Algebra: chapter 0:
"Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introd...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2009]
|
| Schriftenreihe: | Graduate studies in mathematics
volume 104 |
| Schlagworte: | |
| Zusammenfassung: | "Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references."--Jacket |
| Beschreibung: | Includes index |
| Beschreibung: | xix, 713 Seiten Illustrationen |
| ISBN: | 9780821847817 1470411687 |
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| 100 | 1 | |a Aluffi, Paolo |d 1960- |e Verfasser |0 (DE-588)13923005X |4 aut | |
| 245 | 1 | 0 | |a Algebra: chapter 0 |c Paolo Aluffi |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2009] | |
| 300 | |a xix, 713 Seiten |b Illustrationen | ||
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| 490 | 1 | |a Graduate studies in mathematics |v volume 104 | |
| 500 | |a Includes index | ||
| 505 | 8 | |a Preliminaries: set theory and categories -- Groups, first encounter -- Rings and modules -- Groups, second encounter -- Irreducibility and factorization in integral domains -- Linear algebra -- Fields -- Linear algebra, reprise -- Homological algebra | |
| 520 | 3 | |a "Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references."--Jacket | |
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Datensatz im Suchindex
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| author | Aluffi, Paolo 1960- |
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| author_sort | Aluffi, Paolo 1960- |
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| building | Verbundindex |
| bvnumber | BV047689655 |
| classification_tum | MAT 110f |
| contents | Preliminaries: set theory and categories -- Groups, first encounter -- Rings and modules -- Groups, second encounter -- Irreducibility and factorization in integral domains -- Linear algebra -- Fields -- Linear algebra, reprise -- Homological algebra |
| ctrlnum | (OCoLC)698972279 (DE-599)BVBBV047689655 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV047689655 |
| illustrated | Illustrated |
| index_date | 2024-07-03T18:57:06Z |
| indexdate | 2024-07-10T09:19:16Z |
| institution | BVB |
| isbn | 9780821847817 1470411687 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033073667 |
| oclc_num | 698972279 |
| open_access_boolean | |
| owner | DE-20 |
| owner_facet | DE-20 |
| physical | xix, 713 Seiten Illustrationen |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Aluffi, Paolo 1960- Verfasser (DE-588)13923005X aut Algebra: chapter 0 Paolo Aluffi Providence, Rhode Island American Mathematical Society [2009] xix, 713 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics volume 104 Includes index Preliminaries: set theory and categories -- Groups, first encounter -- Rings and modules -- Groups, second encounter -- Irreducibility and factorization in integral domains -- Linear algebra -- Fields -- Linear algebra, reprise -- Homological algebra "Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references."--Jacket Algebra (DE-588)4001156-2 gnd rswk-swf Algebra / Textbooks MATHEMATICS / Algebra / Intermediate Algebra Electronic books Textbooks Algebra (DE-588)4001156-2 s DE-604 Erscheint auch als Aluffi, Paolo, 1960- Algebra : chapter 0 Providence, Rhode Island : American Mathematical Society, ©2009 xix, 713 pages Graduate studies in mathematics ; Volume 104 Druck-Ausgabe Graduate studies in mathematics volume 104 (DE-604)BV044714883 104 |
| spellingShingle | Aluffi, Paolo 1960- Algebra: chapter 0 Graduate studies in mathematics Preliminaries: set theory and categories -- Groups, first encounter -- Rings and modules -- Groups, second encounter -- Irreducibility and factorization in integral domains -- Linear algebra -- Fields -- Linear algebra, reprise -- Homological algebra Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 |
| title | Algebra: chapter 0 |
| title_auth | Algebra: chapter 0 |
| title_exact_search | Algebra: chapter 0 |
| title_exact_search_txtP | Algebra: chapter 0 |
| title_full | Algebra: chapter 0 Paolo Aluffi |
| title_fullStr | Algebra: chapter 0 Paolo Aluffi |
| title_full_unstemmed | Algebra: chapter 0 Paolo Aluffi |
| title_short | Algebra: chapter 0 |
| title_sort | algebra chapter 0 |
| topic | Algebra (DE-588)4001156-2 gnd |
| topic_facet | Algebra |
| volume_link | (DE-604)BV044714883 |
| work_keys_str_mv | AT aluffipaolo algebrachapter0 |