| 000 | 06139nam a22004335i 4500 | ||
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| 001 | 978-0-387-74642-5 | ||
| 003 | DE-He213 | ||
| 005 | 20250710084020.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387746425 _a99780387746425 |
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| 024 | 7 |
_a10.1007/978-0-387-74642-5 _2doi |
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| 082 | 0 | 4 |
_a511.6 _223 |
| 100 | 1 |
_aSoifer, Alexander. _eauthor. |
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| 245 | 1 | 4 |
_aThe Mathematical Coloring Book _h[recurso electrónico] : _bMathematics of Coloring and the Colorful Life of its Creators / _cby Alexander Soifer. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2009. |
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| 300 | _bonline resource. | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_arecurso en línea _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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| 505 | 0 | _aMerry-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. | |
| 520 | _aI 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 | ||
| 650 | 0 | _aMATHEMATICS. | |
| 650 | 0 | _aCOMBINATORICS. | |
| 650 | 0 | _aMATHEMATICS_{DOLLAR}XHISTORY. | |
| 650 | 0 | _aLOGIC, SYMBOLIC AND MATHEMATICAL. | |
| 650 | 1 | 4 | _aMATHEMATICS. |
| 650 | 2 | 4 | _aCOMBINATORICS. |
| 650 | 2 | 4 | _aHISTORY OF MATHEMATICS. |
| 650 | 2 | 4 | _aMATHEMATICAL LOGIC AND FOUNDATIONS. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387746401 |
| 856 | 4 | 0 |
_uhttp://dx.doi.org/10.1007/978-0-387-74642-5 _zVer el texto completo en las instalaciones del CICY |
| 912 | _aZDB-2-SMA | ||
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