A Higher-Dimensional Sieve Method Contributor(s): Diamond, Harold G. (Author), Halberstam, H. (Author), Galway, William F. (Author) |
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ISBN: 0521894875 ISBN-13: 9780521894876 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: November 2008 |
Additional Information |
BISAC Categories: - Mathematics | Number Theory |
Dewey: 512.73 |
Series: Cambridge Tracts in Mathematics (Hardcover) |
Physical Information: 0.9" H x 6.2" W x 9.1" (1.15 lbs) 290 pages |
Descriptions, Reviews, Etc. |
Publisher Description: As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica(R) software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. |
Contributor Bio(s): Halberstam, H.: - Heini Halberstam is Professor Emeritus in the Department of Mathematics at the University of Illinois at Urbana-Champaign.Diamond, Harold G.: - Harold G. Diamond is Professor Emeritus in the Department of Mathematics at the University of Illinois at Urbana-Champaign.Galway, William F.: - William F. Galway's research focuses on analytic and computational number theory. He is a member of the American Mathematical Society and of the Mathematical Association of America. |