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Topics in the theory of numbers

Author: Paul Erdős; János Surányi; Barry Guiduli
Publisher: New York : Springer, ©2003.
Series: Undergraduate texts in mathematics.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paul Erdős; János Surányi; Barry Guiduli
ISBN: 0387953205 9780387953205
OCLC Number: 49719185
Description: xviii, 287 p. : ill. ; 25 cm.
Contents: 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.
Series Title: Undergraduate texts in mathematics.
Other Titles: Válogatott fejezetek a számelméletből.
Responsibility: 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  Read more...

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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 Read more...

 
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schema:reviewBody""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 popularized by Paul Erdos. Janos Suranyi's vast teaching experience successfully complements Paul Erdos's ability to initiate new directions of research by suggesting new problems and approaches. This book will surely arouse the interest of the student and the teacher alike."--BOOK JACKET."
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