Fundamentals Of Advanced Mathematics V3: 1ed
Bourles, Henri
Sold by Biblios, Frankfurt am main, HESSE, Germany
AbeBooks Seller since September 10, 2024
New - Hardcover
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Add to basketSold by Biblios, Frankfurt am main, HESSE, Germany
AbeBooks Seller since September 10, 2024
Condition: New
Quantity: 1 available
Add to basketFundamentals 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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