THE QUATERNIONS NUMBERS AND VECTOR ALGEBRA

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DOI:

https://doi.org/10.47820/recima21.v4i7.3514

Keywords:

numbers together with the properties of this

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. 

 

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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.

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Published

09/07/2023

Issue

Vol. 4 No. 7 (2023): CLICK HERE TO ACCESS THE ARTICLES

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ARTIGOS

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How to Cite

THE QUATERNIONS NUMBERS AND VECTOR ALGEBRA . (2023). RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(7), e473514. https://doi.org/10.47820/recima21.v4i7.3514