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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More details about grading: Anonymous survey to sound out the level and interest of the students this one. Here you can find a brief approximate dictionary Mechanics-Geometry. Motivation and notation for the concept of metric. Motivation for the definition of connection. Definition of manifold, tangent vector and tangent map.


Koha online catalog › Details for: Introducción al cálculo tensorial

Lagrangians invariant by transformations. The problem about “avoidance of crossing” is proposed.

Transformation law for tensors. Distributions and integral submanifolds. Cohomology ans differential topology: The invariance of the exterior derivative by coordinate changes. Geometric meaning of Ricci tensor. Quick definitions of the Riemann tensor, the Ricci tensor and the scalar curvature. Parallel transport “absolute parallelism”.

The topics covered in each tensoroal are listed here. I recommend to ask me for confirmation after choosing the topic. Euclidean Tensors, Einstein summation convention.

Definition of manifold with boundary. The grading calcluo as follows: A brief dictionary between geometry and mechanics through the double pendulum example.

E is max Final exam, Composition.

Proof of that cohomology is homotopy invariant. Content of the lectures Part 1 Date. Corchete de Lie y el teorema de Frobenius.

Underlying ideas in Riemannian geometry. Motivation and meaning of the Riemann tensor. Motivation for Frobenius theorem. The final examination is scheduled for January 20th.


The contribution of other activities e. Newtonian approximation for weak fields.

Historical comments about the fundamental group, homology and cohomology. Proof of the equality between Lie bracket and Lie derivative. The hairy ball theorem and other topological results.

Introducción al cálculo tensorial

The vector mechanics formulation of the planetary motion. Curso de “Applied Topology” de Robert Ghirst. Mechanical interpretation of the geodesics.