{"product_id":"mathematical-muffin-morsels-nobody-wants-a-small-piece-hardcover","title":"Mathematical Muffin Morsels: Nobody Wants a Small Piece - Hardcover","description":"\u003cp\u003eby \u003cb\u003eWilliam Gasarch\u003c\/b\u003e (Author), \u003cb\u003eErik Metz\u003c\/b\u003e (Author), \u003cb\u003eJacob Prinz\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSuppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5\/3. You could cut each muffin into 1\/3-1\/3-1\/3 and give each student five 1\/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1\/3.\u003c\/p\u003e\u003cp\u003eIs there a way to divide five muffins for three students so that everyone gets 5\/3, and all pieces are larger than 1\/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5\/12. Is there a better division? Spoiler alert: No.\u003c\/p\u003e\u003cp\u003eIn this book we consider THE MUFFIN PROBLEM: what is the best way to divide up \u003cem\u003em\u003c\/em\u003e muffins for \u003cem\u003es\u003c\/em\u003e students so that everyone gets \u003cem\u003em\u003c\/em\u003e\/\u003cem\u003es\u003c\/em\u003e muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.\u003c\/p\u003e\u003cp\u003eThis problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. However, the math is elementary enough for an advanced high school student.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 228\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.56 x 9 x 6 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 18, 2020\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51758414168352,"sku":"9789811215179","price":93.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/ece52ab15a51ae00988d87752ba4c29c.webp?v=1780125489","url":"https:\/\/ebocreations.com\/products\/mathematical-muffin-morsels-nobody-wants-a-small-piece-hardcover","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}