Jump to ContentJump to Main Navigation
How to Free Your Inner MathematicianNotes on Mathematics and Life$
Users without a subscription are not able to see the full content.

Susan D'Agostino

Print publication date: 2020

Print ISBN-13: 9780198843597

Published to Oxford Scholarship Online: April 2020

DOI: 10.1093/oso/9780198843597.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 06 June 2020

Abandon perfectionism, because of the Hairy Ball Theorem

Abandon perfectionism, because of the Hairy Ball Theorem

Chapter:
(p.131) 22 Abandon perfectionism, because of the Hairy Ball Theorem
Source:
How to Free Your Inner Mathematician
Author(s):

Susan D'Agostino

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198843597.003.0023

“Abandon perfectionism, because of the Hairy Ball Theorem” explains the mathematics behind the Hairy Ball Theorem, including a basic introduction to topological equivalence, vectors, and continuous vector fields. The discussion is illustrated with numerous hand-drawn sketches. Readers will understand the meaning of mathematical sayings arising from the theorem, including, “you can’t comb a hairy ball,” “every cow has a cowlick,” and “there is always one place on Earth where the wind is not blowing.” Mathematics students and enthusiasts are encouraged to let the Hairy Ball Theorem serve as a reminder that perfection in mathematics and life is often an impossible goal and that it is often enough, maybe even desirable, to do one’s very best. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.

Keywords:   Hairy Ball Theorem, topological equivalence, vector, comb, math, student

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .