A Higher-Dimensional Sieve Method: With Procedures for Computing Sieve Functions: 177 (Cambridge Tracts in Mathematics)

Book Details

• Author: Harold G. Diamond

• Publisher: Cambridge University Press

• Binding: Hardcover

• Number of Pages: 290

• Release Date: 16-10-2008

• ISBN: 9780521894876

• Package Dimensions: 9.2 x 6.2 x 0.8 inches

• Languages: English

About The Book
In Harold G. Diamond's authoritative work, readers are presented with an in-depth exploration of the evolution of sieve methods in mathematics. With 290 pages of meticulously detailed content, this book delves into the application and sophistication of sieve techniques, which have evolved significantly since their inception by Viggo Brun nearly a century ago.

As probability and combinatorics have become integral to mathematical research, sieve methods have adapted to address increasingly complex problems. This book provides a modern and comprehensive guide for those who encounter combinatorial problems requiring sieving arguments, presenting the theory of higher-dimensional sieves with clarity and precision.

The text includes numerous examples and references, providing readers with a clear understanding of the role these methods play in mathematical discoveries. The book also offers access to a Mathematica® software package, allowing for practical sieve-theoretical calculations, along with a detailed appendix describing the computation of sieve functions and useful Mathematica® features to assist with such functions.