This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples. From the very beginning relativity is kept in mind, along with its relation to concepts of basic mechanics, such as inertia, escape velocity, Newton's potential, Kepler motion and curvature. The Lagrange and Hamilton formalisms are treated in detail, and extensive applications to central forces and rigid bodies are presented. After consideration of the motivation of relativity, the essential tensor calculus is developed, and thereafter Einstein's equation is solved for special cases with explicit presentation of calculational steps.The combined treatment of classical mechanics and relativity thus enables the reader to see the connection between Newton's gravitational potential, Kepler motion and Einstein's corrections, as well as diverse aspects of mechanics. The text addresses students and others pursuing a course in classical mechanics, as well as those interested in a detailed course on relativity.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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miscellaneous examples, rigid body dynamics, tangential polar equation, rigid body frame, aberration law, shortest line connecting, inertial tensor, apk aqk, covariant divergence Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Lagrange Formalism, The Canonical, The Physics Coaching Class, Aspects of Special Relativity, Two-Body Central Forces, Motivation of the Theory of Relativity, Looking Beyond Classical Mechanics, Einstein's Equation of the Gravitational Field, Aspects of Classical Statistics, Special Theory of Relativity, Motion Relative, Equation of Motion of Particle, Euler Lagrange, Recapitulation of Newtonian Mechanics, Tables of Integrals, Hamilton Formalism, Simple Look, Force-free Motion, Spacetime Formulations, Schwarzschild Field, Tangential Equations of Orbits, General Theory, Central Force Fields, Ixy Iyy, Izy Izz Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
miscellaneous examples, rigid body dynamics, tangential polar equation, rigid body frame, aberration law, shortest line connecting, inertial tensor, apk aqk, covariant divergence Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Lagrange Formalism, The Canonical, The Physics Coaching Class, Aspects of Special Relativity, Two-Body Central Forces, Motivation of the Theory of Relativity, Looking Beyond Classical Mechanics, Einstein's Equation of the Gravitational Field, Aspects of Classical Statistics, Special Theory of Relativity, Motion Relative, Equation of Motion of Particle, Euler Lagrange, Recapitulation of Newtonian Mechanics, Tables of Integrals, Hamilton Formalism, Simple Look, Force-free Motion, Spacetime Formulations, Schwarzschild Field, Tangential Equations of Orbits, General Theory, Central Force Fields, Ixy Iyy, Izy Izz Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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