Fundamentals of Advanced Mathematics V3 - Couverture rigide

Bourles

Couverture rigide

ISBN 10 : 1785482505 ISBN 13 : 9781785482502

Editeur : ISTE Press - Elsevier, 2019

Synopsis

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations.

This volume is the prerequisite to the analytic and geometric study of nonlinear systems.

A propos du livre

À propos de l?auteur

Henri Bourlès is Full Professor and Chair at the Conservatoire National des Arts et Métiers, Paris, France.

Détails de l'édition

• Éditeur: ISTE Press - Elsevier
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 1785482505
• ISBN 13: 9781785482502
• Reliure: Relié
• Nombre de pages: 426
• Coordonnées du fabricant: ELSEVIER; https://www.elsevier.com/es-es; ; Mooswaldallee 6; Freiburg; 79108; Allemagne