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The Resource The mathematical coloring book : mathematics of coloring and the colorful life of its creators, Alexander Soifer

The mathematical coloring book : mathematics of coloring and the colorful life of its creators, Alexander Soifer

Work
Publication
Extent
xxx, 605 pages
Contents
  • Part I - Merry-go-round -- Part II - Colored plane -- Part III - Coloring graphs -- Part IV - Coloring maps -- Part V - Colored graphs -- Part VI - The Ramsey principle -- Part VII - Colored integers: Ramsey theory before Ramsey and its aftermath -- Part VIII - Colored polygons: Euclidean Ramsey theory -- Part IX - Colored integers in service of chromatic number of the plane -- Part X - Predicting the future -- Part XI - Farewell to the reader
  • A story of colored polygons and arithmetic progressions -- 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-Erdős 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 -- 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 -- 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 -- Paul Erdős -- De Bruijn-Erdős's theorem and its history -- Edge colored graphs : Ramsey and Folkman numbers -- From pigeonhole principle to Ramsey principle -- The happy end problem -- The man behind the theory : Frank Plumpton Ramsey -- 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, 1945 -- In search of Van der Waerden : the unsettling years, 1946-1951 -- Monochromatic polygons in a 2-colored plane -- 3-colored plane, 2-colored space, and Ramsey sets -- Gallai's theorem -- Application of Baudet-Schur-Van der Waerden -- Application of Bergelson-Leibman's and Mordell-Faltings' theorems -- Solution of an Erdős problem : O'Donnell's theorem -- 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 -- Two celebrated problems
Isbn
9780387746401
Instance
Label
The mathematical coloring book : mathematics of coloring and the colorful life of its creators
Title
The mathematical coloring book
Title remainder
mathematics of coloring and the colorful life of its creators
Statement of responsibility
Alexander Soifer
Creator
Subject
Language
eng
Cataloging source
UKM
http://library.link/vocab/creatorName
Soifer, Alexander
Dewey number
511.5
Illustrations
illustrations
Index
index present
LC call number
QA166
LC item number
.S65 2009
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
Ramsey theory
Label
The mathematical coloring book : mathematics of coloring and the colorful life of its creators, Alexander Soifer
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 569-594) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Part I - Merry-go-round -- Part II - Colored plane -- Part III - Coloring graphs -- Part IV - Coloring maps -- Part V - Colored graphs -- Part VI - The Ramsey principle -- Part VII - Colored integers: Ramsey theory before Ramsey and its aftermath -- Part VIII - Colored polygons: Euclidean Ramsey theory -- Part IX - Colored integers in service of chromatic number of the plane -- Part X - Predicting the future -- Part XI - Farewell to the reader
  • A story of colored polygons and arithmetic progressions -- 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-Erdős 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 -- 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 -- 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 -- Paul Erdős -- De Bruijn-Erdős's theorem and its history -- Edge colored graphs : Ramsey and Folkman numbers -- From pigeonhole principle to Ramsey principle -- The happy end problem -- The man behind the theory : Frank Plumpton Ramsey -- 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, 1945 -- In search of Van der Waerden : the unsettling years, 1946-1951 -- Monochromatic polygons in a 2-colored plane -- 3-colored plane, 2-colored space, and Ramsey sets -- Gallai's theorem -- Application of Baudet-Schur-Van der Waerden -- Application of Bergelson-Leibman's and Mordell-Faltings' theorems -- Solution of an Erdős problem : O'Donnell's theorem -- 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 -- Two celebrated problems
Control code
233933503
Dimensions
24 cm
Extent
xxx, 605 pages
Isbn
9780387746401
Isbn Type
(hbk.)
Lccn
2008936132
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)233933503
Label
The mathematical coloring book : mathematics of coloring and the colorful life of its creators, Alexander Soifer
Publication
Bibliography note
Includes bibliographical references (pages 569-594) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Part I - Merry-go-round -- Part II - Colored plane -- Part III - Coloring graphs -- Part IV - Coloring maps -- Part V - Colored graphs -- Part VI - The Ramsey principle -- Part VII - Colored integers: Ramsey theory before Ramsey and its aftermath -- Part VIII - Colored polygons: Euclidean Ramsey theory -- Part IX - Colored integers in service of chromatic number of the plane -- Part X - Predicting the future -- Part XI - Farewell to the reader
  • A story of colored polygons and arithmetic progressions -- 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-Erdős 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 -- 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 -- 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 -- Paul Erdős -- De Bruijn-Erdős's theorem and its history -- Edge colored graphs : Ramsey and Folkman numbers -- From pigeonhole principle to Ramsey principle -- The happy end problem -- The man behind the theory : Frank Plumpton Ramsey -- 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, 1945 -- In search of Van der Waerden : the unsettling years, 1946-1951 -- Monochromatic polygons in a 2-colored plane -- 3-colored plane, 2-colored space, and Ramsey sets -- Gallai's theorem -- Application of Baudet-Schur-Van der Waerden -- Application of Bergelson-Leibman's and Mordell-Faltings' theorems -- Solution of an Erdős problem : O'Donnell's theorem -- 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 -- Two celebrated problems
Control code
233933503
Dimensions
24 cm
Extent
xxx, 605 pages
Isbn
9780387746401
Isbn Type
(hbk.)
Lccn
2008936132
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)233933503

Subject

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537

Library Links

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