A primer of analytic number theory: from Pythagoras to Riemann
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, UK
Cambridge University Press
2003
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (p. 375-377) and index Sums and differences -- Products and divisibility -- Order and magnitude -- Averages -- Calculus -- Primes -- Series -- Basel problem -- Euler's product -- Complex numbers -- The Riemann zeta function -- Symmetry -- Explicit formula -- Modular arithmetic -- Pell's equation -- Elliptic curves -- Analytic theory of algebraic numbers "This undergraduate introduction to analytic number theory develops analytic skills in the course of a study of ancient questions on polygonal numbers, perfect numbers, and amicable pairs. The question of how the primes are distributed among all integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeros of his function and the significance of the Riemann Hypothesis."--Jacket |
| Physical Description: | 1 Online-Ressource (xiii, 383 p.) |
| ISBN: | 0511064705 0511755139 0521012538 0521813093 9780511064708 9780511755132 9780521012539 9780521813099 |
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| 245 | 1 | 0 | |a A primer of analytic number theory |b from Pythagoras to Riemann |c Jeffrey Stopple |
| 264 | 1 | |a Cambridge, UK |b Cambridge University Press |c 2003 | |
| 300 | |a 1 Online-Ressource (xiii, 383 p.) | ||
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| 500 | |a Includes bibliographical references (p. 375-377) and index | ||
| 500 | |a Sums and differences -- Products and divisibility -- Order and magnitude -- Averages -- Calculus -- Primes -- Series -- Basel problem -- Euler's product -- Complex numbers -- The Riemann zeta function -- Symmetry -- Explicit formula -- Modular arithmetic -- Pell's equation -- Elliptic curves -- Analytic theory of algebraic numbers | ||
| 500 | |a "This undergraduate introduction to analytic number theory develops analytic skills in the course of a study of ancient questions on polygonal numbers, perfect numbers, and amicable pairs. The question of how the primes are distributed among all integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeros of his function and the significance of the Riemann Hypothesis."--Jacket | ||
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| 650 | 4 | |a nombre premier | |
| 650 | 4 | |a fonction Zeta | |
| 650 | 4 | |a courbe elliptique | |
| 650 | 4 | |a Nombres, Théorie des | |
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Record in the Search Index
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| any_adam_object | |
| author | Stopple, Jeffrey |
| author_facet | Stopple, Jeffrey |
| author_role | aut |
| author_sort | Stopple, Jeffrey |
| author_variant | j s js |
| building | Verbundindex |
| bvnumber | BV043150078 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)771913096 (DE-599)BVBBV043150078 |
| dewey-full | 512/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.7 |
| dewey-search | 512/.7 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043150078 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:00Z |
| institution | BVB |
| isbn | 0511064705 0511755139 0521012538 0521813093 9780511064708 9780511755132 9780521012539 9780521813099 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028574269 |
| oclc_num | 771913096 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 383 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2003 |
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| publishDateSort | 2003 |
| publisher | Cambridge University Press |
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| spelling | Stopple, Jeffrey Verfasser aut A primer of analytic number theory from Pythagoras to Riemann Jeffrey Stopple Cambridge, UK Cambridge University Press 2003 1 Online-Ressource (xiii, 383 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 375-377) and index Sums and differences -- Products and divisibility -- Order and magnitude -- Averages -- Calculus -- Primes -- Series -- Basel problem -- Euler's product -- Complex numbers -- The Riemann zeta function -- Symmetry -- Explicit formula -- Modular arithmetic -- Pell's equation -- Elliptic curves -- Analytic theory of algebraic numbers "This undergraduate introduction to analytic number theory develops analytic skills in the course of a study of ancient questions on polygonal numbers, perfect numbers, and amicable pairs. The question of how the primes are distributed among all integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeros of his function and the significance of the Riemann Hypothesis."--Jacket théorie nombre nombre premier fonction Zeta courbe elliptique Nombres, Théorie des Getaltheorie gtt Teoria dos números larpcal Teoria analítica dos números larpcal Nombres, Théorie des ram MATHEMATICS / Number Theory bisacsh Number theory fast Number theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120566 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stopple, Jeffrey A primer of analytic number theory from Pythagoras to Riemann théorie nombre nombre premier fonction Zeta courbe elliptique Nombres, Théorie des Getaltheorie gtt Teoria dos números larpcal Teoria analítica dos números larpcal Nombres, Théorie des ram MATHEMATICS / Number Theory bisacsh Number theory fast Number theory Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4067277-3 |
| title | A primer of analytic number theory from Pythagoras to Riemann |
| title_auth | A primer of analytic number theory from Pythagoras to Riemann |
| title_exact_search | A primer of analytic number theory from Pythagoras to Riemann |
| title_full | A primer of analytic number theory from Pythagoras to Riemann Jeffrey Stopple |
| title_fullStr | A primer of analytic number theory from Pythagoras to Riemann Jeffrey Stopple |
| title_full_unstemmed | A primer of analytic number theory from Pythagoras to Riemann Jeffrey Stopple |
| title_short | A primer of analytic number theory |
| title_sort | a primer of analytic number theory from pythagoras to riemann |
| title_sub | from Pythagoras to Riemann |
| topic | théorie nombre nombre premier fonction Zeta courbe elliptique Nombres, Théorie des Getaltheorie gtt Teoria dos números larpcal Teoria analítica dos números larpcal Nombres, Théorie des ram MATHEMATICS / Number Theory bisacsh Number theory fast Number theory Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | théorie nombre nombre premier fonction Zeta courbe elliptique Nombres, Théorie des Getaltheorie Teoria dos números Teoria analítica dos números MATHEMATICS / Number Theory Number theory Zahlentheorie |
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| work_keys_str_mv | AT stopplejeffrey aprimerofanalyticnumbertheoryfrompythagorastoriemann |