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|a 9780387746425
|9 978-0-387-74642-5
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|a 10.1007/978-0-387-74642-5
|2 doi
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|a QA164-167.2
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|a MAT036000
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|a 511.6
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|a Soifer, Alexander.
|e author.
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|a The Mathematical Coloring Book
|b Mathematics of Coloring and the Colorful Life of its Creators /
|c by Alexander Soifer.
|h [electronic resource] :
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|a New York, NY :
|b Springer New York,
|c 2009.
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|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Epigraph: To Paint a Bird by Jacques Prv̌ert -- Foreword by Branko Gr<U+00fc>nbaum -- Foreword by Peter D. Johnson Jr -- Foreword by Cecil Rousseau -- Greetings to the Reader -- Merry-Go-Round -- A Story of Colored Polygons and Arithmetic Progressions -- Colored Plane: Chromatic Number of the Plane -- Chromatic Number of the Plane: The Problem -- Chromatic Number of the Plane: An Historical Essay -- Polychromatic Number of the Plane & Results near the Lower Bound -- De Bruijn-Erdos Reduction to Finite Sets & Results near the Lower Bound -- Polychromatic Number of the Plane & Results near the Upper Bound -- Continuum of 6-Colorings -- Chromatic Number of the Plane in Special Circumstances -- Measurable Chromatic Number of the Plane -- Coloring in Space -- Rational Coloring -- Coloring Graphs -- Chromatic Number of a Graph -- Dimension of a Graph -- Embedding 4-Chromatic Graphs in the Plane -- Embedding World Records -- Edge Chromatic Number of a Graph -- Carsten Thomassen<U+0019>s 7-Color Theorem -- Coloring Maps -- How The Four Color Conjecture Was Born -- Victorian Comedy of Errors & Colorful Progress -- Kempe-Heawood<U+0019>s 5-Color Theorem & Tait<U+0019>s Equivalence -- The 4-Color Theorem -- The Great Debate -- How does one Color Infinite Maps? A Bagatelle -- Chromatic Number of the Plane Meets Map Coloring: Townsend-Woodall<U+0019>s 5-Color Theorem -- Colored Graphs -- Paul Erdos -- Proof of De Bruijn-Erdos<U+0019>s Theorem and Its History -- Edge Colored Graphs: Ramsey and Folkman Numbers -- The Ramsey Principle -- From Pigeonhole Principle to Ramsey Principle -- The Happy End Problem -- The Man behind the Theory: Frank Plumpton Ramsey -- Colored Integers: Ramsey Theory before Ramsey & Its AfterMath -- Ramsey Theory before Ramsey: Hilbert<U+0019>s 1892 Theorem -- Theory before Ramsey: Schur<U+0019>s Coloring Solution of a Colored Problem & Its Generalizations -- Ramsey Theory before Ramsey: Van der Waerden Tells the Story of Creation -- Whose Conjecture Did Van der Waerden Prove? Two Lives between Two Wars: Issai Schur and Pierre Joseph Henry Baudet -- Monochromatic Arithmetic Progressions: Life after Van der Waerden -- In search of Van der Waerden: The Nazi Leipzig, 1933-1945 -- In search of Van der Waerden: The Post War Amsterdam, 1945 -- In search of Van der Waerden: The Unsettling Years, 1946-1951 -- Colored Polygons: Euclidean Ramsey Theory -- Monochromatic Polygons in a 2-Colored Plane -- 3-Colored Plane, 2-Colored Space and Ramsey Sets -- Gallai<U+0019>s Theorem -- Colored Integers in Service of Chromtic Number of the Plane: How O<U+0019>Donnell Unified Ramsey Theory and No One Noticed -- Application of Baudet-Schur-Van der Waerden<U+0019>s Theorem -- Applications of Bergelson-Leibman<U+0019>s and Mordell-Faltings<U+0019> Theorems -- Solution of an Erdos Problem: O<U+0019>Donnell<U+0019>s Theorem -- Predicting the Future -- What if we had no Choice? -- A Glimpse into the Future: Chromatic Number of the Plane, Theorems and Conjectures -- Imagining the Real, Realizing the Imaginary -- Farewell to the Reader -- Two Celebrated Coloring Problems on the Plane -- Bibliography -- Index of Names -- Index of Terms -- Index of Notations -- .
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|a 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! <U+0013>Branko Gr<U+00fc>nbaum 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. <U+0013>Stanislaw P. Radziszowski, Rochester Institute of Technology They [Van der Waerden<U+0019>s sections] meet the highest standards of historical scholarship. <U+0013>Charles C. Gillispie, Princeton University You have dug up a great deal of information <U+0013> my compliments! <U+0013>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! <U+0013>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.<U+001c> <U+0013>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. <U+0013>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. <U+0013>Peter Mihk̤, Mathematical Reviews
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|a Mathematics.
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| 650 |
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|a Combinatorics.
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| 650 |
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|a Mathematics_$xHistory.
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|a Logic, Symbolic and mathematical.
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| 650 |
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|a Mathematics.
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| 650 |
2 |
4 |
|a Combinatorics.
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| 650 |
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|a History of Mathematics.
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| 650 |
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|a Mathematical Logic and Foundations.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9780387746401
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-74642-5
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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