The Mathematics of Paul Erdős I

The Mathematics of Paul Erdős I edited by Ronald L. Graham, Jaroslav Nešetřil, Steve Butler.

This 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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Graham, Ronald L. (Editor), Nešetřil, Jaroslav (Editor), Butler, Steve (Editor)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:2nd ed. 2013.
Series:Springer eBook Collection.
Subjects:
Mathematics.
Number theory.
Convex geometry .
Discrete geometry.
Probabilities.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • VOLUME I
  • 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-Dérivabilité de Fonctions Périodiques Associées à 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
  • Bibliography.

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