|
|
|
|
LEADER |
00000nam a22000005i 4500 |
001 |
978-0-387-74642-5 |
003 |
DE-He213 |
005 |
20220113132757.0 |
007 |
cr nn 008mamaa |
008 |
100301s2009 xxu| s |||| 0|eng d |
020 |
|
|
|a 9780387746425
|9 978-0-387-74642-5
|
024 |
7 |
|
|a 10.1007/978-0-387-74642-5
|2 doi
|
050 |
|
4 |
|a QA297.4
|
072 |
|
7 |
|a PBD
|2 bicssc
|
072 |
|
7 |
|a MAT036000
|2 bisacsh
|
072 |
|
7 |
|a PBD
|2 thema
|
082 |
0 |
4 |
|a 511.1
|2 23
|
100 |
1 |
|
|a Soifer, Alexander.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
245 |
1 |
4 |
|a The Mathematical Coloring Book
|h [electronic resource] :
|b Mathematics of Coloring and the Colorful Life of its Creators /
|c by Alexander Soifer.
|
250 |
|
|
|a 1st ed. 2009.
|
264 |
|
1 |
|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2009.
|
300 |
|
|
|a XXX, 607 p.
|b online resource.
|
336 |
|
|
|a text
|b txt
|2 rdacontent
|
337 |
|
|
|a computer
|b c
|2 rdamedia
|
338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
347 |
|
|
|a text file
|b PDF
|2 rda
|
505 |
0 |
|
|a 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.
|
520 |
|
|
|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! -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 |
|a Discrete mathematics.
|
650 |
|
0 |
|a Mathematics.
|
650 |
|
0 |
|a History.
|
650 |
|
0 |
|a Mathematical logic.
|
650 |
1 |
4 |
|a Discrete Mathematics.
|
650 |
2 |
4 |
|a History of Mathematical Sciences.
|
650 |
2 |
4 |
|a Mathematical Logic and Foundations.
|
710 |
2 |
|
|a SpringerLink (Online service)
|
773 |
0 |
|
|t Springer Nature eBook
|
776 |
0 |
8 |
|i Printed edition:
|z 9780387566962
|
776 |
0 |
8 |
|i Printed edition:
|z 9780387746401
|
776 |
0 |
8 |
|i Printed edition:
|z 9781489996268
|
856 |
4 |
0 |
|u https://doi.uam.elogim.com/10.1007/978-0-387-74642-5
|z Texto Completo
|
912 |
|
|
|a ZDB-2-SMA
|
912 |
|
|
|a ZDB-2-SXMS
|
950 |
|
|
|a Mathematics and Statistics (SpringerNature-11649)
|
950 |
|
|
|a Mathematics and Statistics (R0) (SpringerNature-43713)
|