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Topics in the theory of numbers

Auteur : Paul Erdős; János Surányi; Barry Guiduli
Éditeur: New York : Springer, ©2003.
Collection: Undergraduate texts in mathematics.
Édition/format:   Livre imprimé : AnglaisVoir toutes les éditions et tous les formats
Résumé:
"This unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatment of the subject, the authors have chosen instead to illustrate the many varied subjects by associating recent discoveries, interesting methods, and unsolved problems. In particular, we read about combinatorial problems in number theory, a branch of mathematics cofounded and  Lire la suite...
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Détails

Type d’ouvrage: Ressource Internet
Type de document: Livre, Ressource Internet
Tous les auteurs / collaborateurs: Paul Erdős; János Surányi; Barry Guiduli
ISBN: 0387953205 9780387953205
Numéro OCLC: 49719185
Note sur la langue: Translated from the Hungarian.
Description: xviii, 287 pages : illustrations ; 25 cm.
Contenu: Facts Used Without Proof in the Book --
Ch. 1. Divisibility, the Fundamental Theorem of Number Theory --
Ch. 2. Congruences --
Ch. 3. Rational and Irrational Numbers. Approximation of Numbers by Rational Numbers (Diophantine Approximation) --
Ch. 4. Geometric Methods in Number Theory --
Ch. 5. Properties of Prime Numbers --
Ch. 6. Sequences of Integers --
Ch. 7. Diophantine Problems --
Ch. 8. Arithmetic Functions --
Hints to the More Difficult Exercises.
Titre de collection: Undergraduate texts in mathematics.
Autres titres: Válogatott fejezetek a számelméletből.
Responsabilité: Paul Erdős, János Surányi ; translated by Barry Guiduli.
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Résumé:

Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones.  Lire la suite...

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From the reviews:"Read this book just for Erdos's (Erdos's) characteristic turn of thought, or for results hard to find elsewhere, such as a finiteness theorem concerning odd perfect numbers with a Lire la suite...

 
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