Mathematical Methods of Classical Mechanics

V.I. Arnol'd

ISBN 10: 0387968903 / ISBN 13: 9780387968902

Verlag: Springer-Verlag New York Inc., US, 1989

Beschreibung

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Bestandsnummer des Verkäufers LU-9780387968902

Bibliografische Details

• Titel: Mathematical Methods of Classical Mechanics
• Verlag: Springer-Verlag New York Inc., US
• Erscheinungsjahr: 1989
• Sprache: Englisch
• ISBN-10: 0387968903
• ISBN-13: 9780387968902
• Einband: Hardback
• Auflage: 2nd ed. 1989.
• Zustand: New

Über diesen Titel

Inhaltsangabe

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.