Hypercomplex numbers

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This brochure is devoted to hypercomplex numbers - generalization of ordinary complex numbers. In it, it tells about what the replacement of one “imaginary unit” i by several imaginary units leads to, in other words, it tells about the magnitudes of the form a+bi+cj... In particular, the book introduces the reader to remarkable examples of hypercomplex numbers - quaternions and octaves .. These numbers play a large role in various mathematical questions. The book deals with two such issues: the search for "algebras with division" (Frobenius' theorem) and the search for "normalized algebras" (Hurwitz's theorem) .
LF/885275448/R
Data sheet
- Name of the Author
- А.С.
И.Л.
Кантор
Солодовников - Language
- Russian
- Release date
- 1973