03480nam a22004815i 4500 978-3-031-40419-1 DE-He213 20251030112026.0 cr nn 008mamaa 240503s2024 sz | s |||| 0|eng d 9783031404191 978-3-031-40419-1 10.1007/978-3-031-40419-1 doi QA1-939 PB bicssc MAT000000 bisacsh PB thema Elishakoff, Isaac. author. aut http://id.loc.gov/vocabulary/relators/aut 76302 Fair Share [electronic resource] : 111 Problems from Ahmes to Aumann / by Isaac Elishakoff. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XX, 275 p. 158 illus., 28 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Part 1. Problems -- Part 2. Solutions -- Discussion -- References. 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 John 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. Mathematics. 65523 General Mathematics and Education. 73687 Mathematics in Popular Science. 75252 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031404184 Printed edition: 9783031404207 Printed edition: 9783031404214 https://doi.org/10.1007/978-3-031-40419-1 ZDB-2-SMA ZDB-2-SXMS 59620 59620