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Topics in the theory of numbers

Autore: Paul Erdős; János Surányi; Barry Guiduli
Editore: New York : Springer, ©2003.
Serie: Undergraduate texts in mathematics.
Edizione/Formato:   book_printbook : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
"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  Per saperne di più…
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Tipo materiale: Risorsa internet
Tipo documento: Book, Internet Resource
Tutti gli autori / Collaboratori: Paul Erdős; János Surányi; Barry Guiduli
ISBN: 0387953205 9780387953205
Numero OCLC: 49719185
Nota sulla lingua: Translated from the Hungarian.
Descrizione: xviii, 287 pages : illustrations ; 25 cm.
Contenuti: 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.
Titolo della serie: Undergraduate texts in mathematics.
Altri titoli: Válogatott fejezetek a számelméletből.
Responsabilità: Paul Erdős, János Surányi ; translated by Barry Guiduli.
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Abstract:

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. This book includes  Per saperne di più…

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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 Per saperne di più…

 
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