Fundamentals of Advanced Mathematics V3: Differential Calculus, Tensor Calculus, Differential Geometry, Global Analysis (New Mathematical Methods, Systems and Applications) - Hardcover

Bourles

Hardcover

ISBN 10: 1785482505 ISBN 13: 9781785482502

Publisher: 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.

• 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 this title

About the Author

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

Edition details

• Publisher: ISTE Press - Elsevier
• Publication date: 2019
• Language: English
• ISBN 10: 1785482505
• ISBN 13: 9781785482502
• Binding: Hardcover
• Edition number: 1
• Number of pages: 426