Monomial (1,0,-1) – Matrices – (4×4): Part 1 Application to the Transfer in Space - Couverture souple

Kravets, Victor; Kravets, Tamila; Burov, Olexiy

 
9783330017849: Monomial (1,0,-1) – Matrices – (4×4): Part 1 Application to the Transfer in Space
Couverture souple
ISBN 10 : 3330017848 ISBN 13 : 9783330017849
Editeur : LAP LAMBERT Academic Publishing, 2016

Synopsis

The monograph “Monomial (1,0,-1)–matrices–(4×4)” is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The transfer (displacement) in space is described by the vector (hodograph). The turn (rotation) in space is described by quaternion. The first part of this monograph - Application to the transfer in space - is dedicated to establish the system of basic matrices isomorphic to the quaternionic groups; to explore the qualities and structure of quaternionic matrices` multiplicative compositions; to find the equivalent correspondences to associative products of quaternionic matrices and vector algebra multiplicative compositions; to represent complex vector and scalar vector algebra products; to represent complex vector and scalar vector algebra products with quaternionic matrices. The authors consider the exposed data to be able to contribute to this research area, to permit to enhance the intellectual performance, to provide the engineer with simple and efficient mathematical apparatus.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The monograph “Monomial (1,0,-1)–matrices–(4×4)” is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The transfer (displacement) in space is described by the vector (hodograph). The turn (rotation) in space is described by quaternion. The first part of this monograph - Application to the transfer in space - is dedicated to establish the system of basic matrices isomorphic to the quaternionic groups; to explore the qualities and structure of quaternionic matrices` multiplicative compositions; to find the equivalent correspondences to associative products of quaternionic matrices and vector algebra multiplicative compositions; to represent complex vector and scalar vector algebra products; to represent complex vector and scalar vector algebra products with quaternionic matrices. The authors consider the exposed data to be able to contribute to this research area, to permit to enhance the intellectual performance, to provide the engineer with simple and efficient mathematical apparatus.

Biographie de l'auteur

Prof., Dr.-ing. Victor Kravets, PhD Tamila Kravets, National Mining University, Dnipro, Ukraine. Olexiy Burov, Jack Baskin School of Engineering, University of California-Santa Cruz, CA, USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2016
Langue
anglais
ISBN 10 
3330017848
ISBN 13 
9783330017849
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
non disponible
Personne responsable
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