Principle of Mechanics Book: Intermediate Course Material?

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The book "Principles of Mechanics" by Synge and Griffith, published by McGraw-Hill in 1959, is noted for its mathematical rigor and comprehensive coverage of topics such as space mechanics and plane mechanics. It includes advanced concepts like Hamiltonian and Lagrangian mechanics, suggesting its suitability for an intermediate or upper-level undergraduate mechanics course. The discussion references the use of Marion and Thornton's text in a theoretical mechanics course, which also encompassed similar topics, reinforcing the idea that Synge and Griffith's book would be appropriate for teaching advanced mechanics concepts.
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Ok so I found this cool book entitled: Principle of Mechanics by SYNGE & GRIFFITH,McGraw-Hill, 1959. It looks really mathematically rigourous. It covers Space Mechanics, Plane Mech, etc. My question is, what course would this stuff be taught in? It has Halmiltonian mechanics as well as Lagranian so an Intermediate mechanics course? Thanks
 
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Marion and Thorton was used to teach my Theoretical Mechanics course, and it included Hamiltonian and Lagrangian stuff, orbital mechanics, etc... so I'd say, yes, it'd be use to teach an upper level undergraduate mechanics course.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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