How Does Landau's Classical Mechanics Textbook Compare to Goldstein's?

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SUMMARY

Landau's Classical Mechanics textbook is preferred by some professors for its rigorous approach, contrasting with Goldstein's more accessible style. Students should be prepared for advanced mathematical concepts, including differential geometry, as the course will cover these topics. While Landau's terse explanations may be challenging, they reflect a traditional Russian educational emphasis on rigor. It is advisable for students to have Goldstein on hand for supplementary understanding, especially given the intensity of the course.

PREREQUISITES
  • Complex analysis
  • Linear algebra
  • Differential geometry
  • Familiarity with classical mechanics concepts
NEXT STEPS
  • Purchase Goldstein's Classical Mechanics for supplementary study
  • Review differential geometry concepts relevant to classical mechanics
  • Explore Landau's approach to physics education and its historical context
  • Investigate the differences in educational methodologies between Russian and American physics curricula
USEFUL FOR

Graduate students in physics, educators in classical mechanics, and anyone interested in the comparative analysis of physics textbooks and educational methodologies.

Kitaev_Model
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Hello, PF,

I'm going to be taking graduate CM next semester and the professor uses Landau's textbook instead of Goldstein, which I take is the usual text. What are the appreciable differences between the books and what kind of math will be needed? I have the basics-complex analysis, linear algebra, yadda yadda-but I've never taken a formal course in something "higher" like differential geometry, for instance. The professor says he will be teaching some of that in the course and that I should be fine, but I'm still a little worried for reasons you might pick up in my introduction.
 
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Landau is very terse so you may want to have Goldstein around too.
 
When Landau says "One Can Show", he means "After a dozen pages of work, and lots of swearing". I'd buy a copy of Goldstein, and assume you have a copy of something one level down, like Marion or Symon.
 
Yeah, Landau can be frustrating sometimes. When I read it the first time I thought he was just showing off, but I think the brevity of explanation there is just the way Russians do things.
 
In general Russian education(books being one of the main factors) are more rigorous. At least in mathematics. The Russians use these "rigorous" books through childhood to graduate level courses within their educational system. Ie teachers assign these books and teach out of them. Not like in America where one learns from ie geometry from a cookbook, whereas the Russians learn geometry from Kisselev. This effect keeps multiplying throughout the years.

Not sure if this is the same as in physics as it is I n math. Please correct me.
 
OK, everybody, thanks for your advice. I am not thrilled about the idea of spending money on another textbook, but it might be for the best.

I wonder if this will be the start of getting the whole series over the years...

MidgetDwarf said:
In general Russian education(books being one of the main factors) are more rigorous. At least in mathematics. The Russians use these "rigorous" books through childhood to graduate level courses within their educational system. Ie teachers assign these books and teach out of them. Not like in America where one learns from ie geometry from a cookbook, whereas the Russians learn geometry from Kisselev. This effect keeps multiplying throughout the years.

Not sure if this is the same as in physics as it is I n math. Please correct me.
The professor is surprise, surprise, Russian. I've heard that the course is *incredibly* good but intense. I'm looking forward to it, especially since I had a pretty bad undergraduate CM class.
 

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