Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Logical Difficulties with Cyclotomic Fields - Famous Math Problems 20

Insights into Mathematics via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the logical challenges surrounding cyclotomic fields in this mathematics lecture. Delve into the historical context of cyclotomic polynomials, tracing back to 19th-century work by Gauss. Examine the issues that arise when embedding cyclotomic fields into complex number fields, and how this approach can distort the purely algebraic nature of the subject. Investigate the classical "9th roots of unity" to illustrate the distinction between constructible zeroes and others in relation to ruler and compass constructions. Consider how infinite processes required in these concepts extend beyond the realm of algebra, highlighting the tensions between geometric interpretations and algebraic foundations in this area of mathematics.

Syllabus

Logical difficulties with cyclotomic fields | Famous Math Problems 20c | N J Wildberger

Taught by

Insights into Mathematics

Reviews

Start your review of Logical Difficulties with Cyclotomic Fields - Famous Math Problems 20

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.