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...
Enregistré dans:
| Andre forfattere: | , , |
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
New York, NY :
Springer New York
2013.
Cham : Springer Nature |
| Udgivelse: | 2nd ed. 2013. |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Mathematics of Paul Erdös, I, Ronald L. Graham, Jaroslav Nešetřil (Eds.), 1997, Berlin, Springer-Verlag, 1 vol. (XVI-399 p.), Algorithms and Combinatorics, 3-540-61032-4, Texte imprimé |
Indholdsfortegnelse:
- 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