonometry, calculus, multivariable calculus, differential equations, and the calculus of variations. While these are the essential mathematical foundations, familiarity with vectors and linear algebra is also highly beneficial. Physics courses typically outline prerequisite mathematics and supplement additional mathematical concepts as needed throughout the curriculum.

PREREQUISITES
  • Algebra
  • Calculus (including multivariable calculus)
  • Differential equations
  • Linear algebra (vectors)
NEXT STEPS
  • Study the calculus of variations for advanced mechanics applications
  • Explore differential equations in the context of classical physics
  • Review linear algebra concepts, focusing on vector spaces and transformations
  • Examine the mathematical methods used in Kleppner & Kolenkow for additional insights
USEFUL FOR

Students preparing for advanced classical mechanics courses, educators designing physics curricula, and anyone seeking to strengthen their mathematical foundation for physics applications.

Josh0768
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What types of math should a student be comfortable with going into a classical mechanics class at the level of Landau and Lifshitz? And are there any additional types of math that aren’t required, per se, but would be beneficial to know (for said course)?
 
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Well since no one else has responded, I will guess (since I don't have L&L my guess is based on Kleppner & Kolenkow). Algebra, geometry, trig, calculus, multivariable calc, diff eq, calculus of variations. Physics classes normally have specified pre-reqs and then they teach additional math as needed.
 
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I'm no physicist but definitely differential equations and vectors (more generally linear algebra).
 

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