Need a new classical mechanics book

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After completing Fowles/Cassiday's "Analytical Mechanics," several recommendations for further study in classical mechanics are discussed. Goldstein's book is frequently suggested as a standard continuation, known for its comprehensive coverage. For those interested in variational methods, Lanczos is recommended, along with Crandall, Karnopp, Kurtz, and Pridmore-Brown's work on mechanical and electromechanical systems. Marsden and Ratiu's "Introduction to Mechanics and Symmetry," Arnold's "Mathematical Methods of Classical Mechanics," and José and Saletan's "Classical Dynamics: A Contemporary Approach" are also highlighted for their mathematical focus. Greenwood's text is praised for its quality, making it another strong option for further exploration in the field. The direction of study largely depends on individual interests and desired specialization within classical mechanics.
snatchingthepi
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I've finished my institution's sequence on classical mechanics and am wanting to keep reading the subject. Does anyone have a standard suggestion after Fowles/Cassiday "Analytical Mechanics"? We covered almost the entire book except for the very last chapter and a few sections on oscillations (non-sinusoidal driving forces mostly) and celestial mechanics (three-body problem mostly).

As I understand it, most would probably say Goldstein's book, and am just looking for general suggestions.
 
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It depends a lot on which direction you want to go. Goldstein is always recommended, and there is a good book by Greenwood.

If you want more on variational methods, look at Lanczos, or in more applied direction, Crandall, Karnopp, Kurtz, and Pridmore-Brown have a nice book on mechanical and electromechanical systems by variational methods. Langhaar also has an interesting book on variational methods.

Again, it all depends on which way you want to go. You will probably have to specialize a bit to go further.
 
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I agree with OldEngr63, it depends a lot on what you want to learn. If you are interested on the mathematical side of classical mechanics, you can try

-Marsden/Ratiu. Introduction to Mechanics and Symmetry . https://www.amazon.com/dp/038798643X/?tag=pfamazon01-20.
-Arnold. Mathematical Methods of Classical Mechanics https://www.amazon.com/dp/0387968903/?tag=pfamazon01-20
-José/Saletan. Classical Dynamics: A contemporary approach. https://www.amazon.com/dp/0521636361/?tag=pfamazon01-20

also, the book by Spivak is nice https://www.amazon.com/dp/0914098322/?tag=pfamazon01-20
 
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OldEngr63 said:
Goldstein is always recommended, and there is a good book by Greenwood.

.

I second for Greenwood's, it is a very good text.
 
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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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