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

This book is dedicated to problems involving colored objects, and to results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. In mathematics, these results comprise the beautiful area known as Ramsey Theory. Wolfram’s Math World defines Ramsey Theory as ‘the mathematical study of combinatorial objects in which a certain degree of order must occur as the scale of the object becomes large’. Ramsey Theory thus includes parts of many fields of mathematics, including combinatorics, geometry, and number theory. This book addresses famous and excitingproblems of Ramsey Theory, along with the history surrounding the discovery of Ramsey Theory. In addition, the author studies the life of Issai Schur, Pierre Joseph Henry Baudet and B.L. van der Waerden. In researching this book overthe past 18 years, the author corresponded extensively with B.L. van der Waerden, Paul Erdos, Henry Baudet, and many others. Will contain material that hasnever been published before Numerous historic photos Author is a lively storyteller INDICE: Epigraph.- Foreword by Branko Grunbaum.- Foreword by Peter Johnson, Jr.- Foreword by Cecil Rousseau.- Greetings to the reader.- Merry-go-round.-Colored plane: chromatic number of the plane.- Coloring graphs.- Coloring maps.- Colored graphs.- The Ramsey principle.- Colored integers.- Colored polygons.- Colored integers in service of chromatic number of the plane.- Predicting the future.- Farewell to the reader.- Bibliography.- Index of names.- Index ofterms.- Index of notations.

• ISBN: 978-0-387-74640-1
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 600
• Fecha Publicación: 01/11/2008
• Nº Volúmenes: 1
• Idioma: Inglés