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Author: Henry Bowers
Publisher: London : Toronto : Dent ; New York : Dover Publications
ISBN:
Category : Algebra
Languages : en
Pages : 356
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Book Description
Author: Henry Bowers
Publisher: London : Toronto : Dent ; New York : Dover Publications
ISBN:
Category : Algebra
Languages : en
Pages : 356
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Book Description
Author: Olivier Ramaré
Publisher: Springer Nature
ISBN: 3030731693
Category : Mathematics
Languages : en
Pages : 342
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Book Description
This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided “walks” invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin–Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at “higher ground”, where they will find opportunities for extensions and applications, such as the Selberg formula, Brun’s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage. Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.
Author: Israel Kleiner
Publisher: Springer Science & Business Media
ISBN: 0817682686
Category : Mathematics
Languages : en
Pages : 362
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Book Description
This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.
Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 456
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Book Description
Author: Jacob William Albert Young
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Author: Robert M. Young
Publisher: Cambridge University Press
ISBN: 9780883853177
Category : Mathematics
Languages : en
Pages : 436
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Book Description
This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.
Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1076
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Book Description
Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)
Author: L. Clark Lay
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 618
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Book Description
Author:
Publisher:
ISBN:
Category : England
Languages : en
Pages : 916
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Book Description
Author: William BUTLER (Writing-Master.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 536
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Book Description
