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James Tanton at Region One ESC. James Stuart Tanton (born August 1, 1966) is a mathematician and math educator. He is a winner of the Kidder Faculty Prize for his teaching at The St. Mark’s Math Institute, scholar at the Mathematical Association of America, [1] author of over ten books on mathematics, curriculum, and education, and creator of videos on mathematics on YouTube.
An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational numbers ; any rational triangle can be rescaled by the lowest common denominator of the sides to obtain a similar integer triangle, so there is a close relationship between integer triangles ...
Encyclopedia of Mathematics is a 2005 encyclopedic reference work by American author James Tanton that was published by Facts-on-File of New York. [1] [2] Synopsis
Similar to a Pythagorean triple, an Eisenstein triple (named after Gotthold Eisenstein) is a set of integers which are the lengths of the sides of a triangle where one of the angles is 60 or 120 degrees. The relation of such triangles to the Eisenstein integers is analogous to the relation of Pythagorean triples to the Gaussian integers.
The isoperimetric inequality for triangles in terms of perimeter p and area T states that [13], with equality for the equilateral triangle. This is implied, via the AM–GM inequality, by a stronger inequality which has also been called the isoperimetric inequality for triangles: [14]
Pages in category "Triangles of numbers" The following 29 pages are in this category, out of 29 total. This list may not reflect recent changes. ...
Narayana triangle, counting strings of balanced parentheses with a given number of distinct nestings [7] Pascal's triangle , whose entries are the binomial coefficients [ 8 ] Triangular arrays of integers in which each row is symmetric and begins and ends with 1 are sometimes called generalized Pascal triangles ; examples include Pascal's ...
2004: James Tanton, Solve This: Math Activities for Students and Clubs; 2006: Arthur Benjamin and Jennifer Quinn, Proofs That Really Count: the Art of Combinatorial Proof [5] 2007: William P. Berlinghoff and Fernando Q. Gouvêa, Math through the Ages: A Gentle History for Teachers and Others [6] 2008: William Dunham, Euler: The Master of Us All