Abstract Analytic Number Theory
"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.
non-fiction;mathematical studies;books on math;mathematics;classical analytic number theory;number theory;analytic numbers;arithmetical systems;arithmetical semigroups;algebraic enumeration;analytical properties;complex;science and math;Number Theory; Arithmetical semi-groups; Algebraic enumeration problems; Ramanujan sums
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.
Corrected and enlarged reprint of the North-Holland Publishing Company, Amsterdam, and the American Elsevier Publishing Company, Inc., New York, 1975 edition.
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"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.
non-fiction;mathematical studies;books on math;mathematics;classical analytic number theory;number theory;analytic numbers;arithmetical systems;arithmetical semigroups;algebraic enumeration;analytical properties;complex;science and math;Number Theory; Arithmetical semi-groups; Algebraic enumeration problems; Ramanujan sums
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.
Corrected and enlarged reprint of the North-Holland Publishing Company, Amsterdam, and the American Elsevier Publishing Company, Inc., New York, 1975 edition.
