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130802s2013 xxu| s |||| 0|eng d |
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|a 9781461472582
|9 978-1-4614-7258-2
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|a 10.1007/978-1-4614-7258-2
|2 doi
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|a Graham, Ronald L.
|e editor.
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|a The Mathematics of Paul ErdQs I
|c edited by Ronald L. Graham, Jaroslav NeaetYil, Steve Butler.
|h [electronic resource] /
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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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|a XIX, 563 p. 44 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
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|a text file
|b PDF
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|a VOLUME I -- Paul ErdQs <U+0014> Life and Work -- Paul ErdQs Magic -- Part I Early Days.- Introduction -- Some of My Favorite Problems and Results -- 3 Encounters with Paul ErdQs -- 4 Did ErdQs Save Western Civilization? -- Integers Uniquely Represented by Certain Ternary Forms -- Did ErdQs Save Western Civilization? -- Encounters with Paul ErdQs -- On Cubic Graphs of Girth at Least Five -- Part II Number Theory -- Introduction -- Cross-disjoint Pairs of Clouds in the Interval Lattice -- Classical Results on Primitive and Recent Results on Cross-Primitive Sequences -- Dense Difference Sets and their Combinatorial Structure -- Integer Sets Containing No Solution to x+y=3z -- On Primes Recognizable in Deterministic Polynomial Time -- Ballot Numbers, Alternating Products, and the ErdQs-Heilbronn Conjecture -- On Landau's Function g(n) -- On Divisibility Properties on Sequences of Integers -- On Additive Representation Functions -- Arithmetical Properties of Polynomials -- Some Methods of ErdQs Applied to Finite Arithmetic Progressions -- Sur La Non-Dřivabilit ̌de Fonctions Přiodiques Associěs ̉Certaines Formules Sommatoires -- 1105: First Steps in a Mysterious Quest -- Part III Randomness and Applications -- Introduction -- Games, Randomness, and Algorithms -- The Origins of the Theory of Random Graphs -- An Upper bound for a Communication Game Related to Time-space Tradeoffs -- How Abelian is a Finite Group? -- One Small Size Approximation Models -- The ErdQs Existence Argument -- Part IV Geometry -- Introduction -- Extension of Functional Equations -- Remarks on Penrose Tilings -- Distances in Convex Polygons -- Unexpected Applications of Polynomials in Combinatorics -- The Number of Homothetic Subsets -- On Lipschitz Mappings Onto a Square -- A Remark on Transversal Numbers -- In Praise of the Gram Matrix -- On Mutually Avoiding Sets -- Bibliography.
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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, more biographical information about Paul ErdQs, and an updated list of publications. The first volume contains the unique chapter "Early Days", which features personal memories of Paul ErdQs by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of ErdQs' favorite geometry problems.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Discrete groups.
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| 650 |
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|a Number theory.
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| 650 |
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|a Distribution (Probability theory).
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| 650 |
1 |
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|a Mathematics.
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| 650 |
2 |
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|a Mathematics, general.
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| 650 |
2 |
4 |
|a Number Theory.
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| 650 |
2 |
4 |
|a Convex and Discrete Geometry.
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| 650 |
2 |
4 |
|a Probability Theory and Stochastic Processes.
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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 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9781461472575
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7258-2
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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)
|