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

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, different...

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Main Author: Bourles, Henri,
Other Authors: ScienceDirect (Online service)
Format: eBook
Language: English
Published: Amsterdam : Elsevier, 2019.
Physical Description: 1 online resource.
Subjects:
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245 1 0 |a Fundamentals of advanced mathematics.  |n 3,  |p Differential calculus, tensor calculus, differential geometry, global analysis /  |c Henri Bourles. 
246 3 0 |a Differential calculus, tensor calculus, differential geometry, global analysis. 
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500 |a 1. Differential and analytic manifolds<br>2. Fibered bundles<br>3. Tensor calculus on manifolds<br>4. Differential and integral calculus on manifolds<br>5. Connections<br>6. Calculus of variations and optimal control. 
588 |a Description based on CIP data; resource not viewed. 
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. 
650 0 |a Mathematics. 
650 0 |a Differential calculus. 
650 0 |a Calculus of tensors. 
650 0 |a Geometry, Differential. 
650 0 |a Global analysis (Mathematics) 
650 0 |a Manifolds (Mathematics) 
650 7 |a Calculus of tensors.  |2 fast. 
650 7 |a Differential calculus.  |2 fast. 
650 7 |a Geometry, Differential.  |2 fast. 
650 7 |a Global analysis (Mathematics)  |2 fast. 
650 7 |a Manifolds (Mathematics)  |2 fast. 
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