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Non-commuting Variations in Mathematics and Physics

A Survey
de

Paru le : 2016-03-02

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  suggest...
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Description du livre


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 used in Variational Calculus. This book  presents a survey of   Variational Calculus with non-commutative variations and shows  that most  basic properties of  conventional  Euler-Lagrange Equations  are, with some modifications,  preserved for  EL-equations with  K-twisted  (defined by K)-variations.    
Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary).  In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices  I and II Furthermore in Appendix III  a  short presentation of the Noether Theorem describing the relation  between the symmetries of  the differential equations with dissipation   and  corresponding s balance laws is presented.

À propos

Auteur
Serge Preston
Éditeur
Springer
Collection
Interaction of Mechanics and Mathematics
Parution
2016-03-02
Pages
235 pages
EAN papier
9783319283210

Auteur(s) du livre


Defaut-Illustration Serge Preston

Caractéristiques détaillées - droits

EAN PDF
9783319283234
Prix
105,99 €
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
2806 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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