Hyperbolic Numbers

Item

Title

Hyperbolic Numbers

Description

David F. Putnam Science Center, Room 102

Abstract: The algebraic equation x^2 = 1 has two solutions x = -1, 1. We assume the existence of a new number u, called the unipotent, which has the property that u does not equal -1 or 1 and that u^2 = 1. The hyperbolic numbers then are of the form a + bu where a and b are real numbers. These are similar to complex numbers which are of the form a + bi where i^2 = -1. This talk will present the basic properties of hyperbolic numbers and emphasize the similarity with complex numbers. In addition, the Lorentz equations that relate the times and positions of an event as measured by two observers in relative motion in Einstein's Theory of Relativity will be derived using hyperbolic numbers.

Vincent Ferlini

Contributor

Keene State College

Creator

Kegan Landfair

Date

2016-04-09

Identifier

https://commons.keene.edu/s/KSCArchive/item/21060

Subject

Mathematics

Type

Presentation

Rights

http://rightsstatements.org/vocab/InC/1.0/

Item sets

AEC 2016 School of Sciences and Social Sciences

Site pages

School of Sciences and Social Sciences