Beschreibung
This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles to realistic problems. The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrange and Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics. The new edition is completely revised and updated. New exercises and new sections in canonical transformation and Hamiltonian theory have been added.
Inhaltsverzeichnis
Part I. Newtonian mechanics in moving co-ordinate systems.- Newton''s Equations in a Rotating Coordinate System.- Free fall on the rotating earth.- Foucault''s pendulum.- Part II. Mechanics of Particle Systems.- Degrees of Freedom.- Centre of gravity. Mechanical fundamental quantities of systems of mass points.- Part III. Vibrating systems.- Vibrations of coupled mass points.- The vibrating string.- Fourier series.- The vibrating membrane.- Part IV. Mechanics of Rigid Bodies.- Rotation about fixed axis.- Rotation about a point. Theory of the top.- Part V. Lagrange equations.- Generalized co-ordinates.- D''Alembert principle and derivation of the Lagrange equations.- Lagrange equations for non-holonomic constraints.- Special problems (for deepening).- Part VI. Hamilton Theory.- Hamilton''s equations.- Canonical transformations.- Hamilton-Jacobi theory.- Extended Hamilton-Lagrange formalism.- Extended Hamilton-Jacobi equation.- Part VII. Nonlinear Dynamics.- Dynamical systems.- Stability of time-dependent paths.- Bifurcations.- Lyapunov exponents and chaos.- Systems with chaotic dynamics.- Part VIII. On the history of mechanics.- Emergency of Occidental Physics in the Seventeenth Century.
Herstellerkennzeichnung:
Springer Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE
E-Mail: juergen.hartmann@springer.com
