Abstract Analytic Number Theory (Dover Books on Mathematics) - Softcover

Knopfmacher, John

Softcover

ISBN 10: 0486663442 ISBN 13: 9780486663449

Publisher: Dover Publications, 2015

Synopsis

"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.

About this title

About the Author

John Knopfmacher (1937–99) was a Professor of Mathematics at the University of the Witwatersrand in Johannesburg, South Africa.

From the Back Cover

"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.
Dover (2015) corrected and enlarged republication of the edition originally published by North-Holland Publishing Company, Amsterdam, and the American Elsevier Publishing Company, Inc., New York, 1975.
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Edition details

• Publisher: Dover Publications
• Publication date: 2015
• Language: English
• ISBN 10: 0486663442
• ISBN 13: 9780486663449
• Binding: Paperback
• Number of pages: 352