Abstract
Dual numbers have been introduced in the ninetieth century by William Clifford when dealing with the theory of engines which used a nilpotent operator noted ε. Their application to the study of kinematics of rigid articulated bodies has been developed by Kotelnikov of Kazan University. More recently several authors (Yang, Ravani, Pennock, Roth) have developed computer tools for dual numbers calculus.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
E. Pennestri, R. Stefanelli, “Linear Algebra and Numerical Algorithms using Dual Numbers”, Journal of Multibody Systems Dynamics, vol. 18, 2007, pp. 323–344.
R. S. Ball, Theory of screws, Cambridge University Press, 1900.
J. Duffy, Analysis of mechanisms and robot manipulators, Halstead Press, 1980.
Y. L. Gu, Y.L. and J. Y. S. Luh, Dual number transformations and its applications to robotics, IEEE Journal and Robotics and Automation, vol. RA-3, December 1987.
K. Sugimoto, K and J. Duffy, Application of linear algebra to screw systems, Mechanism and Machine Theory, vol. 17, no. 1, 73–83, 1982.
W. B. Vasantha Kandasamy W.B. and F. Smarandache, Algebraic structures using natural class of intervals, The Educational Publisher, Ohio, 2011.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Mora-Camino, F., Nunes Cosenza, C.A. (2018). Dual Numbers. In: Fuzzy Dual Numbers. Studies in Fuzziness and Soft Computing, vol 359. Springer, Cham. https://doi.org/10.1007/978-3-319-65418-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-65418-8_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-65417-1
Online ISBN: 978-3-319-65418-8
eBook Packages: EngineeringEngineering (R0)