Algebraic number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Springer undergraduate mathematics series
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319075440 9783319075457 |
| DOI: | 10.1007/978-3-319-07545-7 |
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Datensatz im Suchindex
| _version_ | 1804152403535069184 |
|---|---|
| adam_text | ALGEBRAIC NUMBER THEORY
/ JARVIS, FRAZER
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
UNIQUE FACTORISATION IN THE NATURAL NUMBERS
NUMBER FIELDS
FIELDS, DISCRIMINANTS AND INTEGRAL BASES
IDEALS
PRIME IDEALS AND UNIQUE FACTORISATION
IMAGINARY QUADRATIC FIELDS
LATTICES AND GEOMETRICAL METHODS
OTHER FIELDS OF SMALL DEGREE
CYCLOTOMIC FIELDS AND THE FERMAT EQUATION
ANALYTIC METHODS
THE NUMBER FIELD SIEVE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ALGEBRAIC NUMBER THEORY
/ JARVIS, FRAZER
: 2014
ABSTRACT / INHALTSTEXT
THE TECHNICAL DIFFICULTIES OF ALGEBRAIC NUMBER THEORY OFTEN MAKE THIS
SUBJECT APPEAR DIFFICULT TO BEGINNERS. THIS UNDERGRADUATE TEXTBOOK
PROVIDES A WELCOME SOLUTION TO THESE PROBLEMS AS IT PROVIDES AN
APPROACHABLE AND THOROUGH INTRODUCTION TO THE TOPIC. ALGEBRAIC NUMBER
THEORY TAKES THE READER FROM UNIQUE FACTORISATION IN THE INTEGERS
THROUGH TO THE MODERN-DAY NUMBER FIELD SIEVE. THE FIRST FEW CHAPTERS
CONSIDER THE IMPORTANCE OF ARITHMETIC IN FIELDS LARGER THAN THE RATIONAL
NUMBERS. WHILST SOME RESULTS GENERALISE WELL, THE UNIQUE FACTORISATION
OF THE INTEGERS IN THESE MORE GENERAL NUMBER FIELDS OFTEN FAIL.
ALGEBRAIC NUMBER THEORY AIMS TO OVERCOME THIS PROBLEM. MOST EXAMPLES ARE
TAKEN FROM QUADRATIC FIELDS, FOR WHICH CALCULATIONS ARE EASY TO PERFORM.
THE MIDDLE SECTION CONSIDERS MORE GENERAL THEORY AND RESULTS FOR NUMBER
FIELDS, AND THE BOOK CONCLUDES WITH SOME TOPICS WHICH ARE MORE LIKELY TO
BE SUITABLE FOR ADVANCED STUDENTS, NAMELY, THE ANALYTIC CLASS NUMBER
FORMULA AND THE NUMBER FIELD SIEVE. THIS IS THE FIRST TIME THAT THE
NUMBER FIELD SIEVE HAS BEEN CONSIDERED IN A TEXTBOOK AT THIS LEVEL
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Jarvis, Frazer |
| author_GND | (DE-588)105430291X |
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| ctrlnum | (OCoLC)882514453 (DE-599)DNB1052532160 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-07545-7 |
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| spelling | Jarvis, Frazer Verfasser (DE-588)105430291X aut Algebraic number theory Frazer Jarvis Cham [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer undergraduate mathematics series Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s 1\p DE-604 https://doi.org/10.1007/978-3-319-07545-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027437451&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027437451&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jarvis, Frazer Algebraic number theory Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
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| title_full | Algebraic number theory Frazer Jarvis |
| title_fullStr | Algebraic number theory Frazer Jarvis |
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| title_short | Algebraic number theory |
| title_sort | algebraic number theory |
| topic | Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Algebraische Zahlentheorie |
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