Classical mechanics:systems of particles and Hamiltonian dynamics
Other author
Bromley, D.A.
Type of publication
Books
Language
eng
Physical description
xviii, 579 p. : ill. ; 28 cm.
Publisher
2nd ed., Springer, 2010
ISBN
9783642034336
Сall number
QA805 .G675 2010
Location
2nd floor
Bibliography
Includes index
Subject
physics mechanics Newtonian mechanics moving coordinate systems mechanics of particle systems vibrating systems mechanics of rigid bodies lagrange equations hamiltonian theory nonlinear dynamics history of mechanics
Genre
Textbooks/Оқулықтар/Учебная литература
Summary
The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems
Contents
Part I.Newtonian Mechanics in Moving Coordinate 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 -- Center 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 a Fixed Axis -- Rotation About a Point -- Theory of the Top -- Part V. Lagrange Equations: Generalized Coordinates -- D'Alembert Principle and Derivation of the Lagrange Equations -- Lagrange Equation for Nonholonomic Constraints -- Special Problems -- Part VI. Hamiltonian 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: Emergence of Occidental Physics in the Seventeenth Century