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008			130802s2013 xxu| s |||| 0|eng d
020			_a9781461472544 _9978-1-4614-7254-4
024	7		_a10.1007/978-1-4614-7254-4 _2doi
050		4	_aQA1-939
072		7	_aPB _2bicssc
072		7	_aMAT000000 _2bisacsh
082	0	4	_a510 _223
245	1	4	_aThe Mathematics of Paul Erdős II _h[electronic resource] / _cedited by Ronald L. Graham, Jaroslav Nešetřil, Steve Butler.
250			_a2nd ed. 2013.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXIX, 607 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aVOLUME 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 Δ-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.
520			_aThis 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.
650		0	_aMathematics.
650		0	_aMathematical logic.
650		0	_aCombinatorics.
650		0	_aGraph theory.
650	1	4	_aMathematics.
650	2	4	_aMathematics, general.
650	2	4	_aCombinatorics.
650	2	4	_aGraph Theory.
650	2	4	_aMathematical Logic and Foundations.
700	1		_aGraham, Ronald L. _eeditor.
700	1		_aNešetřil, Jaroslav. _eeditor.
700	1		_aButler, Steve. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461472537
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-7254-4
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c44844 _d44844