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

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The discussion centers on the differences between Landau's and Goldstein's textbooks for graduate classical mechanics (CM), with a focus on the challenges posed by Landau's terse writing style. The participant expresses concern about the mathematical prerequisites, noting a lack of formal training in advanced topics like differential geometry, despite having a foundation in complex analysis and linear algebra. The professor, who is Russian, will cover some higher-level material, and the participant is advised to have Goldstein as a supplementary resource due to Landau's brevity and rigorous approach. The conversation highlights the differences in educational styles between Russian and American systems, particularly in the use of rigorous textbooks throughout the educational journey. The participant is apprehensive about the financial investment in additional textbooks but acknowledges the potential benefits for their understanding of the subject. Overall, there is anticipation for the upcoming course, especially after a disappointing undergraduate experience in CM.
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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.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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