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Abstract Analytic Number Theory
John Knopfmacher
出版Courier Dover Publications, 2015-03-17
主題Mathematics / Number Theory
ISBN04861693409780486169347
URLhttp://books.google.com.hk/books?id=GCF8BwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋"This book is well-written and the bibliography excellent," declared Mathematical Reviews of John Knopfmacher's innovative study. The three-part treatment applies classical analytic number theory to a wide variety of mathematical subjects not usually treated in an arithmetical way. The first part deals with arithmetical semigroups and algebraic enumeration problems; Part Two addresses arithmetical semigroups with analytical properties of classical type; and the final part explores analytical properties of other arithmetical systems.
Because of its careful treatment of fundamental concepts and theorems, this text is accessible to readers with a moderate mathematical background, i.e., three years of university-level mathematics. An extensive bibliography is provided, and each chapter includes a selection of references to relevant research papers or books. The book concludes with an appendix that offers several unsolved questions, with interesting proposals for further development.