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
"synopsis" may belong to another edition of this title.
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
"About this title" may belong to another edition of this title.
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24 × 16.5 cm, hardcover, xviii, 438 pages, text in English, very good/ fine condition, see picture. Volume in the series Problem Books in Mathematics (edited by K. A. Bencsáth and P. R. Halmos). Classic reference on unsolved and open problems in number theory, including prime numbers, Diophantine equations, sequences, and combinatorial aspects. 840g. Seller Inventory # 80658
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