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Fundamentals of advanced mathematics.. 3,. Differential calculus, tensor calculus, differential geometry, global analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fundamentals of advanced mathematics./ Henri Bourles.
remainder title:	Differential calculus, tensor calculus, differential geometry, global analysis
Author:	Bourles, Henri,
Published:	Amsterdam :Elsevier, : 2019.,
Description:	1 online resource
Notes:	1. Differential and analytic manifolds -- 2. Fibered bundles -- 3. Tensor calculus on manifolds -- 4. Differential and integral calculus on manifolds -- 5. Connections -- 6. Calculus of variations and optimal control
Subject:	Mathematics. -
Online resource:	https://www.sciencedirect.com/science/book/9781785482502
ISBN:	9780081023860 (electronic bk.)

Fundamentals of advanced mathematics.. 3,. Differential calculus, tensor calculus, differential geometry, global analysis
Bourles, Henri,

Fundamentals of advanced mathematics.3,Differential calculus, tensor calculus, differential geometry, global analysis[electronic resource] /Differential calculus, tensor calculus, differential geometry, global analysisHenri Bourles. - Amsterdam :Elsevier,2019. - 1 online resource

1. Differential and analytic manifolds -- 2. Fibered bundles -- 3. Tensor calculus on manifolds -- 4. Differential and integral calculus on manifolds -- 5. Connections -- 6. Calculus of variations and optimal control

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.

ISBN: 9780081023860 (electronic bk.)Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

LC Class. No.: QA36

Dewey Class. No.: 510

Fundamentals of advanced mathematics.. 3,. Differential calculus, tensor calculus, differential geometry, global analysis
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245 1 0 $a Fundamentals of advanced mathematics. $n 3, $p Differential calculus, tensor calculus, differential geometry, global analysis $h [electronic resource] / $c Henri Bourles.
246 3 0 $a Differential calculus, tensor calculus, differential geometry, global analysis
260 $a Amsterdam : $b Elsevier, $c 2019.
300 $a 1 online resource
500 $a 1. Differential and analytic manifolds -- 2. Fibered bundles -- 3. Tensor calculus on manifolds -- 4. Differential and integral calculus on manifolds -- 5. Connections -- 6. Calculus of variations and optimal control
520 $a 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.
588 $a Description based on CIP data; resource not viewed.
650 0 $a Mathematics. $3 527692
650 0 $a Differential calculus. $3 791994
650 0 $a Calculus of tensors. $3 598495
650 0 $a Geometry, Differential. $3 527830
650 0 $a Global analysis (Mathematics) $3 672270
650 0 $a Manifolds (Mathematics) $3 672402
655 4 $a Electronic books. $2 local $3 554714
856 4 0 $u https://www.sciencedirect.com/science/book/9781785482502