Unsolved Problems in Number Theory (Problem Books in Mathematics, 1): Guy, Richard: 9780387208602: Amazon.com: Books

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Unsolved Problems in Number Theory (Problem Books in Mathematics, 1) 3rd Edition

by Richard Guy (Author)

4.8 7 ratings

Part of: Problem Books in Mathematics (67 books)

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Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.

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ISBN-10

0387208607
ISBN-13

978-0387208602
Edition

3rd
Publisher

Springer
Publication date

2004
July 13
Part of series

Problem Books in Mathematics
Language

EN
English
Dimensions

6.5 x 0.5 x 9.5
inches
Length

456
Pages
See all details

Editorial Reviews

Review

From the reviews of the third edition:

"This is the third edition of Richard Guy’s well-known problem book on number theory … . The earlier editions have served well in providing beginners as well as seasoned researchers in number theory with a good supply of problems. … many of the problems from earlier editions have been expanded with more up-to-date comments and remarks. … There is little doubt that a new generation of talented young mathematicians will make very good use of this book … ." (P. Shiu, The Mathematical Gazette, Vol. 89 (516), 2005)

"The earlier editions of this book are among the most-opened books on the shelves of many practicing number theorists. The descriptions of state-of-the-art results on every topic and the extensive bibliographies in each section provide valuable ports of entry to the vast literature. A new and promising addition to this third edition is the inclusion of frequent references to entries in the Online encyclopedia of integer sequences at the end of each topic." (Greg Martin, Mathematical Reviews, Issue 2005 h)

From the Back Cover

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

Product details

Publisher ‏ : ‎ Springer; 3rd edition (July 13, 2004)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 456 pages
ISBN-10 ‏ : ‎ 0387208607
ISBN-13 ‏ : ‎ 978-0387208602
Item Weight ‏ : ‎ 3.99 pounds
Dimensions ‏ : ‎ 6.5 x 0.5 x 9.5 inches

Best Sellers Rank: #904,987 in Books (See Top 100 in Books)
- #202 in Number Theory (Books)
- #1,826 in Mathematics (Books)
- #31,541 in Unknown

Customer Reviews:
4.8 7 ratings

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Richard K. Guy

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4.8 out of 5

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Reviewed in the United States on July 20, 2016

Verified Purchase

This is the best collection of unsolved problems in number theory ever published.

One person found this helpful

Fulfills what was expected of it

Reviewed in the United States on September 11, 2011

Verified Purchase

Contains a surprising number of typographical errors. Good compilation of many, many extremely difficult problems, but not a textbook or learning resource by any means.

4 people found this helpful

Top reviews from other countries

Willy Van den Driessche

Only for number theory freaks

Reviewed in France on October 7, 2010

Verified Purchase

This is not a normal textbook. Although it has a substantial number of pages, it is little more than an enumeration of mathematical conjectures that are waiting for a solution. All of them are placed into a very brief context. Some of these are esoteric (like palindromic primes) but I personally find a lot of them interesting. For me as an amateur the nice thing is that you have some certitude that the problem you pick from this book has not long been solved.

One person found this helpful

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