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Fundamentals of advanced mathematics...

Bourles, Henri,

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

紀錄類型:	書目-電子資源 : 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:	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:

515831
Mathematics.
Index Terms--Genre/Form:

542853
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.
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 515831
650 0 $a Differential calculus. $3 648417
650 0 $a Calculus of tensors. $3 533863
650 0 $a Geometry, Differential. $3 523835
650 0 $a Global analysis (Mathematics) $3 631732
650 0 $a Manifolds (Mathematics) $3 612607
655 4 $a Electronic books. $2 lcsh $3 542853
856 4 0 $u https://www.sciencedirect.com/science/book/9781785482502