Kofi Annan, former Secretary General of the United Nations, argued
that “We need to create a world that is equitable, that is stable
and a world where we bear in mind the needs of others, and not only
what we need immediately. We are all in the same boat.” American
businessman, John Landgraf stated: “I hope that most of us
believe that we actually would all benefit from living in a more
equitable society. If that's not happening, we're squandering human
potential.” For the world to be fair, one needs to know how to
divide. Without the mathematics of division, humankind cannot
function.... Marie Antoinette, Queen of France (infamously) said
“If people have no bread, let them eat cake,” and while Ahmes
― the scribe of the Rhind Mathematical Papyrus ― dealt with
loaves of bread, prosperous people in the twentieth century dealt
with cake division, although bread is also uniformly available.
You’ll be surprised, but there are at least four books and over
200 scientific (not gastronomical!) papers on cake division. Those
authors were not overly concerned with obesity, one can guess, but
whether distributing loaves, cakes, chores or dividends, one needs
to master division. This book deals with a wide spectrum of
division problems, and provides the historical background, giving a
sense of how pervasive division is in our lives. In particular, the
second part focuses on a problem that remained open until 1985,
when Professor Robert Aumann (Nobel laureate in Economics, 2005)
and Professor Michael Maschler solved it using game-theoretic
techniques. Simple alternative solutions are given, which are
suitable for high schools and other educational institutions.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Release date: |
2024 |
| Firstpublished: |
2024 |
| Authors: |
Isaac Elishakoff
|
| Dimensions: |
235 x 155mm (L x W) |
| Edition: |
1st ed. 2024 |
| ISBN-13: |
978-3-03-140418-4 |
| Categories: |
Books
|
| LSN: |
3-03-140418-1 |
| Barcode: |
9783031404184 |
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