The Realm of Sedenions: A Look Into Higher-Complex Numbers

· David R Ely
Ebook
121
Pages
Eligible
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About this ebook

"The Realm of Sedenions: A Look Into Higher-Complex Numbers" dives into the fascinating world of sedenions, a 16-dimensional number system with unique properties. The book explores the motivation behind studying sedenions, their formal definition with addition and non-commutative, non-associative multiplication, and how they differ from familiar number systems like real and complex numbers.

While sedenions lack widespread practical applications yet, the book delves into potential areas of exploration in physics and computer science. It also highlights the challenges mathematicians face due to the complex multiplication rules and the lack of a straightforward geometric interpretation for these high-dimensional numbers.

The book provides historical context by mentioning James Joseph Sylvester, who introduced sedenions. While directly visualizing 16 dimensions is difficult, the book discusses potential approaches like subspace projections and geometric analogies to gain a better understanding.

Exercises tailored to the audience's level and a resource section for further exploration round out the book, making it a valuable resource for anyone curious about venturing beyond the realm of familiar numbers.

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