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Consortium for Mathematics and its Applications

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. INTRODUCTION

2. THE KRONECKER-DELTA

3. PERMUTATIONS

4. THE LEVI-CIVITA TENSOR

5. A USEFUL NOTATIONAL CONVENTION

6. RELATION BETWEEN THE KRONECKER-DELTA AND THE LEVI-CIVITA TENSOR

7. IDENTITIES IN VECTOR ALGEBRA

8. IDENTITIES IN VECTOR FIELDS

9. THE LEVI-CIVITA TENSOR IN FOUR DIMENSIONS

10. MODEL EXAM

11. ANSWERS AND SOLUTIONS TO EXERCISES

12. 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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