東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Steps into analytic number theory = ...

Pollack, Paul.

Linked to FindBook

Google Book

Amazon

博客來

Steps into analytic number theory = a problem-based introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Steps into analytic number theory/ by Paul Pollack, Akash Singha Roy.
Reminder of title:	a problem-based introduction /
Author:	Pollack, Paul.
other author:	Singha Roy, Akash.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiii, 197 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Set #0 -- Set #1 -- Set #2 -- Set #3 -- Set #4 -- Set #5 -- Set #6 -- Set #7 -- Set #8 -- Set #9 -- Set #10 -- Set #11 -- Special Set A: Dirichlet's Theorem for m = 8 -- Special Set B: Dirichlet's Theorem for m = l (odd prime) -- Special Set C: Dirichlet's Theorem in the General Case -- Solutions to Set #0 -- Solutions to Set #1 -- Solutions to Set #2 -- Solutions to Set #3 -- Solutions to Set #4 -- Solutions to Set #5 -- Solutions to Set #6 -- Solutions to Set #7 -- Solutions to Set #8 -- Solutions to Set #9 -- Solutions to Set #10 -- Solutions to Set #11 -- Solutions to Special Set A -- Solutions to Special Set B -- Solutions to Special Set C -- Epilogue -- Suggestions for Further Reading.
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://doi.org/10.1007/978-3-030-65077-3
ISBN:	9783030650773

Steps into analytic number theory = a problem-based introduction /
Pollack, Paul.

Steps into analytic number theorya problem-based introduction /[electronic resource] :by Paul Pollack, Akash Singha Roy. - Cham :Springer International Publishing :2021. - xiii, 197 p. :ill., digital ;24 cm. - Problem books in mathematics,0941-3502. - Problem books in mathematics..

Preface -- Set #0 -- Set #1 -- Set #2 -- Set #3 -- Set #4 -- Set #5 -- Set #6 -- Set #7 -- Set #8 -- Set #9 -- Set #10 -- Set #11 -- Special Set A: Dirichlet's Theorem for m = 8 -- Special Set B: Dirichlet's Theorem for m = l (odd prime) -- Special Set C: Dirichlet's Theorem in the General Case -- Solutions to Set #0 -- Solutions to Set #1 -- Solutions to Set #2 -- Solutions to Set #3 -- Solutions to Set #4 -- Solutions to Set #5 -- Solutions to Set #6 -- Solutions to Set #7 -- Solutions to Set #8 -- Solutions to Set #9 -- Solutions to Set #10 -- Solutions to Set #11 -- Solutions to Special Set A -- Solutions to Special Set B -- Solutions to Special Set C -- Epilogue -- Suggestions for Further Reading.

This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China. While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more. This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.

ISBN: 9783030650773

Standard No.: 10.1007/978-3-030-65077-3doiSubjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

Steps into analytic number theory = a problem-based introduction /
LDR:02970nmm a2200337 a 4500 001 2238425
003 DE-He213
005 20210616141210.0
006 m d
007 cr nn 008maaau
008 211111s2021 sz s 0 eng d
020 $a 9783030650773 $q (electronic bk.)
020 $a 9783030650766 $q (paper)
024 7 $a 10.1007/978-3-030-65077-3 $2 doi
035 $a 978-3-030-65077-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA241
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 .P771 2021
100 1 $a Pollack, Paul. $3 3491583
245 1 0 $a Steps into analytic number theory $h [electronic resource] : $b a problem-based introduction / $c by Paul Pollack, Akash Singha Roy.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 197 p. : $b ill., digital ; $c 24 cm.
490 1 $a Problem books in mathematics, $x 0941-3502
505 0 $a Preface -- Set #0 -- Set #1 -- Set #2 -- Set #3 -- Set #4 -- Set #5 -- Set #6 -- Set #7 -- Set #8 -- Set #9 -- Set #10 -- Set #11 -- Special Set A: Dirichlet's Theorem for m = 8 -- Special Set B: Dirichlet's Theorem for m = l (odd prime) -- Special Set C: Dirichlet's Theorem in the General Case -- Solutions to Set #0 -- Solutions to Set #1 -- Solutions to Set #2 -- Solutions to Set #3 -- Solutions to Set #4 -- Solutions to Set #5 -- Solutions to Set #6 -- Solutions to Set #7 -- Solutions to Set #8 -- Solutions to Set #9 -- Solutions to Set #10 -- Solutions to Set #11 -- Solutions to Special Set A -- Solutions to Special Set B -- Solutions to Special Set C -- Epilogue -- Suggestions for Further Reading.
520 $a This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China. While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more. This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.
650 0 $a Number theory. $3 515832
650 0 $a Mathematics $x Problems, exercises, etc. $3 515988
650 1 4 $a Number Theory. $3 891078
650 2 4 $a Mathematics Education. $3 637497
700 1 $a Singha Roy, Akash. $3 3491584
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Problem books in mathematics. $3 1535952
856 4 0 $u https://doi.org/10.1007/978-3-030-65077-3
950 $a Mathematics and Statistics (SpringerNature-11649)