The Liar Paradox and the Towers of Hanoi: The Ten Greatest Math Puzzles of All Time - ISBN:0471648167

The Liar Paradox and the Towers of Hanoi: The Ten Greatest Math Puzzles of All Time

Date: 08 May 2011, 00:53

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Puzzles are as old as human history.What do they reveal about the human mind? A walk through history's most mind-boggling puzzles.In the humanities and the arts, there is a long-standing tradition of identifying the masterpieces-the great novels, the great symphonies, and the great paintings-as the most illuminating things to study. Books are written and courses taught on them. Mathematics, too, has its "great" problems. Significantly, most of these were originally devised as clever puzzles. So, in line with teaching practices in literature, music, and the fine arts, this book introduces basic mathematical ideas through ten puzzle masterpieces.
Review
"With the proliferation of puzzle books, one looks for something different, and here it is! : This treatment will arouse interest, ally suspicion and banish fear." (Mathematical Association of America Online)
"Delightful." (Mathematics Teacher)
Review
"As an undergraduate math major, I studied various areas of mathematics as if under a sequence of microscopes. I had no clear picture of what mathematics as a whole was about. Here is a book, based on ten great puzzles, that provides that much needed view from 40,000 feet. Big concepts such as topology, combinatorics, logic, the infinite, and many others come into clear view at this altitude. For those seeking more detail, there is always the option to land and explore a host of mathematical issues, puzzles and related references. Danesi's approach to relating difficult material is seductive."
-Sam Savage, Consulting Professor, Stanford University and Inventor of the ShmuzzleT Puzzle.
Contents
Introduction
The Riddle of the Sphinx
Alcuin's River-Crossing Puzzle
Fibonacci's Rabbit Puzzle
Euler's Knigsberg Bridges Puzzle
Guthrie's Four-Color Problem
Lucas's Towers of Hanoi Puzzle
Loyd's Get Off the Earth Puzzle
Epimenides' Liar Paradox
The Lo Shu Magic Square
The Cretan Labyrinth
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