Accession Number : AD0674186

Title :   UNIFIED TREATMENT OF VECTORS AND TENSORS IN N-DIMENSIONAL EUCLIDEAN SPACE.

Descriptive Note : Research rept.,

Corporate Author : COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER N H

Personal Author(s) : Takagi,Shunsuke

Report Date : JUN 1968

Pagination or Media Count : 52

Abstract : A unified treatment of vectors, tensors and multivectors in n-dimensional Euclidean space is presented. The unified treatment is so systematized that n-dimensional tensors of arbitrary order are treated similarly to three-dimensional vectors. Work on this subject was done in connection with difficulties which arise in the continuum mechanics pertaining to large deformations of such media as soil and snow. (Author)

Descriptors :   (*TENSOR ANALYSIS, TOPOLOGY), VECTOR SPACES, ALGEBRAIC TOPOLOGY, TRANSFORMATIONS(MATHEMATICS), CONTINUUM MECHANICS, SOIL MECHANICS, DEFORMATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE