Product ID: 99427

Supplementary Print

Undergraduate

# The Levi-Civita Tensor and Identities in Vector Analysis (UMAP)

### Author: Chang-li Yiu and Carrol O. Wilde

A unit that involves applications of vector field identities. This module allows students to gain the ability to derive vector identities and vector field identities using the Levi-Civita tensor.**Table of Contents:1. INTRODUCTION2. THE KRONECKER-DELTA3. PERMUTATIONS4. THE LEVI-CIVITA TENSOR5. A USEFUL NOTATIONAL CONVENTION6. RELATION BETWEEN THE KRONECKER-DELTA AND THE LEVI-CIVITA TENSOR7. IDENTITIES IN VECTOR ALGEBRA8. IDENTITIES IN VECTOR FIELDS9. THE LEVI-CIVITA TENSOR IN FOUR DIMENSIONS10. MODEL EXAM11. ANSWERS AND SOLUTIONS TO EXERCISES12. ANSWERS TO MODEL EXAM**

©1979 by COMAP, Inc.

UMAP Module

28 pages

#### Mathematics Topics:

Calculus

#### Application Areas:

Engineering & Construction , Physical Sciences , Electrical Engineering, Chemical Engineering

#### Prerequisites:

Course in vector analysis; ability to multiply matrices and manipulate determinants

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