Mathematical chemistry is the area of research engaged in novel applications of mathematics to chemistry; it concerns itself principally with the mathematical modeling of chemical phenomena. Mathematical chemistry has also sometimes been called computer chemistry, but should not be confused with computational chemistry.
Major areas of research in mathematical chemistry include chemical graph theory, which deals with topology such as the mathematical study of isomerism and the development of topological descriptors or indices which find application in quantitative structure-property relationships; and chemical aspects of group theory, which finds applications in stereochemistry and quantum chemistry.
The history of the approach may be traced back to the 19th century. Georg Helm published a treatise titled "The Principles of Mathematical Chemistry: The Energetics of Chemical Phenomena" in 1894. Some of the more contemporary periodical publications specializing in the field are MATCH Communications in Mathematical and in Computer Chemistry, first published in 1975, and the Journal of Mathematical Chemistry, first published in 1987. In 1986 a series of annual conferences MATH/CHEM/COMP taking place in Dubrovnik was
initiated by the late Ante Graovac.
The basic models for mathematical chemistry are molecular graph and topological index.
In 2005 the International Academy of Mathematical Chemistry (IAMC) was founded in Dubrovnik (Croatia) by Milan Randić. The Academy has 82 members (2009) from all over the world, including six scientists awarded with a Nobel Prize.
- Molecular Descriptors for Chemoinformatics, by R. Todeschini and V. Consonni, Wiley-VCH, Weinheim, 2009.
- Mathematical Chemistry Series, by D. Bonchev, D. H. Rouvray (Eds.), Gordon and Breach Science Publisher, Amsterdam, 2000.
- Chemical Graph Theory, by N. Trinajstic, CRC Press, Boca Raton, 1992.
- Mathematical Concepts in Organic Chemistry, by I. Gutman, O. E. Polansky, Springer-Verlag, Berlin, 1986.
- Chemical Applications of Topology and Graph Theory, ed. by R. B. King, Elsevier, 1983.
- Topological approach to the chemistry of conjugated molecules, by A. Graovac, I. Gutman, and N. Trinajstic, Lecture Notes in Chemistry, no.4, Springer-Verlag, Berlin, 1977.
- ^ Restrepo, G. Mathematical chemistry, a new discipline. In Essays in the philosophy of chemistry, Scerri, E.; Fisher, G., Eds.; Oxford University Press: New York, UK, 2016; Chapter 15, 332-351. 
- ^ A review of the book by Ivan Gutman, Oskar E. Polansky, "Mathematical Concepts in Organic Chemistry" in SIAM Review Vol. 30, No. 2 (1988), pp. 348-350
- ^ Helm, Georg. The Principles of Mathematical Chemistry: The Energetics of Chemical Phenomena. translated by J. Livingston R. Morgan. New York: John Wiley & Sons, 1897. 
- N. Trinajstić, I. Gutman, Mathematical Chemistry, Croatica Chemica Acta, 75(2002), pp. 329–356.
- A. T. Balaban, Reflections about Mathematical Chemistry, Foundations of Chemistry, 7(2005), pp. 289–306.
- G. Restrepo, J. L. Villaveces, Mathematical Thinking in Chemistry, HYLE, 18(2012), pp. 3–22.
- Advances in Mathematical Chemistry and Applications. Volume 2. Basak S. C., Restrepo G., Villaveces J. L. (Bentham Science eBooks, 2015)