Algebraic Number Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
322 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available." W. Kleinert in Z.blatt f. Math., 1992 "The author's enthusiasm for this topic is rarely as evident for the reader as in this book. - A good book, a beautiful book." F. Lorenz in Jber. DMV 1995 "The present work is written in a very careful and masterly fashion. It does not show the pains that it must have caused even an expert like Neukirch. It undoubtedly is liable to become a classic; the more so as recent developments have been taken into account which will not be outdated quickly. Not only must it be missing from the library of no number theorist, but it can simply be recommended to every mathematician who wants to get an idea of modern arithmetic." J. Schoissengeier in Montatshefte Mathematik 1994 |
| Beschreibung: | 1 Online-Ressource (XVII, 574 p) |
| ISBN: | 9783662039830 9783642084737 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-662-03983-0 |
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Datensatz im Suchindex
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| author | Neukirch, Jürgen |
| author_facet | Neukirch, Jürgen |
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| author_sort | Neukirch, Jürgen |
| author_variant | j n jn |
| building | Verbundindex |
| bvnumber | BV042423288 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863901490 (DE-599)BVBBV042423288 |
| 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 | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03983-0 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662039830 9783642084737 |
| issn | 0072-7830 |
| language | English |
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| physical | 1 Online-Ressource (XVII, 574 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1999 |
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| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Neukirch, Jürgen Verfasser aut Algebraic Number Theory by Jürgen Neukirch Berlin, Heidelberg Springer Berlin Heidelberg 1999 1 Online-Ressource (XVII, 574 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 322 0072-7830 "The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available." W. Kleinert in Z.blatt f. Math., 1992 "The author's enthusiasm for this topic is rarely as evident for the reader as in this book. - A good book, a beautiful book." F. Lorenz in Jber. DMV 1995 "The present work is written in a very careful and masterly fashion. It does not show the pains that it must have caused even an expert like Neukirch. It undoubtedly is liable to become a classic; the more so as recent developments have been taken into account which will not be outdated quickly. Not only must it be missing from the library of no number theorist, but it can simply be recommended to every mathematician who wants to get an idea of modern arithmetic." J. Schoissengeier in Montatshefte Mathematik 1994 Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraischer Zahlkörper (DE-588)4068537-8 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s 1\p DE-604 Algebraischer Zahlkörper (DE-588)4068537-8 s 2\p DE-604 https://doi.org/10.1007/978-3-662-03983-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Neukirch, Jürgen Algebraic Number Theory Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Algebraischer Zahlkörper (DE-588)4068537-8 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4068537-8 |
| title | Algebraic Number Theory |
| title_auth | Algebraic Number Theory |
| title_exact_search | Algebraic Number Theory |
| title_full | Algebraic Number Theory by Jürgen Neukirch |
| title_fullStr | Algebraic Number Theory by Jürgen Neukirch |
| title_full_unstemmed | Algebraic Number Theory by Jürgen Neukirch |
| title_short | Algebraic Number Theory |
| title_sort | algebraic number theory |
| topic | Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Algebraischer Zahlkörper (DE-588)4068537-8 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Algebraische Zahlentheorie Algebraischer Zahlkörper |
| url | https://doi.org/10.1007/978-3-662-03983-0 |
| work_keys_str_mv | AT neukirchjurgen algebraicnumbertheory |