Mathematical Muffin Morsels Nobody Wants A Small Piece is popular PDF and ePub book, written by William Gasarch in 2020-05-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Muffin Morsels Nobody Wants A Small Piece can be Read Online from any device for your convenience.
Mathematical Muffin Morsels Nobody Wants A Small Piece Book PDF Summary
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.
Detail Book of Mathematical Muffin Morsels Nobody Wants A Small Piece PDF
- Author : William Gasarch
- Release : 28 May 2020
- Publisher : World Scientific
- ISBN : 9789811215193
- Genre : Mathematics
- Total Page : 227 pages
- Language : English
- PDF File Size : 20,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Mathematical Muffin Morsels Nobody Wants A Small Piece by William Gasarch, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.