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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fundamentals of advanced mathematics./ Henri Bourles.
其他題名:	Differential calculus, tensor calculus, differential geometry, global analysis
作者:	Bourles, Henri,
出版者:	Amsterdam :Elsevier, : 2019.,
面頁冊數:	1 online resource
附註:	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
標題:	Manifolds (Mathematics) -
電子資源:	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:

672402
Manifolds (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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246 3 0 $a Differential calculus, tensor calculus, differential geometry, global analysis
260 $a Amsterdam : $b Elsevier, $c 2019.
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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.
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650 0 $a Global analysis (Mathematics) $3 672270
650 0 $a Geometry, Differential. $3 527830
650 0 $a Calculus of tensors. $3 598495
650 0 $a Differential calculus. $3 791994
650 0 $a Mathematics. $3 527692
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856 4 0 $u https://www.sciencedirect.com/science/book/9781785482502