Classical mechanics: systems of particles and hamiltonian dynamics

The series of texts on Classical Theoretical Physics is based on the highly successful series of courses given by Walter Greiner at the Johann Wolfgang Goethe University in Frankfurt am Main, Germany. Intended for advanced undergraduates and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems. New in this edition: new chapters on 'Generalized Theory of Canonical Transformations' and 'Hamilton-Lagrange Formalism', new sections in 'Hamiltonian Theory', all chapters completly revised and updated, new exercises. Numerous problems with worked out solutions Coversadvanced topic nonlinear dynamics Lagrange and hamilton theory included New chapter on generalized theory of canonical transformation New exercises INDICE: 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 equationsfor 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-Jacobiequation.- 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.

• ISBN: 978-3-642-03433-6
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 540
• Fecha Publicación: 01/01/2010
• Nº Volúmenes: 1
• Idioma: Inglés