東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Excursions in multiplicative number ...

Ramare, Olivier.

FindBook

Google Book

Amazon

博客來

Excursions in multiplicative number theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Excursions in multiplicative number theory/ by Olivier Ramare.
作者:	Ramare, Olivier.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xxii, 338 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Number theory. -
電子資源:	https://doi.org/10.1007/978-3-030-73169-4
ISBN:	9783030731694

Excursions in multiplicative number theory
Ramare, Olivier.

Excursions in multiplicative number theory[electronic resource] /by Olivier Ramare. - Cham :Springer International Publishing :2022. - xxii, 338 p. :ill., digital ;24 cm. - Birkhauser advanced texts Basler Lehrbucher,2296-4894. - Birkhauser advanced texts Basler Lehrbucher..

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, Exponential sums with arithmetical coefficients, 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.

ISBN: 9783030731694

Standard No.: 10.1007/978-3-030-73169-4doiSubjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241 / .R36 2022

Dewey Class. No.: 512.7

Excursions in multiplicative number theory
LDR:02559nmm a2200325 a 4500 001 2299134
003 DE-He213
005 20220303015239.0
006 m d
007 cr nn 008maaau
008 230324s2022 sz s 0 eng d
020 $a 9783030731694 $q (electronic bk.)
020 $a 9783030731687 $q (paper)
024 7 $a 10.1007/978-3-030-73169-4 $2 doi
035 $a 978-3-030-73169-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA241 $b .R36 2022
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.7 $2 23
090 $a QA241 $b .R165 2022
100 1 $a Ramare, Olivier. $3 3596398
245 1 0 $a Excursions in multiplicative number theory $h [electronic resource] / $c by Olivier Ramare.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2022.
300 $a xxii, 338 p. : $b ill., digital ; $c 24 cm.
490 1 $a Birkhauser advanced texts Basler Lehrbucher, $x 2296-4894
520 $a 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, Exponential sums with arithmetical coefficients, 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.
650 0 $a Number theory. $3 515832
650 0 $a Multiplication. $3 573587
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Birkhauser advanced texts Basler Lehrbucher. $3 3496128
856 4 0 $u https://doi.org/10.1007/978-3-030-73169-4
950 $a Mathematics and Statistics (SpringerNature-11649)