Algebraic geometry and commutative algebra: Siegfried Bosch
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
Springer
[2013]
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| Series: | Universitext
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| Subjects: | |
| Online Access: | UBR01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (X, 504 Seiten) Diagramme |
| ISBN: | 9781447148296 |
| DOI: | 10.1007/978-1-4471-4829-6 |
Staff View
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Record in the Search Index
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| adam_text | ALGEBRAIC GEOMETRY AND COMMUTATIVE ALGEBRA
/ BOSCH, SIEGFRIED
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
RINGS AND MODULES
THE THEORY OF NOETHERIAN RINGS
INTEGRAL EXTENSIONS
EXTENSION OF COEFFICIENTS AND DESCENT
HOMOLOGICAL METHODS: EXT AND TOR
AFFINE SCHEMES AND BASIC CONSTRUCTIONS
TECHNIQUES OF GLOBAL SCHEMES
ETALE AND SMOOTH MORPHISMS
PROJECTIVE SCHEMES AND PROPER MORPHISMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ALGEBRAIC GEOMETRY AND COMMUTATIVE ALGEBRA
/ BOSCH, SIEGFRIED
: 2013
ABSTRACT / INHALTSTEXT
ALGEBRAIC GEOMETRY IS A FASCINATING BRANCH OF MATHEMATICS THAT COMBINES
METHODS FROM BOTH ALGEBRA AND GEOMETRY. IT TRANSCENDS THE LIMITED SCOPE
OF PURE ALGEBRA BY MEANS OF GEOMETRIC CONSTRUCTION PRINCIPLES. MOREOVER,
GROTHENDIECK’S SCHEMES INVENTED IN THE LATE 1950S ALLOWED THE
APPLICATION OF ALGEBRAIC-GEOMETRIC METHODS IN FIELDS THAT FORMERLY
SEEMED TO BE FAR AWAY FROM GEOMETRY (ALGEBRAIC NUMBER THEORY, FOR
EXAMPLE). THE NEW TECHNIQUES PAVED THE WAY TO SPECTACULAR PROGRESS SUCH
AS THE PROOF OF FERMAT’S LAST THEOREM BY WILES AND TAYLOR. THE
SCHEME-THEORETIC APPROACH TO ALGEBRAIC GEOMETRY IS EXPLAINED FOR
NON-EXPERTS WHILST MORE ADVANCED READERS CAN USE THE BOOK TO BROADEN
THEIR VIEW ON THE SUBJECT. A SEPARATE PART STUDIES THE NECESSARY
PREREQUISITES FROM COMMUTATIVE ALGEBRA. THE BOOK PROVIDES AN ACCESSIBLE
AND SELF-CONTAINED INTRODUCTION TO ALGEBRAIC GEOMETRY, UP TO AN ADVANCED
LEVEL. EVERY CHAPTER OF THE BOOK IS PRECEDED BY A MOTIVATING
INTRODUCTION WITH AN INFORMAL DISCUSSION OF THE CONTENTS. TYPICAL
EXAMPLES AND AN ABUNDANCE OF EXERCISES ILLUSTRATE EACH SECTION.
THEREFORE THE BOOK IS AN EXCELLENT SOLUTION FOR LEARNING BY YOURSELF OR
FOR COMPLEMENTING KNOWLEDGE THAT IS ALREADY PRESENT. IT CAN EQUALLY BE
USED AS A CONVENIENT SOURCE FOR COURSES AND SEMINARS OR AS SUPPLEMENTAL
LITERATURE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| bvnumber | BV040728158 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-4829-6 |
| format | Electronic eBook |
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| id | DE-604.BV040728158 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:32:38Z |
| institution | BVB |
| isbn | 9781447148296 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025708263 |
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| publishDate | 2013 |
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| spelling | Bosch, Siegfried 1944- Verfasser (DE-588)106950827 aut Algebraic geometry and commutative algebra Siegfried Bosch London Springer [2013] © 2013 1 Online-Ressource (X, 504 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier Universitext Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Kommutative Algebra (DE-588)4164821-3 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-1-4471-4828-9 https://doi.org/10.1007/978-1-4471-4829-6 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708263&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=025708263&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Bosch, Siegfried 1944- Algebraic geometry and commutative algebra Siegfried Bosch Algebraische Geometrie (DE-588)4001161-6 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4164821-3 |
| title | Algebraic geometry and commutative algebra Siegfried Bosch |
| title_auth | Algebraic geometry and commutative algebra Siegfried Bosch |
| title_exact_search | Algebraic geometry and commutative algebra Siegfried Bosch |
| title_full | Algebraic geometry and commutative algebra Siegfried Bosch |
| title_fullStr | Algebraic geometry and commutative algebra Siegfried Bosch |
| title_full_unstemmed | Algebraic geometry and commutative algebra Siegfried Bosch |
| title_short | Algebraic geometry and commutative algebra |
| title_sort | algebraic geometry and commutative algebra siegfried bosch |
| title_sub | Siegfried Bosch |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| topic_facet | Algebraische Geometrie Kommutative Algebra |
| url | https://doi.org/10.1007/978-1-4471-4829-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708263&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708263&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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