Fundamentals of Advanced Mathematics V3

This book PDF is perfect for those who love Mathematics genre, written by Henri Bourles and published by Elsevier which was released on 11 October 2019 with total hardcover pages 424. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Fundamentals of Advanced Mathematics V3 books below.

Fundamentals of Advanced Mathematics V3
Author : Henri Bourles
File Size : 48,7 Mb
Publisher : Elsevier
Language : English
Release Date : 11 October 2019
ISBN : 9780081023860
Pages : 424 pages
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Fundamentals of Advanced Mathematics V3 by Henri Bourles Book PDF Summary

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

Fundamentals of Advanced Mathematics V3

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),

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