Classical Studying Analytical Mechanics this July

AI Thread Summary
The discussion centers on the choice between two textbooks for studying analytical mechanics: Thornton and Marion's "Classical Dynamics of Particles and Systems" and Robert Fitzpatrick's "Newtonian Dynamics." The user is considering Fitzpatrick's book due to its shorter length and recommendation by a notable physicist, but is concerned about its limited coverage of Hamiltonian and Lagrangian mechanics, which are introduced early in Thornton and Marion's text. There is a consensus that a thorough understanding of Hamiltonian and Lagrangian mechanics is essential for becoming a proficient physicist. The user expresses a desire to cover all relevant topics before the semester begins, emphasizing the importance of not rushing through the material. Additionally, there is curiosity about the terminology, specifically why "Analytical Mechanics" is distinguished from "Computational" or "Numerical" physics, with the assumption that it relates to the mathematical approaches used in the subject.
davidbenari
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So I'm taking analytical mechanics next semester. The textbook they use is Thornton and Marion's "Classical Dynamics of Particles and Systems".

I want to learn it all this month. It is feasible, but extenuating. But there is another option.

I could read Robert Fitzpatrick's Newtonian Dynamics http://farside.ph.utexas.edu/teaching/336k/Newton/index.html which is shorter, and probably contains the same topics. This book is recommended by Gerard t'Hooft's page on "How to become a good theoretical physicist".

Which one should I choose considering my hasty plans?

One drawback I consider from Fitzpatrick's book is that it contains only a small section on Hamiltonian and Lagrangian mechanics and it appears only till the end, while on Thornton and Marion, you are presented with it in the first 1/5 of the book, and I guess uses it till the end.

Suggestions?

Thanks.
 
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Some things cannot be rushed. I believe the more time you spend with Hamiltonian mechanics, the better physicist you will be.

Lagrangian too.

I ended up re-taking undergrad classical mechanics my first year of grad school (MIT), and I was better off because of it.

Take your time. As they say, if you don't have time to do it right, you must have time to do it again.
 
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I'll probably do it twice since I'll do it this month and during the next semester. But I do want to see all the topics involved in that class. I don't want to just see 20% of it. I have until about the 23rd of August to study.

Do you know anything about Fitzpatrick?
 
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davidbenari said:
I'll probably do it twice since I'll do it this month and during the next semester. But I do want to see all the topics involved in that class. I don't want to just see 20% of it. I have until about the 23rd of August to study.

Do you know anything about Fitzpatrick?

Looks solid, but as you mentioned Hamiltonian and Lagrangian dynamics get short shrift.

I prefer mechanics courses to include the Hamiltonian and Lagrangian approaches to a lot of problems all through the semester.
 
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I think i'll go for Fitzpatrick book, since it'll be a quicker ride. I had a question though: do you think the title "Newtonian Dynamics" conflicts with a book on Analytical Mechanics? My guess is that no, and by Newtonian Dynamics one simply refers to dynamics that relies on Newtons 3 laws, even if some of the mathematical formalisms weren't known to Newton (This is my guess).

Do you know why Analytical Mechanics is called Analytical? Is it meant to distinguish it from something having to do with "Computational" or "Numerical" physics?
 
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