Classical mechanics : lecture notes /
Essential Advanced Physics' is a series comprising four parts: 'Classical Mechanics', 'Classical Electrodynamics', 'Quantum Mechanics' and 'Statistical Mechanics'. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further suppl...
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Bristol :
IOP Publishing,
c2017.
|
| Σειρά: | IOP expanding physics.
Essential advanced physics. |
| Θέματα: | |
| Διαθέσιμο Online: | http://iopscience.iop.org/book/978-0-7503-1398-8 |
Πίνακας περιεχομένων:
- 1. Review of fundamentals
- 1.1. Kinematics : basic notions
- 1.2. Dynamics : Newton's laws
- 1.3. Conservation laws
- 1.4. Potential energy and equilibrium
- 1.5. OK, we've got it--can we go home now?
- 1.6. Problems
- 2. Lagrangian analytical mechanics
- 2.1. Lagrange equations
- 2.2. Three simple examples
- 2.3. Hamiltonian function and energy
- 2.4. Other conservation laws
- 2.5. Problems
- 3. A few simple problems
- 3.1. One-dimensional and 1D-reducible systems
- 3.2. Equilibrium and stability
- 3.3. Hamiltonian 1D systems
- 3.4. Planetary problems
- 3.5. Elastic scattering
- 3.6. Problems
- 4. Rigid-body motion
- 4.1. Translation and rotation
- 4.2. Inertia tensor
- 4.3. Fixed-axis rotation
- 4.4. Free rotation
- 4.5. Torque-induced precession
- 4.6. Non-inertial reference frames
- 4.7. Problems
- 5. Oscillations
- 5.1. Free and forced oscillations
- 5.2. Weakly nonlinear oscillations
- 5.3. Reduced equations
- 5.4. Self-oscillations and phase-locking
- 5.5. Parametric excitation
- 5.6. Fixed-point classification
- 5.7. Numerical approaches
- 5.8. Higher harmonic and subharmonic oscillations
- 5.9. Problems
- 6. From oscillations to waves
- 6.1. Two coupled oscillators
- 6.2. N coupled oscillators
- 6.3. 1D waves
- 6.4. Acoustic waves
- 6.5. Standing waves
- 6.6. Wave decay and attenuation
- 6.7. Nonlinear and parametric effects
- 6.8. Problems
- 7. Deformations and elasticity
- 7.1. Strain
- 7.2. Stress
- 7.3. Hooke's law
- 7.4. Equilibrium
- 7.5. Rod bending
- 7.6. Rod torsion
- 7.7. 3D acoustic waves
- 7.8. Elastic waves in restricted geometries
- 7.9. Problems
- 8. Fluid mechanics
- 8.1. Hydrostatics
- 8.2. Surface tension effects
- 8.3. Kinematics
- 8.4. Dynamics : ideal fluids
- 8.5. Dynamics : viscous fluids
- 8.6. Turbulence
- 8.7. Problems
- 9. Deterministic chaos
- 9.1. Chaos in maps
- 9.2. Chaos in dynamic systems
- 9.3. Chaos in Hamiltonian systems
- 9.4. Chaos and turbulence
- 9.5. Problems
- 10. A bit more of analytical mechanics
- 10.1. Hamilton equations
- 10.2. Adiabatic invariance
- 10.3. The Hamilton principle
- 10.4. The Hamilton-Jacobi equation
- 10.5. Problems
- Appendices. A. Selected mathematical formulas
- B. Selected physical constants.
