All Questions
6 questions
3
votes
1
answer
971
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Pre-requisites for V.I. Arnold's mathematical methods for classical mechanics
I am an undergraduate, studying physics. I have studied maths courses like Groups, Linear Algebra, Real analysis, Differential geometry and probability. I wish to get into mathematical physics, ...
4
votes
0
answers
172
views
Looking for lecture videos that follow Arnold's Mathematical Methods of Classical Mechanics [duplicate]
I'm an undergrad and I'm looking for lecture videos (on youtube and such) that follow this textbook.
My course roughly follows it, but glosses over some mathematical details that I feel would be ...
5
votes
0
answers
237
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References to Mechanics (Classical, Quantum, Statistical) using Time-Scale calculus?
Time-Scale Calculus, is a theory which unifies ordinary (plus fractional and q-) calculus with discrete (and finite differences) calculus.
In a sense, in a similar way the Lebesgue integral (or ...
18
votes
1
answer
891
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Reference Request: Classical Mechanics with Symplectic Reduction
I am trying to find a supplement to appendix of Cushman & Bates' book on Global aspects of Classical Integrable Systems, that is less terse and explains mechanics with Lie groups (with dual of Lie ...
9
votes
3
answers
2k
views
Boundary layer theory in fluids learning resources
I'm trying to understand boundary layer theory in fluids. All I've found are dimensional arguments, order of magnitude arguments, etc... What I'm looking for is more mathematically sound arguments. ...
48
votes
8
answers
15k
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Classical mechanics without coordinates book
I am a graduate student in mathematics who would like to learn some classical mechanics. However, there is one caveat: I am not interested in the standard coordinate approach. I can't help but think ...