Unsolved Problems in Number Theory (Unsolved Problems in Intuitive Mathematics)

Guy, Richard K.

ISBN 10: 0387942890 / ISBN 13: 9780387942896

Editore: Springer Verlag, 1997

Riguardo questo articolo

Codice articolo Shelfdream0387942890

Dati bibliografici

• Titolo: Unsolved Problems in Number Theory (Unsolved Problems in Intuitive Mathematics)
• Editore: Springer Verlag
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0387942890
• ISBN 13: 9780387942896
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

Unsolved Problems in Number Theory contains discussions of hundreds of open questions, 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, not only extensive new material has been added, but corrections and additions have been included throughout the book.

Recensione

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)