{"title":"William Gasarch","description":null,"products":[{"product_id":"mathematical-muffin-morsels-nobody-wants-a-small-piece-book-william-gasarch-9789811215179","title":"Mathematical Muffin Morsels: Nobody Wants A Small Piece","description":"Suppose 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.Is 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.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m\/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This 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.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51067289501969,"sku":"NIN9789811215179","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52686429913361,"sku":"NLS9789811215179","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9811215170.jpg?v=1750732402"},{"product_id":"mathematical-muffin-morsels-nobody-wants-a-small-piece-book-william-gasarch-9789811215971","title":"Mathematical Muffin Morsels: Nobody Wants A Small Piece","description":"Suppose 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.Is 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.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m\/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. 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Or how sometimes you instinctively know a math statement is false (or not known)?Each chapter of this book makes a point like those above and then illustrates the point by doing some real mathematics through step-by-step mathematical techniques.This book gives readers valuable information about how mathematics and theoretical computer science work, while teaching them some actual mathematics and computer science through examples and exercises. Much of the mathematics could be understood by a bright high school student. The points made can be understood by anyone with an interest in math, from the bright high school student to a Field's medal winner.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52587239407889,"sku":"NLS9789813279728","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789813279728.jpg?v=1761055962"},{"product_id":"problems-with-a-point-exploring-math-and-computer-science-book-william-gasarch-9789813279971","title":"Problems With A Point: Exploring Math And Computer Science","description":"Ever notice how people sometimes use math words inaccurately? 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