The Mathematical Coloring Book

Mathematics of Coloring and the Colorful Life of its Creators

Authors: Soifer, Alexander

  • Due to the author's correspondence with Van der Waerden, Erdös, Baudet, members of the Schur Circle, and others, and due to voluminous archival materials uncovered by the author over 18 years of his work on the book, this book contains material that has never before been published
  • Historians of mathematics will find much new information, along with old errors corrected and published here for the first time in book form
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Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-0-387-74642-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-387-74640-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4899-9626-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

I have never encountered a book of this kind.  The best description of it I can give is that it is a mystery novel… I found it hard to stop reading before I finished (in two days) the whole text. Soifer engages the reader's attention not only mathematically, but emotionally and esthetically.  May you enjoy the book as much as I did!

–Branko Grünbaum

University of Washington

You are doing great service to the community by taking care of the past, so the things are better understood in the future.

–Stanislaw P. Radziszowski, Rochester Institute of Technology

 They [Van der Waerden’s sections] meet the highest standards of historical scholarship.

–Charles C. Gillispie, Princeton University

You have dug up a great deal of information – my compliments!

–Dirk van Dalen, Utrecht University

I have just finished reading your (second) article "in search of van der Waerden". It is a masterpiece, I could not stop reading it... Congratulations!

–Janos Pach, Courant Institute of Mathematics

"Mathematical Coloring Book" will (we can hope) have a great and salutary influence on all writing on mathematics in the future.“ 

–Peter D. Johnson Jr., Auburn University

 

Just now a postman came to the door with a copy of the masterpiece of the century. I thank you and the mathematics community should thank you for years to come. You have set a standard for writing about mathematics and mathematicians that will be hard to match.

 

–Harold W. Kuhn, Princeton University

 

The beautiful and unique Mathematical coloring book of Alexander Soifer is another case of ``good mathematics''… and presenting mathematics as both a science and an art… It is difficult to explain how much beautiful and good mathematics is included and how much wisdom about life is given.

–Peter Mihók, Mathematical Reviews

About the authors

Alexander Soifer is a Russian born and educated American mathematician, a professor of mathematics at the University of Colorado, an author of some 200 articles on mathematics, history of mathematics, mathematics education, film reviews, etc. He is Senior Vice President of the World Federation of National Mathematics Competitions, which in 2006 awarded him The Paul Erdös Award. 26 years ago Soifer founded has since chaired The Colorado Mathematical Olympiad, and served on both USSR and USA Mathematical Olympiads committees. Soifer’s Erdös number is 1.

 

Springer has contracted his 7 books. "The Mathematical Coloring Book" is coming out in October 2008; 4 books will appear in 2009; followed by "Life and Fate: In Search of Van der Waerden", and a joint book with the late Paul Erdos “Problems of p.g.o.m. Erdos."

 

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?:

 

"Why am I urging you to read this? 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 8.1.2. Prove that for any parallelogram P, S(P)=5. 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?"

 

And from an introduction by Cecil Rousseau:

 

‘There is a view, held by many, that mathematics books are dull. 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. "How does one cut a triangle?" is an entirely different matter. 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.’

 

And this isn't just publishers going over the top - it's all true!"

 

-- JOHN Baylis in The Mathematical Gazette

 

Soifer's work can rightly be called a "mathematical gem."

 
-- JAMES N. BOYD in Mathematics Teacher

 

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.


-- PAUL ERDÖS



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.


-- L. M. KELLY in Mathematical Reviews

 

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.

 
V. G. BOLTYANSKI in SIAM Review


 

 

 

 

 

Reviews

From the reviews:

"It contains a range of combinatorial colouring problems, while those interested in the recent history or the sociology of mathematics will be entertained by lively accounts of the combinatorialists who created and worked on them. … The book is generally well written and presented, with good diagrams and layout … . a useful and engaging book." (Robin Wilson, LMS Newsletter, November, 2009)

“This book contains much math of interest and pointers to more math of interest. … This is a Fantastic Book!. … The upward closure of the union of the following people: (1) an excellent high school student, (2) a very good college math major, (3) a good grad student in math or math-related field, (4) a fair PhD in combinatories, or (5) a bad math professor. … Anyone who is interested in math or history of math. This book has plenty of both.” (William Gasarch, SIGACT News, Vol. 40 (3), 2010)

“Soifer does a fine job in collating a huge range of sources … with many interesting nuggets and, where necessary, a real determination to set the historical record straight in terms of the appellation of conjectures and theorems. … The mathematical colouring book is attractively produced and very readable. … book is likely to be of primary interest to those seeking a historically aware, up-to-date introductory survey of an engaging, and still emerging, field of combinatorial mathematics.” (Nick Lord, The Mathematical Gazette, Vol. 95 (532), March, 2011)

“This very nicely presented book, lovingly prepared by the author over a period of 18 years, studies problems involving colored objects, and the Ramsey theory that such problems are imbedded into. … recommend this book, both for mathematicians and for those who wish to learn more about mathematicians and their subject.” (Arthur T. White, Zentralblatt MATH, Vol. 1221, 2011)


Table of contents (49 chapters)

  • A Story of Colored Polygons and Arithmetic Progressions

    Soifer, Alexander

    Pages 3-9

  • Chromatic Number of the Plane: The Problem

    Soifer, Alexander

    Pages 13-20

  • Chromatic Number of the Plane: An Historical Essay

    Soifer, Alexander

    Pages 21-31

  • Polychromatic Number of the Plane and Results Near the Lower Bound

    Soifer, Alexander

    Pages 32-38

  • De Bruijn–Erdős Reduction to Finite Sets and Results Near the Lower Bound

    Soifer, Alexander

    Pages 39-42

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-0-387-74642-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-387-74640-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4899-9626-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematical Coloring Book
Book Subtitle
Mathematics of Coloring and the Colorful Life of its Creators
Authors
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-74642-5
DOI
10.1007/978-0-387-74642-5
Hardcover ISBN
978-0-387-74640-1
Softcover ISBN
978-1-4899-9626-8
Edition Number
1
Number of Pages
XXX, 607
Topics