Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

The Mathematical Coloring Book : Mathematics of Coloring and the Colorful Life of its Creators, PDF eBook

The Mathematical Coloring Book : Mathematics of Coloring and the Colorful Life of its Creators PDF

PDF

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

Description

This is a unique type of book; at least, I have never encountered a book of this kind.

The best description of it I can give is that it is a mystery novel, developing on three levels, and imbued with both educational and philosophical/moral issues.

If this summary description does not help understanding the particular character and allure of the book, possibly a more detailed explanation will be found useful.

One of the primary goals of the author is to interest readers-in particular, young mathematiciansorpossiblypre-mathematicians-inthefascinatingworldofelegant and easily understandable problems, for which no particular mathematical kno- edge is necessary, but which are very far from being easily solved.

In fact, the prototype of such problems is the following: If each point of the plane is to be given a color, how many colors do we need if every two points at unit distance are to receive distinct colors?

More than half a century ago it was established that the least number of colorsneeded for such a coloring is either 4, or 5, or 6 or 7.

Well, which is it? Despite efforts by a legion of very bright people-many of whom developed whole branches of mathematics and solved problems that seemed much harder-not a single advance towards the answer has been made.

This mystery, and scores of other similarly simple questions, form one level of mysteries explored.

In doing this, the author presents a whole lot of attractive results in an engaging way, and with increasing level of depth.

Information

Other Formats

Information