Classical Mechanics From Particles to Continua and Regularity to Chaos /
This well-rounded and self-contained treatment of classical mechanics strikes a balance between examples, concepts, phenomena and formalism. While addressed to graduate students and their teachers, the minimal prerequisites and ground covered should make it useful also to undergraduates and research...
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Kaituhi rangatōpū: | |
| Hōputu: | Tāhiko īPukapuka |
| Reo: | Ingarihi |
| I whakaputaina: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2025.
|
| Putanga: | 1st ed. 2025. |
| Rangatū: | Texts and Readings in Physical Sciences,
22 |
| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.1007/978-981-97-4476-3 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- Mechanical systems with one degree of freedom
- Kepler’s gravitational two-body problem
- Newtonian to Lagrangian and Hamiltonian mechanics
- Introduction to special relativistic mechanics
- Dynamics viewed as a vector field on state space
- Small oscillations for one degree of freedom
- Nonlinear oscillations: pendulum and anharmonic oscillator
- Rigid body mechanics
- Motion in noninertial frames of reference
- Canonical transformations
- Angle-action variables
- Hamilton-Jacobi equation
- Normal modes of oscillation and linear stability
- Bifurcations: qualitative changes in dynamics
- From regular to chaotic motion
- Dynamics of continuous deformable media
- Vibrations of a stretched string and the wave equation
- Heat diffusion equation and Brownian motion
- Introduction to fluid mechanics.