Fundamentals Of Advanced Mathematics V3: 1ed

Bourles, Henri

ISBN 10: 1785482505 / ISBN 13: 9781785482502

Verlag: ISTE Press - Elsevier, 2019

Beschreibung

Bestandsnummer des Verkäufers 26376460781

Bibliografische Details

• Titel: Fundamentals Of Advanced Mathematics V3: 1ed
• Verlag: ISTE Press - Elsevier
• Erscheinungsjahr: 2019
• Sprache: Englisch
• ISBN-10: 1785482505
• ISBN-13: 9781785482502
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

• Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more
• Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems
• Provides theory as well as practical information

Über die Autorin bzw. den Autor

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