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Nets, Puzzles and Postmen

An Exploration of Mathematical Connections

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What do road and railway systems, mingling at parties, mazes, family trees, and the internet have in common? They are all networks—entities that connect and relate to one another. In this engaging exploration, Peter Higgins reveals that these diverse phenomena share a deep mathematical structure. The mathematics of networks underpins intriguing puzzles and problems, from tic-tac-toe to circular sudoku. By understanding networks, we gain remarkable insights into these puzzles and a variety of real-world issues. Higgins offers fresh perspectives on well-known mathematical challenges, such as the four-color map and the bridges of Konisberg, while posing intriguing questions like whether you can walk through all the doors of a house just once. He also delves into the Postman Problem, which seeks the most efficient way to deliver letters and return to the starting point without retracing any streets. Additionally, he examines the Harem Problem, a variation of the Marriage Problem, focused on satisfying the preferences of men seeking multiple wives. Recently, mathematicians have begun to uncover the significance of networks and connections, leading to surprising discoveries. This captivating journey into the world of networks will delight math enthusiasts everywhere.

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Nets, Puzzles and Postmen, Peter M. Higgins

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Année de publication
2007
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Titre
Nets, Puzzles and Postmen
Sous-titre
An Exploration of Mathematical Connections
Langue
Anglais
Publié
2007
Format
rigide
Pages
256
ISBN10
0199218420
ISBN13
9780199218424
Séries
Évaluation
3,65 sur 5
Description
What do road and railway systems, mingling at parties, mazes, family trees, and the internet have in common? They are all networks—entities that connect and relate to one another. In this engaging exploration, Peter Higgins reveals that these diverse phenomena share a deep mathematical structure. The mathematics of networks underpins intriguing puzzles and problems, from tic-tac-toe to circular sudoku. By understanding networks, we gain remarkable insights into these puzzles and a variety of real-world issues. Higgins offers fresh perspectives on well-known mathematical challenges, such as the four-color map and the bridges of Konisberg, while posing intriguing questions like whether you can walk through all the doors of a house just once. He also delves into the Postman Problem, which seeks the most efficient way to deliver letters and return to the starting point without retracing any streets. Additionally, he examines the Harem Problem, a variation of the Marriage Problem, focused on satisfying the preferences of men seeking multiple wives. Recently, mathematicians have begun to uncover the significance of networks and connections, leading to surprising discoveries. This captivating journey into the world of networks will delight math enthusiasts everywhere.