O'Reilly logo

Methods of Mathematical Physics, Third Edition by Bertha Jeffreys, Harold Jeffreys

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 4MATRICES

‘All that isn’t Belgrave Square is Strand and Piccadilly’.

W. S. GILBERT, Utopia Limited

4·01. Introduction: definitions.

In considering tensors of the second order in three dimensions we have used an abbreviated notation Kik for the set of nine quantities

image

When they are displayed in this way the first suffix refers to the row and the second to the column. Such a set forms a tensor if each suffix refers to one of a set of axes, of the same system of reference, and the coefficients have certain transformation properties when the axes are rotated. We have so far considered rectangular axes only, but this is a particular case of ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required