Need a new classical mechanics book

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SUMMARY

After completing Fowles/Cassiday's "Analytical Mechanics," several advanced classical mechanics texts are recommended for further study. Goldstein's book is a standard suggestion, while Greenwood's text is also highly regarded. For those interested in variational methods, Lanczos is recommended, along with Crandall, Karnopp, Kurtz, and Pridmore-Brown's book on mechanical and electromechanical systems. For a mathematical approach, Marsden/Ratiu's "Introduction to Mechanics and Symmetry," Arnold's "Mathematical Methods of Classical Mechanics," and José/Saletan's "Classical Dynamics: A Contemporary Approach" are excellent choices.

PREREQUISITES
  • Familiarity with classical mechanics concepts from Fowles/Cassiday "Analytical Mechanics"
  • Understanding of variational methods in physics
  • Basic knowledge of mathematical methods applicable to mechanics
  • Interest in advanced topics such as celestial mechanics and oscillations
NEXT STEPS
  • Read Goldstein's "Classical Mechanics" for a comprehensive understanding of classical mechanics principles
  • Explore Greenwood's text for insights into advanced classical mechanics topics
  • Study Lanczos for a deeper understanding of variational methods
  • Investigate Marsden/Ratiu's "Introduction to Mechanics and Symmetry" for mathematical approaches to mechanics
USEFUL FOR

Students and professionals in physics, particularly those with a focus on classical mechanics, mathematical methods, and variational techniques. This discussion is beneficial for anyone looking to deepen their understanding of advanced mechanics beyond introductory texts.

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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