Abstract
So far, our discussion has been nonmathematical. Ignoring mathematics, however, does not necessarily make things easier. Group theory is the mathematical apparatus for describing symmetry operations. It facilitates the understanding and the use of symmetries. It may not even be possible to successfully attack some complex problems without the use of group theory. Besides, groups are fascinating.
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
Preview
Unable to display preview. Download preview PDF.
References
F. A. Cotton, Chemical Applications of Group Theory, 3rd ed., Wiley-Interscience, New York (1990).
A. Nussbaum, Applied Group Theory for Chemists, Physicists and Engineers, Prentice-Hall, Englewood Cliffs, New Jersey (1971).
L. H. Hall, Group Theory and Symmetry in Chemistry, McGraw-Hill, New York (1969).
G. Burns, Introduction to Group Theory with Applications, Material Science Series (A. M. Alper and A. S. Nowich, eds.), Academic Press, New York (1977).
A. Vincent, Molecular Symmetry and Group Theory: A Programmed Introduction to Chemical Applications, Wiley-Interscience, New York (1977).
S. H A. Kettle, Symmetry and Structure, John Wiley & Sons, Chichester, England (1985).
B. E. Douglas and C. A. Hollingsworth, Symmetry in Bonding and Spectra: An Introduction, Academic Press, Orlando, Florida (1985).
I. Hargittai and M. Hargittai, Math. Intell. 16(2), 60 (1994).
A. L. Mackay, Acta Crystallogr. 10, 543 (1957).
A. V. Shubnikov, Simmetriya i antisimmetriya konechnikh figur, Izd. Akad. Nauk SSSR, Moscow (1951).
A. Loeb, Color and Symmetry. Wiley-Interscience, New York (1971).
A. Loeb, in Patterns of Symmetry (M. Senechal and G. Fleck, eds.), University of Massachusetts Press, Amherst (1977).
M. Senechal, Acta Crystallogr., Sect. A 39, 505 (1983).
M. Orchin and H. H. Jaffe, Symmetry, Orbitals, and Spectra (S.O.S.), Wiley-Interscience, New York (1971).
Rights and permissions
Copyright information
© 1995 Plenum Press
About this chapter
Cite this chapter
(1995). Helpful Mathematical Tools. In: Symmetry through the Eyes of a Chemist. Springer, Boston, MA. https://doi.org/10.1007/978-0-585-31234-7_4
Download citation
DOI: https://doi.org/10.1007/978-0-585-31234-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-44852-2
Online ISBN: 978-0-585-31234-7
eBook Packages: Springer Book Archive