Unsolved Problems in Number Theory / by Richard K. Guy.

Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be c...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Guy, Richard K.
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2004.
Edition:Third edition.
Series:Problem books in mathematics ; 1.
Subjects:

MARC

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245 1 0 |a Unsolved Problems in Number Theory /  |c by Richard K. Guy. 
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505 0 |a Preface -- Introduction -- Prime Numbers -- Divisibility -- Additive Number Theory -- Diophantine Equations -- Sequences of Integers -- None of the Above. 
520 |a Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity. For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway's RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences. About the First Edition: " ... many talented young mathematicians will write their first papers starting out from problems found in this book."--András Sárközi, MathSciNet. 
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