Steps into Analytic Number Theory: a problem-based introduction
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
2021
|
| Ausgabe: | 1st ed. 2021 |
| Schriftenreihe: | Problem Books in Mathematics
|
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | xiii, 197 Seiten 332 grams |
| ISBN: | 9783030650797 9783030650766 |
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Datensatz im Suchindex
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| id | DE-604.BV048218262 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:50:02Z |
| indexdate | 2024-07-20T09:03:53Z |
| institution | BVB |
| isbn | 9783030650797 9783030650766 |
| language | English |
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| owner_facet | DE-29T DE-706 |
| physical | xiii, 197 Seiten 332 grams |
| publishDate | 2021 |
| publishDateSearch | 2021 |
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| publisher | Springer |
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| series2 | Problem Books in Mathematics |
| spelling | Pollack, Paul 1980- Verfasser (DE-588)143962892 aut Steps into Analytic Number Theory a problem-based introduction Paul Pollack, Akash Singha Roy 1st ed. 2021 Cham Springer 2021 xiii, 197 Seiten 332 grams txt rdacontent n rdamedia nc rdacarrier Problem Books in Mathematics 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 bicssc bisacsh Mathematics—Study and teaching Number theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Problemlösen (DE-588)4076358-4 gnd rswk-swf Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik Zahlentheorie (DE-588)4067277-3 s Problemlösen (DE-588)4076358-4 s DE-604 Roy, Akash Singha Sonstige oth Erscheint auch als Online-Ausgabe 978-3-030-65077-3 |
| spellingShingle | Pollack, Paul 1980- Steps into Analytic Number Theory a problem-based introduction bicssc bisacsh Mathematics—Study and teaching Number theory Zahlentheorie (DE-588)4067277-3 gnd Problemlösen (DE-588)4076358-4 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4076358-4 |
| title | Steps into Analytic Number Theory a problem-based introduction |
| title_auth | Steps into Analytic Number Theory a problem-based introduction |
| title_exact_search | Steps into Analytic Number Theory a problem-based introduction |
| title_exact_search_txtP | Steps into Analytic Number Theory a problem-based introduction |
| title_full | Steps into Analytic Number Theory a problem-based introduction Paul Pollack, Akash Singha Roy |
| title_fullStr | Steps into Analytic Number Theory a problem-based introduction Paul Pollack, Akash Singha Roy |
| title_full_unstemmed | Steps into Analytic Number Theory a problem-based introduction Paul Pollack, Akash Singha Roy |
| title_short | Steps into Analytic Number Theory |
| title_sort | steps into analytic number theory a problem based introduction |
| title_sub | a problem-based introduction |
| topic | bicssc bisacsh Mathematics—Study and teaching Number theory Zahlentheorie (DE-588)4067277-3 gnd Problemlösen (DE-588)4076358-4 gnd |
| topic_facet | bicssc bisacsh Mathematics—Study and teaching Number theory Zahlentheorie Problemlösen |
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