Four Colors Suffice

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Author :
Release : 2002
Genre : Mathematics
Kind :
Book Rating : 232/5 ( reviews)

Four Colors Suffice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Four Colors Suffice write by Robin J. Wilson. This book was released on 2002. Four Colors Suffice available in PDF, EPUB and Kindle. On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.

The Four-Color Theorem

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 202/5 ( reviews)

The Four-Color Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Four-Color Theorem write by Rudolf Fritsch. This book was released on 2012-12-06. The Four-Color Theorem available in PDF, EPUB and Kindle. This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.

The Four-Color Problem

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Release : 2011-08-29
Genre : Mathematics
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Book Rating : 391/5 ( reviews)

The Four-Color Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Four-Color Problem write by . This book was released on 2011-08-29. The Four-Color Problem available in PDF, EPUB and Kindle. The Four-Color Problem

The Four-color Problem

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Author :
Release : 1986
Genre : Mathematics
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Book Rating : 920/5 ( reviews)

The Four-color Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Four-color Problem write by Thomas L. Saaty. This book was released on 1986. The Four-color Problem available in PDF, EPUB and Kindle.

Four Colours Suffice

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Release : 2003
Genre : History
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Book Rating : /5 ( reviews)

Four Colours Suffice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Four Colours Suffice write by Robin J. Wilson. This book was released on 2003. Four Colours Suffice available in PDF, EPUB and Kindle. The four-colour problem was one of the most famous and controversial conundrums ever known, and stumped thousands of puzzlers for over a century. It sounded simple- what is the least number of colours needed to fill in any map, so that neighbouring countries are always coloured differently? However, it would take over a hundred years for amateur problem-solvers and mathematicians alike to answer the question first posed by Francis Guthrie in 1852. And, even when a solution was finally found using computers, debate raged over whether this technology could ever provide the proof that traditional pen-and-paper calculations could. This is the gripping story of the race to solve the riddle - a tale of dedicated puzzlers, mind-boggling maps, human ingenuity and the great rhombicuboctahedron