Introducción al cálculo tensorial. by Machado, Luis M. Series: IRAM Edition statement:1a. ed. Physical details: p.: il.; 22 cm. Subject(s). ×. Cálculo tensorial — Problemas y ejercicios. More like this Add tags for “Teoría y problemas de análisis vectorial y una introducción al analisis tensorial”. Be the. Teoría y problemas de análisis vectorial y una introducción al análisis tensorial. [ Murray R Spiegel] vectorial — Problemas, ejercicios, etc. Cálculo de tensores.
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The final examination is scheduled for January 20th. This web page is not fully translated but following this icon, in each part there are some comments in likely broken English. I recommend to ask me for confirmation after choosing the topic.
Conservation of the energy. The modern view of the curvature tensor. Examples of flow and group law. Definition of manifold with boundary.
The cohomology groups of the torus. Proof of the equality between Lie bracket and Lie derivative.
Lagrangians invariant by transformations. The wedge product as an operation between differential forms.
Introducción al cálculo tensorial
Conservation of the angular momentum for interactions with spherical symmetry. Geodesics, covariant derivative and the computation of the Christoffel symbols. The grading is as follows: Local expression of a differential forms as a combination of determinants.
In each part of the course it is intended to use intdoduccion and other topics on Physics as motivation and to provide examples and applications. Equivalence with the Newton’s second law for free particles. The cotangent bundle as the phase space.
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Exponential map and Gauss Lemma. Note that neither the exam nor the composition is mandatory.
The topics covered in each lecture are listed here. The composition is a short essay about any topic related to differential geometry.
The vector mechanics formulation of the planetary motion. Definition of manifold, tangent vector and tangent map. Distributions and integral submanifolds. Euclidean Tensors, Einstein summation convention. Calculations with the tangent map referred to the double pendulum.
Examples of applications to the geometry of surfaces: Statement of the Stokes theorem.
The cohonology groups of the spheres. El horario de las clases es de Lie derivative and its geometrical interpretation.
Geometría diferencial (máster) 2014/2015
Here you can find a brief approximate dictionary Mechanics-Geometry. The deadline is January 15th The advisable length is pages double-spaced, 11pt or 12pt. The limitations regarding the format will be announced.