Hypercomplex numbers: How I stopped worrying and learned to love multilinear algebra (Part 1/2) скачать в хорошем качестве

Hypercomplex numbers: How I stopped worrying and learned to love multilinear algebra (Part 1/2)

Speaker: Daniel Fiłonik Moderator: Edmund Harriss Abstract: This seminar will serve up a smorgasbord of ideas revolving around the notion of hypercomplex numbers. Traditionally, the term hypercomplex number refers to an element of a finite-dimensional unital algebra over the field of real numbers. The hypercomplex numbers are stepping stones to learning about Lie groups and group representation theory. My aim is to reframe some of the key underlying ideas in more modern mathematical language by using multilinear algebra and string diagrams as graphical notation, while simultaneously keeping intact the original intuition of generalizing complex numbers. Ultimately, I hope to motivate further exploration by showing several practical applications of hypercomplex numbers in computer graphics and data visualization. ----- The talk will be moderated by Edmund Harriss. Edmund Harriss is a mathematician, artist, and assistant professor at the University of Arkansas. He is the discoverer of the Harriss spiral and the creator of the construction toy Curvahedra. He is the coauthor of Hello Numbers, What Can You Do? and the coauthor and illustrator of two mathematical coloring books: Patterns of the Universe and Visions of the Universe.