Need a new classical mechanics book

[snatchingthepi]

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.

 

[OldEngr63]

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.

 

[Xiuh]

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

 

[nearlynothing]

Goldstein is always recommended, and there is a good book by Greenwood.

.

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

 

[rezeew]

There are many great classical mechanics books available, so it can be overwhelming to choose just one to continue your studies. I would recommend considering the specific topics you are interested in and finding a book that covers those areas in depth. Additionally, it may be helpful to read reviews and compare different textbooks to see which one aligns best with your learning style.

One suggestion is "Classical Mechanics" by John R. Taylor. This book covers a wide range of topics and has a clear and concise writing style, making it accessible for both beginners and advanced readers. It also includes a variety of examples and exercises to reinforce concepts.

Another highly recommended book is "Classical Mechanics" by Herbert Goldstein. This is a comprehensive and rigorous textbook that covers all the classical mechanics topics, including oscillations and celestial mechanics. It is often used as a reference book by physicists and is known for its clear explanations and challenging problems.

Ultimately, the best classical mechanics book for you will depend on your specific interests and learning style. I would also suggest checking with your institution's library or professors for their recommendations. Happy reading!