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## The Mathematical Coloring Book

Following the initial email, you will be contacted by the shop to confirm that your item is available for collection. Call us on or send us an email at. Unfortunately there has been a problem with your order. Springer has contracted his 7 books. The author's previous books were self-published and received many positive reviews, below are excerpts from reviews of "How Does One Cut A Triangle? Mainly because it is such a refreshing book. Professor Soifer makes the problems fascinating, the methods of attack even more fascinating, and the whole thing is enlivened by anecdotes about the history of the problems, some of their recent solvers, and the very human reactions of the author to some beautiful mathematics.

Most of all, the book has charm, somehow enhanced by his slightly eccentric English, sufficient to carry the reader forward without minding being asked to do rather a lot of work. I am tempted to include several typical quotations but I'll restrain myself to two: From Chapter 8 "Here is an easy problem for your entertainment. Problem 8. Now we have a new problem, therefore we are alive!

And the problem is this: what are all possible values of our newly introduced function S F? Can the function S F help us to classify geometry figures? This view is not without support.

It is reinforced by numerous examples at all levels, from elementary texts with page after page of mind-numbing drill to advanced books written in a relentless Theorem-Proof style. It reads like an adventure story. In fact, it is an adventure story, complete with interesting characters, moments of exhilaration, examples of serendipity, and unanswered questions. It conveys the spirit of mathematical discovery and it celebrates the event as have mathematicians throughout history. This delightful book considers and solves many problems in dividing triangles into n congruent pieces and also into similar pieces, as well as many extremal problems about placing points in convex figures.

The book is primarily meant for clever high school students and college students interested in geometry, but even mature mathematicians will find a lot of new material in it. I very warmly recommend the book and hope the readers will have pleasure in thinking about the unsolved problems and will find new ones. It is impossible to convey the spirit of the book by merely listing the problems considered or even a number of solutions. The manner of presentation and the gentle guidance toward a solution and hence to generalizations and new problems takes this elementary treatise out of the prosaic and into the stimulating realm of mathematical creativity.

Not only young talented people but dedicated secondary teachers and even a few mathematical sophisticates will find this reading both pleasant and profitable. We do not often have possibilities to look into a creative workshop of a mathematician The beginner, who is interested in the book, not only comprehends a situation in a creative mathematical studio, not only is exposed to good mathematical taste, but also acquires elements of modern mathematical culture.

And not less important the reader imagines the role and place of intuition and analogy in mathematical investigation; he or she fancies the meaning of generalization in modern mathematics and surprising connections between different parts of this science that are, as one might think, far from each other that unite them This makes the book alive, fresh, and easily readable.

Alexander Soifer has produced a good gift for the young lover of mathematics. And not only for youngsters; the book should be interesting even to professional mathematicians.

Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines. Ramsey, Bartel L. This coloring book is for my late father Yuri Soifer,a great painter, who introduced colors into my life. First paint a cageWith wide open door,Then paint somethingBeautiful and simple,Something very pleasantAnd much neededFor the bird;Then lean the canvas on a treeIn a garden or an orchard or a forest And hide behind the tree,Do not talkDo not move.

Sometimes the bird comes quicklyBut sometimes she needs years to decideDo not give up,Wait,Wait, if need be, for years,The length of waiting Be it short or long Does not carry any significanceFor the success of your paintingWhen the bird comes If only she ever comes Keep deep silence,Wait,So that the bird flies in the cage,And when she is in the cage,Quietly lock the door with the brush,And without touching a single featherCarefully wipe out the cage.

## Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its

Then paint a tree,And choose the best branch for the birdPaint green leaves. Freshness of the wind and dust of the sun,Paint the noise of animals in the grassIn the heat of summerAnd wait for the bird to singIf the bird does not sing This is a bad omenIt means that your picture is of no use,But if she sings This is a good sign,A symbol that you can beProud of and sign,So you very gentlyPull out one of the feathers of the birdAnd you write your nameIn a corner of the picture.

This is a unique type of book; at least, I have never encountered a book of this kind. Ifthis summary description does not help understanding the particular character andallure of the book, possibly a more detailed explanation will be found useful. One of the primary goals of the author is to interest readersin particular, youngmathematicians or possibly pre-mathematiciansin the fascinating world of elegantand easily understandable problems, for which no particular mathematical knowl-edge is necessary, but which are very far from being easily solved.

In fact, theprototype of such problems is the following: If each point of the plane is to begiven a color, how many colors do we need if every two points at unit distanceare to receive distinct colors? More than half a century ago it was established thatthe least number of colors needed 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 peoplemany of whomdeveloped whole branches of mathematics and solved problems that seemed muchhardernot a single advance towards the answer has been made. This mystery, andscores of other similarly simple questions, form one level of mysteries explored. Indoing this, the author presents a whole lot of attractive results in an engaging way,and with increasing level of depth.

The quest for precision in the statement of the problems and the results and theirproofs leads the author to challenge much of the prevailing historical knowledge. Going to the original publications, and drawing in many cases on witnesses andon archival and otherwise unpublished sources, Soifer uncovers many mysteries. Inmost cases, dogged perseverance enables him to discover the truth.

All this is pre-sented as following in a natural development from the mathematics to the history ofthe problem or result, and from there to the interest in the people who produced themathematics. For many of the persons involved this results in information not avail-able from any other source; in lots of the cases, the available publications present aninaccurate or at least incomplete data. The author is very careful in documentinghis claims by specific references, by citing correspondence between the principalsinvolved, and by accounts by witnesses.

One of these developments leads Soifer to examine in great detail the life andactions of one of the great mathematicians of the twentieth century, Bartel Leendert. Although Dutch, van der Waerden spent the years from to in the Nazi Germany. This, and some of van der Waerdens activities duringthat time, became very controversial after Word War II, and led Soifer to exam-ine the moral and ethical questions relevant to the life of a scientist in a criminaldictatorship.

The diligence with which Soifer pursues his quests for information is way beyondexemplary. He reports exchanges with I am sure hundreds of people, via mail,phone, email, visits all dated and documented. The educational aspects that beginwith matters any middle-school student can understand, develop gradually into areasof most recent research, involving not only combinatorics but also algebra, topology,questions of foundations of mathematics, and more. I found it hard to stop reading before I finished in two days the whole text.

Soifer engages the readers attention not only mathematically, but emotionally andesthetically. May you enjoy the book as much as I did! Alexander Soifers latest book is a fully fledged adult specimen of a new species,a work of literature in which fascinating elementary problems and developmentsconcerning colorings in arithmetic or geometric settings are fluently presented andinterwoven with a detailed and scholarly history of these problems and develop-ments. This history, mostly from the twentieth century, is part memoir, for ProfessorSoifer was personally acquainted with some of the principals of the story the greatPaul Erdos, for instance , became acquainted with others over the 18 year inter-val during which the book was written Dima Raiskii, for instance, whose story isparticularly poignant , and created himself some of the mathematics of which hewrites.

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Anecdotes, personal communications, and biography make for a good read, andthe readability in Mathematical Coloring Book is not confined to the accountsof events that transpired during the authors lifetime.