The Theory of Algebraic Number Fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is an English translation of Hilbert's Zahlbericht, the monumental report on the theory of algebraic number field which he composed for the German Mathematical Society. In this magisterial work Hilbert provides a unified account of the development of algebraic number theory up to the end of the nineteenth century. He greatly simplified Kummer's theory and laid the foundation for a general theory of abelian fields and class field theory. David Hilbert (1862-1943) made great contributions to many areas of mathematics - invariant theory, algebraic number theory, the foundations of geometry, integral equations, the foundations of mathematics and mathematical physics. He is remembered also for his lecture at the Paris International Congress of Mathematicians in 1900 where he presented a set of 23 problems "from the discussion of which an advancement of science may be expected" - his expectations have been amply fulfilled |
| Beschreibung: | 1 Online-Ressource (XXXVI, 351 p) |
| ISBN: | 9783662035450 9783642083068 |
| DOI: | 10.1007/978-3-662-03545-0 |
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| author | Hilbert, David |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03545-0 |
| era | Geschichte 1897 gnd |
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| format | Electronic eBook |
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| isbn | 9783662035450 9783642083068 |
| language | English |
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| spelling | Hilbert, David Verfasser aut The Theory of Algebraic Number Fields by David Hilbert Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XXXVI, 351 p) txt rdacontent c rdamedia cr rdacarrier This book is an English translation of Hilbert's Zahlbericht, the monumental report on the theory of algebraic number field which he composed for the German Mathematical Society. In this magisterial work Hilbert provides a unified account of the development of algebraic number theory up to the end of the nineteenth century. He greatly simplified Kummer's theory and laid the foundation for a general theory of abelian fields and class field theory. David Hilbert (1862-1943) made great contributions to many areas of mathematics - invariant theory, algebraic number theory, the foundations of geometry, integral equations, the foundations of mathematics and mathematical physics. He is remembered also for his lecture at the Paris International Congress of Mathematicians in 1900 where he presented a set of 23 problems "from the discussion of which an advancement of science may be expected" - his expectations have been amply fulfilled Geschichte 1897 gnd rswk-swf Mathematics Number theory Number Theory History of Mathematical Sciences Mathematik Algebraischer Zahlkörper (DE-588)4068537-8 gnd rswk-swf Algebraische Invariante (DE-588)4141838-4 gnd rswk-swf Quelle (DE-588)4135952-5 gnd rswk-swf Algebraischer Zahlkörper (DE-588)4068537-8 s Geschichte 1897 z Quelle (DE-588)4135952-5 s 1\p DE-604 Algebraische Invariante (DE-588)4141838-4 s 2\p DE-604 https://doi.org/10.1007/978-3-662-03545-0 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 | Hilbert, David The Theory of Algebraic Number Fields Mathematics Number theory Number Theory History of Mathematical Sciences Mathematik Algebraischer Zahlkörper (DE-588)4068537-8 gnd Algebraische Invariante (DE-588)4141838-4 gnd Quelle (DE-588)4135952-5 gnd |
| subject_GND | (DE-588)4068537-8 (DE-588)4141838-4 (DE-588)4135952-5 |
| title | The Theory of Algebraic Number Fields |
| title_auth | The Theory of Algebraic Number Fields |
| title_exact_search | The Theory of Algebraic Number Fields |
| title_full | The Theory of Algebraic Number Fields by David Hilbert |
| title_fullStr | The Theory of Algebraic Number Fields by David Hilbert |
| title_full_unstemmed | The Theory of Algebraic Number Fields by David Hilbert |
| title_short | The Theory of Algebraic Number Fields |
| title_sort | the theory of algebraic number fields |
| topic | Mathematics Number theory Number Theory History of Mathematical Sciences Mathematik Algebraischer Zahlkörper (DE-588)4068537-8 gnd Algebraische Invariante (DE-588)4141838-4 gnd Quelle (DE-588)4135952-5 gnd |
| topic_facet | Mathematics Number theory Number Theory History of Mathematical Sciences Mathematik Algebraischer Zahlkörper Algebraische Invariante Quelle |
| url | https://doi.org/10.1007/978-3-662-03545-0 |
| work_keys_str_mv | AT hilbertdavid thetheoryofalgebraicnumberfields |