The Special Theory of RelativityĤ.5 Some Consequences of the Lorentz TransformationĬhapter 5. Fundamentals of Newtonian Mechanicsģ.4 The Equation of Motion for a Particleģ.6 Conservation Theorems for a System of ParticlesĬhapter 4. Table of Contentsġ.7 Geometrical Significance of Transformation Matricesġ.8 Definitions of a Scalar and a Vector in Terms of Transformation Propertiesġ.9 Elementary Scalar and Vector OperationsĢ.2 Differentiation of a Vector with Respect to a ScalarĢ.3 Examples of Derivatives -Velocity and AccelerationĢ.8 Some Additional Differential Vector RelationsĬhapter 3. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation. Vector methods are developed in the first two chapters and are used throughout the book. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level.
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