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Recommend an easy going introduction to lagrangian and hamiltonian mechanics (for self study)

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- Thread starter Ahmad Kishki
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- #1

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Recommend an easy going introduction to lagrangian and hamiltonian mechanics (for self study)

- #2

Quantum Defect

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I liked "Classical Dynamics of Particles and Systems" by Marion and Thornton (advanced undergraduate classical mechanics)Recommend an easy going introduction to lagrangian and hamiltonian mechanics (for self study)

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- #5

Fredrik

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https://books.google.com/books?id=yUDo7VptDgIC

https://books.google.com/books?id=5OQlBQAAQBAJ

- #6

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The first bits of Goldstein's book would probably be very beneficial.

- #7

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They are free, so absolutely no harm in looking.

- #8

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I liked "Classical Dynamics of Particles and Systems" by Marion and Thornton (advanced undergraduate classical mechanics)

Anything but that, unless you like meaningless formulas and calculations. If you don't like meaningless formulas and calculations, maybe Arnold if you can handle it.

- #9

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The book by Marion and Thornton is an established undergraduate classic. So is the book by Fowles and Cassiday, or the book by Taylor. They are suitable for senior-level classical mechanics courses.

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- #12

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I think it's reasonably obvious to anyone who has read it that Marion and Thornton are not exactly Feynman when it comes to their physical insight. I have read most of Arnold, but the Appendixes get pretty wild, even for me (there's some good stuff in there if you ever want to understand differential geometry, though). But I have a PhD in math, so Arnold is kind of right up my alley. But I did start reading it in my first year of grad school, so it's not THAT bad. And I could have probably read it a bit earlier than that--as he says in the intro it's closer to a course for theoretical physicists than mathematicians.

One book I'd like to read when I get the chance that might possibly (can't say, since I haven't read it) fit the bill here is Spivak's Mechanics for Mathematicians book.

There's a free preview online.

http://www.math.uga.edu/~shifrin/Spivak_physics.pdf [Broken]

As you can see from the preview, it's not really that math-oriented, although maybe in the later chapters, it is. I haven't read the finished product. Anyway, it looks like Spivak wrote a book that is somewhat similar to one I was thinking about writing. So, I'll have to read it, and if I like it enough, maybe I won't have to write my own, but just refer people to Spivak and Arnold.

Lanczos also has a Classical Mechanics book that's somewhat interesting and a bit lower level.

One book I'd like to read when I get the chance that might possibly (can't say, since I haven't read it) fit the bill here is Spivak's Mechanics for Mathematicians book.

There's a free preview online.

http://www.math.uga.edu/~shifrin/Spivak_physics.pdf [Broken]

As you can see from the preview, it's not really that math-oriented, although maybe in the later chapters, it is. I haven't read the finished product. Anyway, it looks like Spivak wrote a book that is somewhat similar to one I was thinking about writing. So, I'll have to read it, and if I like it enough, maybe I won't have to write my own, but just refer people to Spivak and Arnold.

Lanczos also has a Classical Mechanics book that's somewhat interesting and a bit lower level.

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- #13

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I understand better now what you mean about M/T. Thank you.

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