Fundamentals of Advanced Mathematics V3
- Indbinding:
- Hardback
- Sideantal:
- 424
- Udgivet:
- 18. september 2019
- Størrelse:
- 152x229x0 mm.
- Vægt:
- 800 g.
- 8-11 hverdage.
- 27. november 2024
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- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
Beskrivelse af Fundamentals of Advanced Mathematics V3
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.
Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and morePresents an ideal prerequisite resource on the analytic and geometric study of nonlinear systemsProvides theory as well as practical information
This volume is the prerequisite to the analytic and geometric study of nonlinear systems.
Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and morePresents an ideal prerequisite resource on the analytic and geometric study of nonlinear systemsProvides theory as well as practical information
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