THE QUATERNIONS NUMBERS AND VECTOR ALGEBRA

Abstract

This article is intended to present the quaternions numbers together with the properties of this algebra: associativity, conjugation, division and identitity of four squares. Finally, we will present the connection of quaternions numbers with vector algebra. 

 

Author Biographies

Lia Nojosa Sena

Master in Mathematics from the Federal University of Ceará.

Rubens Cainan Saboia Monteiro

Master in Mathematics from the Federal University of Ceará.

References

EBBINGHAUS, H.-D.; HERMES, H.; HIRZEBRUCH, F.; KOECHER, M.; MAINZER, K.; NEUKIRCH, J.; PRESTEL, A.; REMMERT, R. Graduate Texts in Mathematics, Readings in Mathematics: Numbers. New York: Springer, 1991.

HURWITZ, A. Ueber die Composition der quadratischen Formen von beliebig vielen Variablen. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, pp. 309–316, 1898.

FELZENSZWALB, B. Álgebra de dimensão finitas. Rio de Janeiro: IMPA, 1979.

KANTOR, I. L; SOLODOVNIKOV, A. S. Hypercomplex Numbers: An elementary introduction to Algebras. New York, 1989.

HAMILTON, W. R. On Quaternions; or on a new System of Imaginaries in Algebra, The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science (3rd Series) Vol. xxv-xxxvi, 1844- 1850; reprinted in The Mathematical Papers of Sir William Rowan Hamilton, Vol. iii (Algebra), Edited for the Royal Irish Academy by H Halberstam and R E Ingram, Cambridge University Press, Cambridge, 1967.

How to Cite

Nojosa Sena, L., & Cainan Saboia Monteiro, R. (2023). THE QUATERNIONS NUMBERS AND VECTOR ALGEBRA . RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(7), e473514. https://doi.org/10.47820/recima21.v4i7.3514