It takes the average reader 3 hours and 53 minutes to read Mathematical Muffin Morsels: Nobody Wants A Small Piece by William Gasarch
Assuming a reading speed of 250 words per minute. Learn more
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.
Mathematical Muffin Morsels: Nobody Wants A Small Piece by William Gasarch is 227 pages long, and a total of 58,339 words.
This makes it 77% the length of the average book. It also has 71% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 18 minutes to read Mathematical Muffin Morsels: Nobody Wants A Small Piece aloud.
Mathematical Muffin Morsels: Nobody Wants A Small Piece is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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