The mathematics of Paul Erdős I /
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Corporate Authors: | |
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Group Author: | ; ; |
Published: |
Springer,
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Publisher Address: | New York, NY : |
Publication Dates: | 2013. |
Literature type: | eBook |
Language: | English |
Edition: | Second edition. |
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-1-4614-7258-2 |
Carrier Form: | 1 online resource (xix, 563 pages) : illustrations |
Bibliography: | Includes bibliographical references. |
ISBN: |
9781461472582 (electronic bk.) 146147258X (electronic bk.) |
Index Number: | QA39 |
CLC: | O1 |
Contents: |
Paul Erdős: Life and Work / Erdős Magic / Early Days. Some of My Favorite Problems and Results / Integers Uniquely Represented by Certain Ternary Forms / Did Erdős Save Western Civilization? / Encounters with Paul Erdős / On Cubic Graphs of Girth at Least Five / Number Theory. 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 Erdős-Heilbronn Conjecture / On Landau's Function g(n) / On Divisibility Properties of Sequences of Integers / On Additive Representative Functions / Arithmetical Properties of Polynomials / Some Methods of Erdős Applied to Finite Arithmetic Progressions / Sur la non-dérivabilité de fonctions périodiques associées à certaines formules sommatoires / 1105: First Steps in a Mysterious Quest / Randomness and Applications. Games, Randomness and Algorithms / On Some Hypergraph Problems of Paul Erdős and the Asymptotics of Matchings, Covers and Colorings / 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? / On Small Size Approximation Models / The Erdős Existence Argument / Geometry. 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 / |