Non-commuting Variations in Mathematics and Physics A Survey /

This text presents and studies the method of so -called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule us...

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Bibliographic Details
Main Author: Preston, Serge (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2016.
Imprint: Springer,
Edition:1st ed. 2016.
Series:Interaction of Mechanics and Mathematics,
Subjects:
Multibody systems.
Vibration.
Mechanics, Applied.
Mathematical physics.
Mechanics.
Multibody Systems and Mechanical Vibrations.
Mathematical Physics.
Classical Mechanics.
Online Access:Full-text access
Table of Contents:
  • Basics of the Lagrangian Field Theory
  • Lagrangian Field Theory with the Non-commuting (NC) Variations
  • Vertical Connections in the Congurational Bundle and the NCvariations
  • K-twisted Prolongations and -symmetries (by Works of Muriel,Romero
  • Applications: Holonomic and Non-Holonomic Mechanics,H.KleinertAction Principle, Uniform Materials,and the Dissipative Potentials
  • Material Time, NC-variations and the Material Aging
  • Fiber Bundles and Their Geometrical Structures, Absolute Parallelism
  • Jet Bundles, Contact Structures and Connections on Jet Bundles
  • Lie Groups Actions on the Jet Bundles and the Systems of Differential Equations.

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