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OverviewKofi 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. Full Product DetailsAuthor: Isaac ElishakoffPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2024 ISBN: 9783031404184ISBN 10: 3031404181 Pages: 275 Publication Date: 04 May 2024 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationIsaac Elishakoff serves as a Distinguished Research Professor at the Florida Atlantic University (FAU), in Boca Raton, Florida, USA. He has authored 18 books and over 590 scientific papers. He was awarded the Worcester Reed Warner Medal by the American Society of Mechanical Engineers in 2016, the Blaise Pascal Medal by the European Academy of Sciences in 2021, and the FAU President’s Award for Career Achievement in 2023. Tab Content 6Author Website:Countries AvailableAll regions |