Fundamentals of Advanced Mathematics V3 is popular PDF and ePub book, written by Henri Bourles in 2019-10-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fundamentals of Advanced Mathematics V3 can be Read Online from any device for your convenience.

Fundamentals of Advanced Mathematics V3 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

Detail Book of Fundamentals of Advanced Mathematics V3 PDF

Fundamentals of Advanced Mathematics V3
  • Author : Henri Bourles
  • Release : 11 October 2019
  • Publisher : Elsevier
  • ISBN : 9780081023860
  • Genre : Mathematics
  • Total Page : 424 pages
  • Language : English
  • PDF File Size : 18,5 Mb

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