Unsolved Problems in Number Theory (Problem Books in Mathematics) (v. 1) (Hardcover)

by Richard K. Guy (Author)

Editorial Reviews

Product Description
This book contains discussions of hundreds of open questions in number theory, organized into 185 different topics. They represent numerous aspects of number theory and are organized into six categories: prime numbers, divisibility, additive number theory, Diophantine equations, sequences of integers, and miscellaneous. To prevent repetition of earlier efforts or duplication of previously known results, an extensive and up-to-date collection of references follows each problem. In the second edition, extensive new material has been added, and corrections have been included throughout the book. This volume is an invaluable supplement to any course in number theory.

Product Details

• Hardcover: 300 pages
• Publisher: Springer; 2 Sub edition (July 1994)
• Language: English
• ISBN-10: 0387942890
• ISBN-13: 978-0387942896
• Product Dimensions: 9.6 x 6.4 x 0.9 inches
• Shipping Weight: 1.4 pounds
• Average Customer Review: 5.0 out of 5 stars See all reviews (2 customer reviews)
• Amazon.com Sales Rank: #502,648 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

5.0 out of 5 stars An excursion into the labyrinths carved by numbers, January 5, 2000

By	Charles Ashbacher "([e-mail])" (Marion, Iowa United States([e-mail])) - See all my reviews (TOP 50 REVIEWER)

Number theory is the most enigmatic of disciplines, in that the problems are so easy to state and understand and yet so hard to resolve. Furthermore, when solved, the proofs are sometimes surprisingly easy. In this collection, Guy has put together a truly fascinating survey of what is currently (un)known about numbers.
Each page is an excursion into the extensive labyrinths carved out by numbers. Approximately once a month, I scan it looking for new avenues to explore. Invariably, I see something, sketch out some possible proof routes and then end in frustration. A typical result of working in number theory.
Whether you are an amateur or professional, if you have an interest in number theory, you will like this book. Perhaps you will be able to make some progress towards resolving some of these problems. It is certainly possible, as no field has had more positive contributions from amateurs than number theory. Even Fermat fit the definition of an amateur.

3 of 6 people found the following review helpful:

5.0 out of 5 stars Outstanding source of intersting problems in number theory, June 17, 1997

By A Customer

Another of my 10 favorite books. A constant source of inspiration