Name: Lectures on Mechanics Paperback (London Mathematical Society Lecture Note Series) (en Inglés)
Price: 486281.00 COP
Availability: InStock
Author: Marsden
ISBN: 9780521428446

portada Lectures on Mechanics Paperback (London Mathematical Society Lecture Note Series) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Marsden

Año

1992

Idioma

Inglés

N° páginas

268

Encuadernación

Tapa Blanda

ISBN

0521428440

ISBN13

9780521428446

N° edición

Categorías

Matemáticas aplicadas

Lectures on Mechanics Paperback (London Mathematical Society Lecture Note Series) (en Inglés)

Marsden (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Lectures on Mechanics Paperback (London Mathematical Society Lecture Note Series) (en Inglés)"

The use of geometric methods in classical mechanics has proven fruitful, with wide applications in physics and engineering. In this book, Professor Marsden concentrates on these geometric aspects, especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studied using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems. A unifying theme for these points is provided by reduction theory, the associated mechanical connection and techniques from dynamical systems. These methods can be applied to many control and stabilization situations, and this is illustrated using rigid bodies with internal rotors, and the use of geometric phases in mechanical systems. To illustrate the above ideas and the power of geometric arguments, the author studies a variety of specific systems, including the double spherical pendulum and the classical rotating water molecule.