Articles liés à Mathematical Muffin Morsels: Nobody Wants a Small Piece

9789811215971: Mathematical Muffin Morsels: Nobody Wants a Small Piece
Couverture souple
ISBN 10 : 9811215979 ISBN 13 : 9789811215971
Editeur : World Scientific Publishing Co Pte Ltd, 2020

Synopsis

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.

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Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2020
Langue
anglais
ISBN 10 
9811215979
ISBN 13 
9789811215971
Reliure
Broché
Nombre de pages
228
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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