03138nam a22003975i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001200153072001500165072002300180072001400203100008000217245009900297250001800396264006900414300006500483336002600548337002600574338003600600347002400636505007100660520170300731650001702434650003902451650003602490710003402526773002602560776003602586776003602622776003602658856004602694978-3-031-40419-1DE-He21320251030112026.0cr nn 008mamaa240503s2024    sz |    s    |||| 0|eng d  a97830314041917 a10.1007/978-3-031-40419-12doi 4aQA1-939 7aPB2bicssc 7aMAT0000002bisacsh 7aPB2thema1 aElishakoff, Isaac.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aFair Shareh[electronic resource] :b111 Problems from Ahmes to Aumann /cby Isaac Elishakoff.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXX, 275 p. 158 illus., 28 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPart 1. Problems -- Part 2. Solutions -- Discussion -- References.  aKofi 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. 0aMathematics.14aGeneral Mathematics and Education.24aMathematics in Popular Science.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303140418408iPrinted edition:z978303140420708iPrinted edition:z978303140421440uhttps://doi.org/10.1007/978-3-031-40419-1