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Monomial (1,0,-1) - Matrices - (4×4)

Name: Monomial (1,0,-1) - Matrices - (4×4)
Brand: LAP Lambert Academic Publishing
SKU: 15575848
Price: 15972 HUF
Availability: InStock
Author: Victor Kravets
ISBN: 9783330017849

Part 1 Application to the Transfer in Space

Victor Kravets

Tamila Kravets

Olexiy Burov

Language

English

Book Paperback

Libristo code: 15575848

Publishers LAP Lambert Academic Publishing, December 2016

The monograph "Monomial (1,0,-1)-matrices-(4×4)" is dedicated to the further development of matrix c... Full description

Libristo code: 15575848

106 b

15 972 Ft

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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.