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130802s2013 xxu| s |||| 0|eng d |
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|a 9781461472544
|9 978-1-4614-7254-4
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|a 10.1007/978-1-4614-7254-4
|2 doi
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|a QA1-939
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|a MAT000000
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|a 510
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|a Graham, Ronald L.
|e editor.
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|a The Mathematics of Paul ErdQs II
|c edited by Ronald L. Graham, Jaroslav NeaetYil, Steve Butler.
|h [electronic resource] /
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| 250 |
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|a 2nd ed. 2013.
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2013.
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| 300 |
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|a XIX, 607 p. 66 illus., 2 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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|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 ErdQs 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 ErdQs -- Memories on Shadows and Shadows of Memories -- A Bound of the Cardinality of Families Not Containing <U+0094>-Systems -- Flag Algebras: An Interim Report -- Arrangeability and Clique Subdivisions -- A Finite Partition Theorem with Double Exponential Bound -- Paul ErdQs' 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 ErdQs on the Infinite Version of Menger's Theorem -- The Random Graph -- Paul ErdQs' Set Theory -- Set Theory: Geometric and Real -- On Order-Perfect Lattices -- The PCF Theorem Revisited -- Paul ErdQs: The Master of Collaboration -- List of Publications of Paul ErdQs -- Postscript.
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| 520 |
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|a This is the most comprehensive survey of the mathematical life of the legendary Paul ErdQs (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of ErdQs' 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 ErdQs' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to ErdQs complement this striking collection. A unique contribution is the bibliography on ErdQs' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul ErdQs' 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 ErdQs 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 ErdQs' 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.
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| 650 |
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|a Mathematics.
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| 650 |
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0 |
|a Combinatorics.
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| 650 |
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|a Logic, Symbolic and mathematical.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Mathematics, general.
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| 650 |
2 |
4 |
|a Combinatorics.
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| 650 |
2 |
4 |
|a Graph Theory.
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| 650 |
2 |
4 |
|a Mathematical Logic and Foundations.
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| 700 |
1 |
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|a NeaetYil, Jaroslav.
|e editor.
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| 700 |
1 |
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|a Butler, Steve.
|e editor.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9781461472537
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| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7254-4
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| 912 |
# |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|