John Taylor has brought to his new book, Classical Mechanics, all of the clarity and insight that made his Introduction to Error Analysis a best-selling text. Classical Mechanics is intended for students who have studied some mechanics in an introductory physics course and covers such topics as conservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory, Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a few simple systems, to give a truly comprehensible introduction to the concepts that we hear so much about. At the end of each chapter is a large selection of interesting problems for the student, classified by topic and approximate difficulty, and ranging from simple exercises to challenging computer projects.
Taylor's Classical Mechanics is a thorough and very readable introduction to a subject that is four hundred years old but as exciting today as ever. He manages to convey that excitement as well as deep understanding and insight.
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Newtons Laws of Motion
Projectiles and Charged Particles
Momentum and Angular Momentum
Calculus of Variations
TwoBody CentralForce Problems
Coupled Oscillators and Normal Modes
Nonlinear Mechanics and Chaos
appendix Diagonalizing Real Symmetric Matrices
acceleration air resistance angular momentum angular velocity approximation atom axis Chapter classical mechanics CM frame coefficients collision component cone conservative Consider constant Coriolis force corresponding cross section curve damping defined definition denotes derivative differential equation direction displacement drive strength earth equal equation of motion exactly example fixed point fluid force F four-momentum four-vector Fourier frequency function given gravity Hamilton's equations Hamiltonian horizontal inertial frame initial conditions integral kinetic energy Lagrange equations Lagrange's Lagrangian linear logistic map Lorentz transformation mass matrix measured moving Newton's second law normal modes oscillations parameter particle path pendulum period phase space plane plot polar coordinates potential energy principal axes Problem projectile prove radius relative result rotating scalar scattering shown in Figure sinusoidal solution solve speed spherical spring surface target theorem unit vector variables vertical wave write zero