![Vector. A surprising story of space, time, and mathematical transformation.]({"type":"image" , "src" : "/sda/112417/JournalAd-Chicagouni-UMHO-Leaderboard.gif"})
Further Reading
- For more visual proofs with triangular numbers, see James Tanton's “Triangular Numbers” in the November 2005 issue of Math Horizons. For visual proofs in combinatorics, see Jennifer Quinn and Arthur Benjamin's Proofs That Really Count: The Art of Combinatorial Proof (MAA, 2003). For an introduction to creating visual proofs, see Claudi Alsina and Roger Nelsen's Math Made Visual: Creating Images for Understanding Mathematics (MAA, 2006). Some of the proofs in the article originally came from:
- T. Apostol, “The irrationality of the square root of two—a geometric proof,” Am. Math. Monthly, 107 (2000), 841–842.
- M. Boardman, “Proof without words: Pythagorean runs,” Math. Mag., 73 (2000), 59.
- D. Goldberg, personal communication.
- J. Gomez, “Proof without words: Pythagorean triples and factorizations of even squares,” Math. Mag., 78 (2005), 14.
- L. Larson, “A discrete look at 1+2+…+n,” College Math. J., 16 (1985), 369–382.
- C. Vanden Eynden, Elementary Number Theory, Random House, 1987.