The mathematics of Paul Erdős. II

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response...

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Weitere Verfasser: Graham, Ronald Lewis, 1935-2020 (Verlagsleitung), Nešetřil, Jaroslav, 1946-...., Mathématicien (Verlagsleitung), Butler, Steve, 1977- (Verlagsleitung)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: New York, NY : Springer New York [20..].
Cham : Springer Nature
Ausgabe:2nd ed. 2013.
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Anmerkung: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• The Mathematics of Paul Erdös, II, Ronald L. Graham, Jaroslav Nešetřil (Eds.), 1997, Berlin[etc.], Springer-Verlag, 1 vol. (XVI-577 p.), Algorithms and Combinatorics, 3-540-61031-6
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245 0 0 |a The mathematics of Paul Erdős.  |n II   |c edited by Ronald L. Graham, Jaroslav Nešetřil, Steve Butler. 
250 |a 2nd ed. 2013. 
260 |a New York, NY :  |b Springer New York. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 1 |a VOLUME II Part I Combinatorics and Graph Theory Introduction Reconstruction Problems for Digraphs Neighborly Families of Boxes and Bipartite Coverings On the Isolation of a Common Secret Properties of Graded Posets Preserved by Some Operations The Dimension of Random Graph Orders Hereditary and Monotone Properties of Graphs Cycles and Paths in Triangle-Free Graphs Problems in Graph Theory from Memphis Some Remarks on the Cycle Plus Triangles Problem Intersection Representations of the Complete Bipartite Graph Reflections on a Problem of Erdős and Hajnal The Chromatic Number of the Two-Packing of a Forest Part II Ramsey and Extremal Theory Introduction Ramsey Theory in the Work of Paul Erdős Memories on Shadows and Shadows of Memories A Bound of the Cardinality of Families Not Containing -Systems Flag Algebras: An Interim Report Arrangeability and Clique Subdivisions A Finite Partition Theorem with Double Exponential Bound Paul Erdős' Influence on Extremal Graph Theory Applications of the Probabilistic Method to Partially Ordered Sets Part III Infinity Introduction A Few Remarks on a Conjecture of Erdős on the Infinite Version of Menger's Theorem The Random Graph Paul Erdős' Set Theory Set Theory: Geometric and Real On Order-Perfect Lattices The PCF Theorem Revisited Paul Erdős: The Master of Collaboration List of Publications of Paul Erdős Postscript 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdős with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdős' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems 
700 1 |a Graham, Ronald Lewis,  |d 1935-2020.  |4 pbd 
700 1 |a Nešetřil, Jaroslav,  |d 1946-....,  |c Mathématicien.  |4 pbd 
700 1 |a Butler, Steve,  |d 1977-  |4 pbd 
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