A bunch of Classical Mechanics online Resources( lecture notes)

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The discussion provides a collection of online resources for studying classical mechanics, including lecture notes and advanced texts. Key links include materials from universities such as Penn State, Caltech, and Harvard, offering a range of topics from basic principles to rigorous mathematical treatments. An update highlights Giovanni Gallovoti's free online text, which serves as a bridge between introductory and advanced mechanics. Additionally, Alex Maloney's course with audio lectures is recommended for auditory learners. These resources collectively support a comprehensive understanding of classical mechanics concepts.
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http://www.phys.psu.edu/~lammert/419/notes.html"

http://www.physto.se/~ingemar/anmek.pdf"

http://www.phy.ohiou.edu/~rollinsr/phys605/"

http://farside.ph.utexas.edu/teaching/336k/336k.html"

http://www.damtp.cam.ac.uk/user/tong/dynamics.htm"

http://www.astro.caltech.edu/~golwala/ph106ab/#mozTocId421895"

http://math.ucr.edu/home/baez/classical/"

http://www.courses.fas.harvard.edu/~phys16/"

http://www.physics.rutgers.edu/grad/507/gettext.shtml"
 
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*UPDATE*
Giovanni Gallovoti written a clear, free online, "advanced" text on mechanics filled with clarity and exercises.

http://ipparco.roma1.infn.it/pagine/deposito/2007/elements.pdf

Note: This book is NOT as advanced as Marsden or Arnold, but it is more advanced than Goldstein or Jose/Saletan. Read it, you will not be disappointed.
 
*UPDATE*
Andrew Lewis: http://www.mast.queensu.ca/~andrew/teaching/math439/notes.shtml"

A VERY rigorous mathematical treatment of Lagrangian Mechanics. You should also read it if you want an axiomatic knowledge of Newtonian Mechanics and Galilean Spacetime.
 
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I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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