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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Likharev, K. K. (Konstantin Konstantinovich) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2017]
Colección:IOP (Series). Release 4.
IOP expanding physics.
Essential advanced physics.
Temas:
Mechanics.
Dynamics.
Classical mechanics.
SCIENCE / Mechanics / General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

Ejemplares similares