The Mathematics of Paul Erdős I
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...
Other Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
2013, 2013
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Edition: | 2nd ed. 2013 |
Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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