Nets, Puzzles, and Postmen: An exploration of mathematical connections
What do road and railway systems, electrical circuits, mingling at parties, mazes, family trees, and the internet all have in common? All are networks - either people or places or things that relate and connect to one another. Only relatively recently have mathematicians begun to explore such networks and connections, and their importance has taken everyone by surprise. The mathematics of networks form the basis of many fascinating puzzles and problems, from tic-tac-toe and circular sudoku to the 'Chinese Postman Problem' (can he deliver all his letters without traversing the same street twice?). Peter Higgins shows how such puzzles as well as many real-world phenomena are underpinned by the same deep mathematical structure. Understanding mathematical networks can give us remarkable new insights into them all.
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Nets, Puzzles, and Postmen: An exploration of mathematical connections
What do road and railway systems, electrical circuits, mingling at parties, mazes, family trees, and the internet all have in common? All are networks - either people or places or things that relate and connect to one another. Only relatively recently have mathematicians begun to explore such networks and connections, and their importance has taken everyone by surprise. The mathematics of networks form the basis of many fascinating puzzles and problems, from tic-tac-toe and circular sudoku to the 'Chinese Postman Problem' (can he deliver all his letters without traversing the same street twice?). Peter Higgins shows how such puzzles as well as many real-world phenomena are underpinned by the same deep mathematical structure. Understanding mathematical networks can give us remarkable new insights into them all.
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Nets, Puzzles, and Postmen: An exploration of mathematical connections

Nets, Puzzles, and Postmen: An exploration of mathematical connections

by Peter M Higgins (Other)
Nets, Puzzles, and Postmen: An exploration of mathematical connections
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Nets, Puzzles, and Postmen: An exploration of mathematical connections

Nets, Puzzles, and Postmen: An exploration of mathematical connections

by Peter M Higgins (Other)

Overview

What do road and railway systems, electrical circuits, mingling at parties, mazes, family trees, and the internet all have in common? All are networks - either people or places or things that relate and connect to one another. Only relatively recently have mathematicians begun to explore such networks and connections, and their importance has taken everyone by surprise. The mathematics of networks form the basis of many fascinating puzzles and problems, from tic-tac-toe and circular sudoku to the 'Chinese Postman Problem' (can he deliver all his letters without traversing the same street twice?). Peter Higgins shows how such puzzles as well as many real-world phenomena are underpinned by the same deep mathematical structure. Understanding mathematical networks can give us remarkable new insights into them all.

Product Details

ISBN-13: 9780191551161
Publisher: OUP Oxford
Publication date: 11/22/2007
Sold by: Barnes & Noble
Format: eBook
File size: 994 KB

About the Author

Peter M. Higgins is Professor of Mathematics and Head of Mathematical Sciences at the Univesity of Essex, UK. His previous mathematics books for a popular audience include Mathematics for the Curious, Mathematics for the Imagination, and The Official Book of Circular Sudoku. He is the inventor of Circular Sudoku which has now appeared throughout the world in magazines, book, the internet and on handheld computer games.

Table of Contents

  • Preface
  • 1: Nets, trees and lies
  • 2: Trees and games of logic
  • 3: The nature of networks
  • 4: Coloring and Planarity
  • 5: How to traverse a network
  • 6: One-way systems
  • 7: Spanning networks
  • 8: Going with the flow
  • 9: Novel applications of nets
  • 10: For Connoisseurs
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