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Title The mathematics of Paul Erdős. I [electronic resource].
Published New York : Springer, [2013]
Book Cover

 Electronic Book  QA3 .M423 2013eb    ONLINE
Edition Second edition / editors, Ronald L. Graham, Jaroslav Nešetřil, Steve Butler.
Description 1 online resource (xix, 563 pages)
Content Type text
Format online resource
Note Print version cataloged as a continuing resource by Library of Congress.
Bibliography Includes bibliographical references and index.
Contents Paul Erdős Life and Work -- Paul Erdős Magic -- Part I Early Days.- Introduction -- Some of My Favorite Problems and Results -- 3 Encounters with Paul Erdős -- 4 Did Erdős Save Western Civilization? -- Integers Uniquely Represented by Certain Ternary Forms -- Did Erdős Save Western Civilization? -- Encounters with Paul Erdős -- 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 Erdős-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 Erdős Applied to Finite Arithmetic Progressions -- Sur La Non-D rivabilit de Fonctions P riodiques Associ es 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 Erdős 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.
Note Description based on online resource; title from PDF title page (SpringerLink, viewed August 20, 2013).
Subject Mathematics.
Erdős, Paul, 1913-1996.
Related Names Graham, Ronald L., 1935- editor of compilation.
Nešetřil, Jaroslav, editor of compilation.
Butler, Steve, editor of compilation.
Erdős, Paul, 1913-1996, honouree.
Alternate Title The mathematics of Paul Erdős. 1
ISBN 9781461472582 (electronic bk.)
146147258X (electronic bk.)
Standard # 10.1007/978-1-4614-7258-2 doi