Wpisz informacje, które znasz

zamknij

A HIGHERDIMENSIONAL SIEVE METHOD

G. Diamond Harold

Oprawa:
TWARDA

Wydawca:
Cambridge University Press

Data premiery:
2008-10-16

ISBN:
9780521894876

491,40 PLN
Wysyłamy w 21 dni

Opis produktu

Harold G. Diamond is Professor Emeritus in the Department of Mathematics at the University of Illinois at UrbanaChampaign.Modern and practical guide to higher dimensional sieve theory with an Appendix describing methods for computing sieve functions.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.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.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 software package for sievetheoretical 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 which aid in the computation of such functions.List of tables: List of illustrations: Preface: Notation: Part I. Sieves: 1. Introduction: 2. Selbergs sieve method: 3. Combinatorial foundations: 4. The fundamental Lemma: 5. Selbergs sieve method (continued): 6. Combinatorial foundations (continued): 7. The case = 1: the linear sieve: 8. An application of the linear sieve: 9. A sieve method for > 1: 10. Some applications of Theorem 9.1: 11. A weighted sieve method: Part II. Proof of the Main Analytic Theorem: 12. Dramatis personae and preliminaries: 13. Strategy and a necessary condition: 14. Estimates of (u) = j (u/2): 15. The p and q functions: 16. The zeros of ł2 and : 17. The parameters and : 18. Properties of F and f: Appendix 1. Methods for computing sieve functions: Bibliography: Index. definitely of great interest to the intermediateadvanced sieve theorist. Internationale Mathematische NachrichtenThis is a wellcrafted book with clear writing. MAA Reviews a very good source of details of techniques used in sieve methods and

Data Publikacji: 2008-10-16
Wymiary: 228 mm 152 mm 20 mm 520 gr

Dodaj recenzję

Zaloguj sie, aby móc dodać swoją recenzję.

Kontakt

mail: prus@prus24.pl

telefon: (22) 826-18-35

Copyright © 2001-2024 Główna Księgarnia Naukowa im. B. Prusa. Wszelkie prawa zastrzeżone.
Home   /   Informacje   /   Kontakt
Projekt i realizacja:
MDA.pl