E-Book, Englisch, 424 Seiten
Bourles Fundamentals of Advanced Mathematics V3
1. Auflage 2019
ISBN: 978-0-08-102386-0
Verlag: Elsevier Science & Techn.
Format: EPUB
Kopierschutz: 6 - ePub Watermark
E-Book, Englisch, 424 Seiten
ISBN: 978-0-08-102386-0
Verlag: Elsevier Science & Techn.
Format: EPUB
Kopierschutz: 6 - ePub Watermark
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
Henri BourlŠs is Full Professor and Chair at the Conservatoire National des Arts et M‚tiers, Paris, France.
