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I think from this fairly basic article on imaginary numbers to octonions is too big a jump to be likely to be helpful. |
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</ref><ref>{{Cite web|last=Weisstein|first=Eric W.|title=Imaginary Number|url=https://mathworld.wolfram.com/ImaginaryNumber.html|access-date=2020-08-10|website=mathworld.wolfram.com|language=en}}</ref> The [[square (algebra)|square]] of an imaginary number {{mvar|bi}} is {{math|−''b''<sup>2</sup>}}. For example, {{math|
Originally coined in the 17th century by [[René Descartes]]<ref>{{cite book |title=Mathematical Analysis: Approximation and Discrete Processes |edition=illustrated |first1=Mariano |last1=Giaquinta |first2=Giuseppe |last2=Modica |publisher=Springer Science & Business Media |year=2004 |isbn=978-0-8176-4337-9 |page=121 |url=https://books.google.com/books?id=Z6q4EDRMC2UC}} [https://books.google.com/books?id=Z6q4EDRMC2UC&pg=PA121 Extract of page 121]</ref> as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of [[Leonhard Euler]] (in the 18th century) and [[Augustin-Louis Cauchy]] and [[Carl Friedrich Gauss]] (in the early 19th century).
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