The Mathematics of Coloring and the Colorful Life of its Creators Soifer, Alexander. creator author. SpringerLink (Online service) text xxu 2009 monographic eng

electronic

recurso electrónico

access online resource. 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 Merry-Go-Round -- A Story of Colored Polygons and Arithmetic Progressions -- Colored Plane -- Chromatic Number of the Plane: The Problem -- Chromatic Number of the Plane: An Historical Essay -- Polychromatic Number of the Plane and Results Near the Lower Bound -- De Bruijn-Erd?s Reduction to Finite Sets and Results Near the Lower Bound -- Polychromatic Number of the Plane and Results Near the Upper Bound -- Continuum of 6-Colorings of the Plane -- 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's 7-Color Theorem -- Coloring Maps -- How the Four-Color Conjecture Was Born -- Victorian Comedy of Errors and Colorful Progress -- Kempe-Heawood's Five-Color Theorem and Tait's Equivalence -- The Four-Color Theorem -- The Great Debate -- How Does One Color Infinite Maps? A Bagatelle -- Chromatic Number of the Plane Meets Map Coloring: Townsend-Woodall's 5-Color Theorem -- Colored Graphs -- Paul Erd?s -- De Bruijn-Erd?s'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 and Its AfterMath -- Ramsey Theory Before Ramsey: Hilbert's Theorem -- Ramsey Theory Before Ramsey: Schur's Coloring Solution of a Colored Problem and 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 Early Years -- In Search of Van der Waerden: The Nazi Leipzig, 1933-1945 -- In Search of Van der Waerden: The Postwar Amsterdam, 1945166 -- 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's Theorem -- Colored Integers in Service of Chromatic Number of the Plane: How O'Donnell Unified Ramsey Theory and No One Noticed -- Application of Baudet-Schur-Van der Waerden -- Application of Bergelson-Leibman's and Mordell-Faltings' Theorems -- Solution of an Erd?s Problem: O'Donnell'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 Problems. by Alexander Soifer. MATHEMATICS COMBINATORICS MATHEMATICS_{DOLLAR}XHISTORY LOGIC, SYMBOLIC AND MATHEMATICAL MATHEMATICS COMBINATORICS HISTORY OF MATHEMATICS MATHEMATICAL LOGIC AND FOUNDATIONS 511.6 9780387746425 99780387746425 http://dx.doi.org/10.1007/978-0-387-74642-5 http://dx.doi.org/10.1007/978-0-387-74642-5 100301 20260521091949.0 978-0-387-74642-5