Classical mechanics:systems of particles and Hamiltonian dynamics
Другой автор
Bromley, D.A.
Вид издания
Books
Язык
eng
Физическое описание
xviii, 579 p. : ill. ; 28 cm.
Издательство
2nd ed., Springer, 2010
ISBN
9783642034336
Шифр
QA805 .G675 2010
Расположение
2nd floor
Библиография
Includes index
Тематика
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
Жанр
Textbooks/Оқулықтар/Учебная литература
Краткое содержание
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
Содержание
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
