Mechanics

This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. This updated edition includes more explanations and examples.

Purpose and Emphasis. Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics. Quantum mechanics can hardly be understood, perhaps cannot even be formulated, without a good kno- edge of general mechanics. Field theories such as electrodynamics borrow their formal framework and many of their building principles from mechanics. In short, throughout the many modern developments of physics where one frequently turns back to the principles of classical mechanics its model character is felt. For this reason it is not surprising that the presentation of mechanics re?ects to some - tent the development of modern physics and that today this classical branch of theoretical physics is taught rather differently than at the time of Arnold S- merfeld, in the 1920s, or even in the 1950s, when more emphasis was put on the theoryandtheapplicationsofpartial-differentialequations. Today, symmetriesand invariance principles, the structure of the spacetime continuum, and the geom- rical structure of mechanics play an important role. The beginner should realize that mechanics is not primarily the art of describing block-and-tackles, collisions of billiard balls, constrained motions of the cylinder in a washing machine, or - cycle riding.

Enables the reader to develop general principles from which equations of motions may be derived Highlights the importance of the concept of symmetries as a basis for quantum mechanics Contains over 120 problems with complete solutions, and several practical examples Completely revised and updated new edition, including new sections on Noether's and Steiner's theorem, early introduction of phase space and "bra and ket" symbolics Includes supplementary material: sn.pub/extras

Contenu
Elementary Newtonian Mechanics.- The Principles of Canonical Mechanics.- The Mechanics of Rigid Bodies.- Relativistic Mechanics.- Geometric Aspects of Mechanics.- Stability and Chaos.- Continuous Systems.