Title: Fundamentals of Advanced Mathematics 3 : Differential Calculus, Tensor Calculus, Differential Geometry, Global Analysis
Publisher: ISTE Press - Elsevier
Publication Date: 2019
Language: English
ISBN 10: 1785482505
ISBN 13: 9781785482502
Binding: Hardcover
Condition: New

About this title

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.

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

About the Author

Henri Bourl�s is Full Professor and Chair at the Conservatoire National des Arts et M�tiers, Paris, France.

"About this title" may belong to another edition of this title.

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