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Argand Diagram

  • Living reference work entry
  • First Online:
Encyclopedia of Mathematical Geosciences

Part of the book series: Encyclopedia of Earth Sciences Series ((EESS))

  • 71 Accesses

Synonyms

Argand plane; Cole-Cole plot; Complex plane; Gauss plane; Impedance diagram; Zero-pole diagram; Zero-pole plane; z-plane

Definition

The Argand diagram denotes a graphical method to plot complex numbers, expressed in the form z = x + iy, where (x, y) are used as coordinates and plotted on a plane with two orthogonal axes, the abscissa representing the real axis and the ordinate the imaginary axis.

Argand Diagram

The Argand diagram is a way to plot a complex number in the form of z = x + iy, using the ordered pair (x, y) as coordinates and where the constant i represents the imaginary unit, i.e., \( \sqrt{-1} \). The Argand diagram (or plane) is therefore defined by two orthogonal axes where the abscissa refers to a real axis and the ordinate to an imaginary axis.

Historical Origin of the Argand Diagram

The family name attached to the Argand diagram designates that this geometric representation of complex numbers is credited to Swiss mathematician Jean-Robert Argand, who was...

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Bibliography

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Author information

Authors and Affiliations

  1. Institute of Earth Sciences, University of Lausanne, Lausanne, Switzerland

    James Irving

  2. Institute of Earth Surface Dynamics, University of Lausanne, Lausanne, Switzerland

    Eric P. Verrecchia

Authors
  1. James Irving
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  2. Eric P. Verrecchia
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Corresponding author

Correspondence to Eric P. Verrecchia .

Editor information

Editors and Affiliations

  1. System Science & Informatics Unit, Indian Statistical Institute- Bangalore Centre, Bangalore, India

    B.S. Daya Sagar

  2. Insititue of Earth Sciences, China University of Geosciences, Beijing, China

    Qiuming Cheng

  3. School of Natural and Built Environment, Queen's University Belfast, Belfast, UK

    Jennifer McKinley

  4. Canada Geological Survey, Ottawa, ON, Canada

    Frits Agterberg

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Irving, J., Verrecchia, E.P. (2021). Argand Diagram. In: Daya Sagar, B., Cheng, Q., McKinley, J., Agterberg, F. (eds) Encyclopedia of Mathematical Geosciences. Encyclopedia of Earth Sciences Series. Springer, Cham. https://doi.org/10.1007/978-3-030-26050-7_43-1

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  • DOI: https://doi.org/10.1007/978-3-030-26050-7_43-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26050-7

  • Online ISBN: 978-3-030-26050-7

  • eBook Packages: Springer Reference Earth and Environm. ScienceReference Module Physical and Materials ScienceReference Module Earth and Environmental Sciences

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