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Quaternions: A Mathematica Package for Quaternionic Analysis

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Computational Science and Its Applications - ICCSA 2011 (ICCSA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6784))

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Abstract

This paper describes new issues of the Mathematica standard package Quaternions for implementing Hamilton’s Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions. A collection of new functions is introduced in order to provide basic mathematical tools necessary for dealing with regular functions in ℝn + 1, for n ≥ 2. The performance of the package is illustrated by presenting several examples and applications.

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Author information

Authors and Affiliations

  1. Departamento de Matemática e Aplicações, Universidade do Minho, Portugal

    M. I. Falcão

  2. Departamento de Matemática e Aplicações and Centro de Matemática, Universidade do Minho, Portugal

    Fernando Miranda

Authors
  1. M. I. Falcão
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  2. Fernando Miranda
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Editor information

Editors and Affiliations

  1. L.I.S.U.T. - D.A.P.I.T., Basilicata University Potenza, 10, Viale dell’Ateneo Lucano, 85100, Potenza, Italy

    Beniamino Murgante

  2. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

  3. Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros, s/n, C.P. 39005, Santander, Spain

    Andrés Iglesias

  4. School of Business Systems, Monash University, 3800, Clayton, VIC, Australia

    David Taniar

  5. Department of Intelligent Informatics, Kyushu Sangyo University, 2-3-1 Matsukadai, Higashi-ku, 813-8503, Fukuoka, Japan

    Bernady O. Apduhan

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© 2011 Springer-Verlag Berlin Heidelberg

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Falcão, M.I., Miranda, F. (2011). Quaternions: A Mathematica Package for Quaternionic Analysis. In: Murgante, B., Gervasi, O., Iglesias, A., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications - ICCSA 2011. ICCSA 2011. Lecture Notes in Computer Science, vol 6784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21931-3_17

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  • DOI: https://doi.org/10.1007/978-3-642-21931-3_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21930-6

  • Online ISBN: 978-3-642-21931-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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