Abstract
Introduction: The group is one of the fundamental concepts in mathematics. This is hardly surprising, since for example the integers form a group with respect to addition. Group theory provides a typical example of the mathematical method. Starting from a small number of definitions and axioms, a body of knowledge arises which has led to the solution of central problems in mathematics. Today, group theory belongs to the foundations of science and engineering. The present chapter is only an introduction to the amazingly rich properties of groups.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Pahl, P.J., Damrath, R. (2001). Groups. In: Mathematical Foundations of Computational Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56893-0_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-56893-0_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63238-9
Online ISBN: 978-3-642-56893-0
eBook Packages: Springer Book Archive