{"product_id":"the-simplex-duplex-and-pascals-triangles-relatives-of-pascals-triangle-with-excursions-into-hyperspace-paperback","title":"The Simplex, Duplex and Pascal's Triangles: Relatives of Pascal's Triangle, with Excursions Into Hyperspace - Paperback","description":"\u003cp\u003eby \u003cb\u003eThomas M. Green\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003ePrepare to be intrigued by the many facets of\u003cbr\u003e the properties of the amazing array of numbers \u003cbr\u003e known as Pascal's Triangle and its many relatives. \u003cbr\u003e Some of the topics you will find: \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003e Polytopes \u003c\/li\u003e \u003cli\u003e Simplexes and the Simplex Triangle\u003c\/li\u003e \u003cli\u003e Tetrahedral, and higher dimensional figurate numbers\u003c\/li\u003e \u003cli\u003e Duplexes and The Duplex Triangle \u003c\/li\u003e \u003cli\u003e Geometric Duplication - Cubes and Hypercubes\u003c\/li\u003e \u003cli\u003e Vandermonde's Identity for the Duplex Triangle\u003cbr\u003e and the Triplex Triangle\u003c\/li\u003e \u003cli\u003e Euler's formula for Simplexes and Duplexes\u003c\/li\u003e \u003cli\u003e Recurrent Sequences in Pascal's Triangle and its Relatives \u003cbr\u003eIncluding the Fibonacci, Pell and Jacobsthal Sequences\u003c\/li\u003e \u003cli\u003e Pythagorean Triples - Related to the Sequences Listed Above\u003c\/li\u003e \u003cli\u003e Properties Involving String Products \u003c\/li\u003e \u003cli\u003e and more. \u003c\/li\u003e \u003c\/ul\u003e \u003cbr\u003e There is a comprehensive index that will allow readers to easily search for topics of their interest. \u003cp\u003e\u003c\/p\u003e  One goal is to provide a vehicle to the discovery of some higher mathematics related to higher dimensional geometric figures, at an entry level for the young beginning researcher by including many exercises that ask for verification of a pattern by testing specific cases and conjecturing a generalization of the pattern. \u003cp\u003e\u003c\/p\u003e Another major goal was to make available source materials for mathematics teachers to use in their classes. Included are many topics suitable for introducing students, at the pre-college level, to the sense of satisfaction one receives while exploring and discovering significant parts of advanced mathematics. \u003cp\u003e\u003c\/p\u003e I hope you will enjoy exploring this amazing Arithmetic Triangle and its relatives as much as I have. There is still much more to be discovered, of that I am certain. \u003cp\u003e\u003c\/p\u003e \u003ci\u003eTeachers and students are eligible for special discounts for purchases of this book. Send an email to tgreen0001@gmail.com for information on qualifying for a discount code to use before ordering. \u003c\/i\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eThomas M. Green was born in New York State, raised in Pennsylvania, Texas, and California. \u003cbr\u003e He received his Master's Degree in Mathematics in 1962 from California State University, Long Beach. He did post-graduate study at Stanford University in the late 1960's and early 1970's as a fellow in two different National Science Foundation projects in Mathematics and Computer Science.\u003cbr\u003e He has authored or co-authored several mathematical papers, textbooks, the book Pascal's Triangle and Pascal's Triangle, 2nd Ed. (with Charles L. Hamberg), and Texas Hold 'Em Poker Textbook. \u003cbr\u003e Tom is now professor emeritus of Mathematics at Contra Costa College. He lives in California with his wife Sandra. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e Also, by this author: \u003cp\u003e\u003c\/p\u003e \u003cb\u003ePascal's Triangle, 2nd Ed.\u003c\/b\u003e\u003cbr\u003e https: \/\/www.createspace.com\/3626370\u003cbr\u003e or\u003cbr\u003e http: \/\/www.amazon.com\/Pascals-Triangle-2nd-Thomas-Green\/dp\/1479289841\/\u003cbr\u003e \u003cp\u003e\u003c\/p\u003e \u003cb\u003eTexas Hold 'Em Poker Textbook\u003c\/b\u003e https: \/\/www.createspace.com\/3486256 \u003cbr\u003e or\u003cbr\u003e http: \/\/www.amazon.com\/Texas-Hold-Em-Poker-Textbook\/dp\/1453839348\/\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 176\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.38 x 11 x 8.5 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 25, 2015\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47430711902386,"sku":"9781514677094","price":26.93,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/6722d97a9308312c881312a4a4eb93e3.webp?v=1778575266","url":"https:\/\/box.dadyminds.org\/products\/the-simplex-duplex-and-pascals-triangles-relatives-of-pascals-triangle-with-excursions-into-hyperspace-paperback","provider":"DADYMINDS BOX","version":"1.0","type":"link"}