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

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9780521894876: A Higher-Dimensional Sieve Method: With Procedures for Computing Sieve Functions (Cambridge Tracts in Mathematics)
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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® software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions.

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Book Description:

Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and practical guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. An Appendix describes methods for computing sieve functions.

About the Author:

Harold G. Diamond is Professor Emeritus in the Department of Mathematics at the University of Illinois at Urbana-Champaign.

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Hardback. Condition: New. Language: English . Brand New Book. Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. 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. 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. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica (R) which aid in the computation of such functions. Seller Inventory # AAA9780521894876

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