A Moment's Thought: Centers of Mass and Combinatorial Identities. Issue 1 (1st February 2017)
- Record Type:
- Journal Article
- Title:
- A Moment's Thought: Centers of Mass and Combinatorial Identities. Issue 1 (1st February 2017)
- Main Title:
- A Moment's Thought: Centers of Mass and Combinatorial Identities
- Authors:
- Treeby, David
- Abstract:
- Summary: We provide proofs of well-known formulae using physical arguments. Specifically, we locate the center of mass of a configuration of masses two different ways, and then equate the results. Most notably, we show how this idea leads to a new proof without words for the sum of squares of consecutive natural numbers. We also demonstrate how the method can be profitably applied to certain combinatorial identities, and Fibonacci summations.
- Is Part Of:
- Mathematics magazine. Volume 90:Issue 1(2017)
- Journal:
- Mathematics magazine
- Issue:
- Volume 90:Issue 1(2017)
- Issue Display:
- Volume 90, Issue 1 (2017)
- Year:
- 2017
- Volume:
- 90
- Issue:
- 1
- Issue Sort Value:
- 2017-0090-0001-0000
- Page Start:
- 19
- Page End:
- 25
- Publication Date:
- 2017-02-01
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- http://www.jstor.org/journals/0025570x.html ↗
http://www.maa.org/pubs/mathmag.html ↗
http://www.tandfonline.com/toc/umma20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.4169/math.mag.90.1.19 ↗
- Languages:
- English
- ISSNs:
- 0025-570X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 7153.xml