History and ways of development of mathematical crystallography
Abstract
One of the pressing issues of today is the introduction of mathematics in the field of geological and mineralogical sciences. In this connection it is instructive to trace on the example of crystallography, how the modern science of crystals grew from a purely descriptive natural history discipline, closely related to mineralogy, which is characterized above all by a strictly mathematical character. One of the greatest crystallographers who placed crystallography, in the words of A. K. Boldyrev, "...firmly, invariably and irrevocably on an exact mathematical, geometrical basis", was the world-famous professor and director of the St. Petersburg Mining Institute (now the Leningrad Mining Institute) E. S. Fedorov (1853-1919). His outstanding pupil A. K. Boldyrev (1883-1946) and even later the most talented representative of the Fedorov school V. I. Mikheev (1912-1956) worked successfully in the same direction. They made a significant contribution to the development of the mathematical foundations of modern crystallography, forever linking the history of this science with the history of the Leningrad Mining Institute. ...
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