Description: Fundamentals of Advanced Mathematics 3 : Differential Calculus, Tensor Calculus, Differential Geometry, Global Analysis, Hardcover by Bourles, Henri (CON), ISBN 1785482505, ISBN-13 9781785482502, Like New Used, Free shipping in the US
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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Book Title: Fundamentals of Advanced Mathematics 3 : Differential Calculus, T
Number of Pages: 424 Pages
Publication Name: Fundamentals of Advanced Mathematics V3
Language: English
Publisher: Iste Press The Limited-Elsevier Incorporated
Publication Year: 2019
Subject: Geometry / Differential, Probability & Statistics / Stochastic Processes, Probability & Statistics / General, General, Calculus, Applied, Geometry / Algebraic
Type: Textbook
Author: Henri Bourles
Item Length: 9 in
Subject Area: Mathematics
Item Width: 6 in
Format: Hardcover
