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Mini lecture: Introduction to Tensor Calculus

Mar 22
All-Day
22. March 2019
ZISC, Room 0.02-142, Martensstr. 5a, Erlangen

Beginning: 9 am

Introduction to Tensor Calculus (ITENS)
Classification: Mathematical skills (A), general background
Lecturer: Paul Steinmann
Language: English
Contents:

* Index versus symbolic notation, coordinate representation
* Vector and tensor products
* Eigenvalue problem, invariants, spectral representation, Cayley-Hamilton theorem
* Isotropic tensor functions, representation theorems
* Gradient, divergence, rotation of tensor fields
* Integral theorems (Gauss, Stokes)

Objectives:
The students

* are familiar with the notation and coordinate representation of tensors
* are able to compute various vector and tensor products
* are familiar with the spectral representation and its consequences
* know how to compute isotropic tensor functions
* know how to compute the gradient, divergence or rotation of a tensor field
* are familiar with the relevant integral theorems