Monomial (1,0,-1) ? Matrices ? (4?4): Part 1 Application to the Transfer in Space

Kravets, Victor; Kravets, Tamila; Burov, Olexiy

ISBN 10: 3330017848 / ISBN 13: 9783330017849

Published by LAP LAMBERT Academic Publishing, 2016

About this Item

Seller Inventory # 26405871467

Bibliographic Details

• Title: Monomial (1,0,-1) ? Matrices ? (4?4): Part 1 Application to the Transfer in Space
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2016
• Language: English
• ISBN 10: 3330017848
• ISBN 13: 9783330017849
• Binding: Soft cover
• Condition: New

About this title

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.

About the Author

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.