theories:classical_mechanics:newtonian
Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
theories:classical_mechanics:newtonian [2018/05/03 13:04] jakobadmin ↷ Links adapted because of a move operation |
theories:classical_mechanics:newtonian [2022/09/07 00:08] (current) laserblue |
||
|---|---|---|---|
| Line 71: | Line 71: | ||
| * 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 | ||
| Line 84: | Line 88: | ||
| 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. | ||
| Line 128: | Line 132: | ||
| It makes sense to study these various approaches instead of just one because: | It makes sense to study these various approaches instead of just one because: | ||
| - | - In more modern theories like [[theories:quantum_mechanics:canonical_quantum_mechanics|quantum mechanics]] or [[theories:quantum_field_theory|quantum field theory]], we are in exactly the same situation: There are several descriptions that all do the same thing. But for specific situations one approach is stronger than the others. To get a full understanding of the theory it is helpful to know all the various approaches. It is thus sensible to get familiar with this "various approaches" idea. | + | - In more modern theories like [[theories:quantum_mechanics:canonical|quantum mechanics]] or [[theories:quantum_field_theory:canonical|quantum field theory]], we are in exactly the same situation: There are several descriptions that all do the same thing. But for specific situations one approach is stronger than the others. To get a full understanding of the theory it is helpful to know all the various approaches. It is thus sensible to get familiar with this "various approaches" idea. |
| - The same three approaches are also applicable in quantum field theory and quantum mechanics, which are the best theories of nature that we currently have. In classical mechanics we deal with objects that we are familiar with in everyday life, whereas in quantum field theory and quantum mechanics, things are more abstract. Thus it makes sense to get familiar with the approaches using everyday objects. | - The same three approaches are also applicable in quantum field theory and quantum mechanics, which are the best theories of nature that we currently have. In classical mechanics we deal with objects that we are familiar with in everyday life, whereas in quantum field theory and quantum mechanics, things are more abstract. Thus it makes sense to get familiar with the approaches using everyday objects. | ||
theories/classical_mechanics/newtonian.1525345447.txt.gz · Last modified: 2018/05/03 11:04 (external edit)
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
