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Period: to
The century XVIII
Calculation constitutes one of the great intellectual conquests of humanity.
The first period can be characterized as the time when mathematicians researched, refined, and developed hyper-complex number systems that they could use 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 -
Development of number systems
The time when mathematicians researched, discovered, and developed hyper-complex number systems that could be used in analysis in space. -
Tait.
After his tait graduation in 1852, he was appointed Fellow of Peterhouse College, Cambridge where he began the production of many of his books and co-authored W. J. Steele's book Dynamics of a Particle. -
The great articles on electricity
Maxwell composed his four great papers on electricity. The discovery published in these documents, especially those concerning the concept of electromagnetic field, involved mathematical problems treated with quaternion analysis despite not having used them as such. -
Equation
Maxwell first presented his famous equation written in component notation while in his 1873 Treatise on Electricity and Magnetism he wrote it in both component and quaternion notation. -
Ordinary complex numbers
The transition that occurred in the period from 1865 to 1880 takes a relevant place on the dates. Hamilton and those who worked with ordinary complex numbers were not the only mathematicians of their time who were investigating vector systems. -
The mathematical classification of physical magnitudes
This is the famous document entitled the mathematical classification of physical quantities in which Maxwell delved into an explanation of why a mathematical classification of physical quantities was important, with special emphasis on the classification of physical entities in scalars and vectors. -
Quaternion analysis
He developed quaternion analysis as a tool for research in the physical sciences, and created many new theorems in quaternion analysis that could be translated into modern vector analysis. -
The acceptance of vector analysis
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. -
Tait
He distinguished himself as a great reader and writer of scientific books (22 books were both wholly and partially written by him) and as a productive research scientist. He published 365 papers, of which approximately 70 were on quaternions.