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Investigation period.
mathematicians researched, discovered, and developed hyper-complex number systems that could be used in analysis in space. This period begins at the end of the 18th century with Leibniz, including the six men credited as discoverers of the geometric representation of complex numbers; they are Wessel, Gauss, Argand, Buée, Mourey and Warren and it ends in 1865, the year Hamilton died. -
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Peter Guthrie Tait (1831-1901)
for the history of vector analysis can be shown in four ways. He was the leader in the knowledge of the quaternion system from 1865 until his death. Tait began quaternion analysis as a tool for research in the physical sciences, and created many new theorems in quaternion analysis that can be converted into modern vector analysis. -
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Recognition period.
The second period was more a time of recognition than of discovery, because in this period scientists recognized the need for a vector method and to specify its characteristics within a vector system. The year 1880 can be taken as the end of this period. The central figures of this period are Tait, Peirce, Maxwell and Clifford. -
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Vector methods.
The great debate on vectorial methods developed in the period from 1890 to 1894; this suggests that as a result of this debate, the Gibbs-Heaviside system became widely known, although in 1894 this system was still not fully accepted by the scientific community. -
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Vector analysis.
In the period from 1894 to 1910, vector analysis was widely accepted, which is established by the fact that a substantial number of important publications presented the system of vector analysis as something common. -
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Calculus development.
In the 19th century there was an "arithmetization" of mathematics. Secondly, there was a real explosion in all branches of mathematics. And specifically, the development of calculus gave rise to what is known today as the name of mathematical analysis.