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Derived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve numbertheoretical problems. This text by a noted pair of experts is regarded as the definitive work on the subject. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications.'For years to come, Sieve Methods will be vital to those seeking to work in the subject, and also to those seeking to make applications,' noted prominent mathematician Hugh Montgomery in his review of this volume for the Bulletin of the American Mathematical Society. The authors supply the theoretical background for the method of JurkatRichert and illustrate it by means of significant applications, concentrating on the 'small' sieves of Brun and Selberg. Additional topics include the linear sieve, a weighted sieve, and Chen's theorem.
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Q: What is the main focus of 'Sieve Methods (Dover Books on Mathematics)'?A: The book focuses on sieve theory, which uses techniques from analytic number theory to solve number-theoretical problems. It is regarded as a definitive work on the subject.
Q: Who are the authors of this book?A: The book is authored by Heine Halberstam and his collaborator.
Q: What is the publication date of 'Sieve Methods'?A: The book was published on September 14, 2011.
Q: How many pages does 'Sieve Methods' have?A: The book contains a total of 384 pages.
Q: What is the format of this book?A: The book is available in paperback format.
Q: Is 'Sieve Methods' suitable for beginners in mathematics?A: While the book provides a comprehensive overview of sieve theory, it is recommended for readers who have a background in analytic number theory and mathematical analysis.
Q: What are some key topics covered in 'Sieve Methods'?A: Key topics include the general sieve problem, the method of Jurkat-Richert, small sieves of Brun and Selberg, the linear sieve, a weighted sieve, and Chen's theorem.
Q: What audience is 'Sieve Methods' intended for?A: The book is intended for mathematicians, researchers, and advanced students interested in number theory and its applications.
Q: Does the book include practical applications of sieve theory?A: Yes, the authors illustrate significant applications of sieve theory throughout the text.
Q: Is 'Sieve Methods' in new condition?A: Yes, the book is described as being in new condition.
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