Hyle 19 (1):87 - 105 (2013)

It is pointed out that visualization, such as the structural formula of molecules, is the most important factor in ‘chemical thinking’. How mathematical chemistry has contributed to the development of mathematics is described with particular reference to the topological index or Z-index, proposed by the present author, and fullerene chemistry developed by mathematical chemists in various countries. Mathematical chemistry will be able to contribute to the development of mathematics by interplaying with mathematicians in the same way as it has been developing up to the present stage
Keywords Philosophy of Chemistry  mathematical chemistry  visualization  structural formula  graph theory  topological index  fullerene science
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