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theories:classical_mechanics:newtonian [2018/05/05 12:26] jakobadmin ↷ Links adapted because of a move operation |
theories:classical_mechanics:newtonian [2022/09/07 00:08] (current) laserblue |
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* A great introduction is: http://math.ucr.edu/home/baez/classical/texfiles/2005/book/classical.pdf | * A great introduction is: http://math.ucr.edu/home/baez/classical/texfiles/2005/book/classical.pdf | ||
* and a great textbook is Morin: Introduction to Classical Mechanics and also | * and a great textbook is Morin: Introduction to Classical Mechanics and also | ||
- | * Classical Mechanics by John Taylor | + | * Classical Mechanics by John Taylor. |
+ | * Another great textbook is the [[http://www.feynmanlectures.caltech.edu/I_toc.html|first volume of the Feynman lectures]]. | ||
* Symmetry in Mechanics: "A Gentle, Modern Introduction" by Singer | * Symmetry in Mechanics: "A Gentle, Modern Introduction" by Singer | ||
* A great resource to understand many of the most important mechanics systems is https://www.myphysicslab.com/. It's a collection of physics simulations, where you can modify the model parameters etc. | * A great resource to understand many of the most important mechanics systems is https://www.myphysicslab.com/. It's a collection of physics simulations, where you can modify the model parameters etc. | ||
* The standard textbook is "Classical Mechanics" by Herbert Goldstein, Charles Poole, and John Safko | * The standard textbook is "Classical Mechanics" by Herbert Goldstein, Charles Poole, and John Safko | ||
+ | | ||
+ | * [[https://link.springer.com/book/10.1007/0-306-47122-1| New Foundations for Classical Mechanics]] by David Hestenes | ||
+ | * A classic is [[https://openlibrary.org/books/OL5797696M/The_science_of_mechanics| The Science of Mechanics]] by Ernst Mach | ||
<tabbox Abstract> | <tabbox Abstract> | ||
[[equations:newtons_second_law|Newton's second law]] is | [[equations:newtons_second_law|Newton's second law]] is | ||
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Its position, which we call $q$, depends on the time $t\in\mathbb{R}$. | Its position, which we call $q$, depends on the time $t\in\mathbb{R}$. | ||
- | Therefore, the poistion defines a function, | + | Therefore, the position defines a function, |
\[ | \[ | ||
q \colon \mathbb{R}\longrightarrow\mathbb{R}^n. | q \colon \mathbb{R}\longrightarrow\mathbb{R}^n. |