Mathematical Methods of Classical Mechanics
E1046815
Mathematical Methods of Classical Mechanics is a highly influential textbook by Vladimir Arnold that presents classical mechanics using rigorous mathematical methods and modern geometric language.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mathematical Methods of Classical Mechanics canonical | 1 |
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
textbook ⓘ |
| approach | geometric formulation of mechanics ⓘ |
| audience |
advanced undergraduates
ⓘ
graduate students ⓘ researchers in mathematical physics ⓘ |
| author | Vladimir Arnold NERFINISHED ⓘ |
| category |
mathematics textbook
ⓘ
physics textbook ⓘ |
| contains |
exercises
ⓘ
numerous worked examples ⓘ |
| emphasis |
geometric viewpoint
ⓘ
mathematical rigor ⓘ |
| field |
classical mechanics
ⓘ
differential geometry ⓘ mathematical physics ⓘ |
| influencedField |
geometric mechanics
ⓘ
symplectic geometry in physics ⓘ |
| language |
English
ⓘ
Russian ⓘ |
| notableFor |
integration of differential geometry with mechanics
ⓘ
modern geometric treatment of classical mechanics ⓘ |
| originalLanguage | Russian ⓘ |
| relatedConcept | Arnold–Liouville theorem NERFINISHED ⓘ |
| relatedWork | Vladimir Arnold’s books on ordinary differential equations ⓘ |
| topic |
Hamiltonian mechanics
ⓘ
Hamilton–Jacobi theory ⓘ Lagrangian mechanics ⓘ Lie groups in mechanics ⓘ Noether’s theorem NERFINISHED ⓘ Poisson brackets ⓘ action-angle variables ⓘ canonical transformations ⓘ integrable systems ⓘ perturbation theory in mechanics ⓘ phase space ⓘ stability of motion ⓘ symplectic geometry ⓘ variational principles ⓘ |
| uses |
modern geometric language
ⓘ
rigorous mathematical methods ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.