Fundamentals of Advanced Mathematics V3

This PDF book is become immediate popular in Mathematics genre. Fundamentals of Advanced Mathematics V3 is written by famous author Henri Bourles and Ready to Download in ePUB, PDF or Kindle formats. Released by Elsevier in 2019-10-11. Click Download Book button to get book file and read directly from your devices. Here is a quick description and cover image of Fundamentals of Advanced Mathematics V3 book.

Fundamentals of Advanced Mathematics V3
Author :
Publisher : Elsevier
Release Date :
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


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