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Cover: 9783642266324 | A Course in Commutative Algebra | Gregor Kemper | Taschenbuch | xii
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A Course in Commutative Algebra
Taschenbuch von Gregor Kemper
Sprache: Englisch

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Beschreibung
This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.
This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.
Über den Autor
The author is professor of algorithmic algebra at the Technische Universität München, in Munich. He regularly teaches courses in commutative algebra, invariant theory, and computer algebra. In 2007 he received an award from the state of Bavaria for excellence in teaching.
Zusammenfassung

Excellently written textbook in commutative algebra Book makes getting into the subject easier for students than with existing works Many illustrative examples and exercises

Includes supplementary material: [...]

Request lecturer material: [...]

Inhaltsverzeichnis
Introduction.- Part I The Algebra Geometry Lexicon: 1 Hilbert's Nullstellensatz; 2 Noetherian and Artinian Rings; 3 The Zariski Topology; 4 A Summary of the Lexicon.- Part II Dimension: 5 Krull Dimension and Transcendence Degree; 6 Localization; 7 The Principal Ideal Theorem; 8 Integral Extensions.- Part III Computational Methods: 9 Gröbner Bases; 10 Fibers and Images of Morphisms Revisited; 11 Hilbert Series and Dimension.- Part IV Local Rings: 12 Dimension Theory; 13 Regular Local Rings; 14 Rings of Dimension One.- References.- Notation.- Index.
Details
Erscheinungsjahr: 2013
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
248 S.
ISBN-13: 9783642266324
ISBN-10: 3642266320
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kemper, Gregor
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Graduate Texts in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 15 mm
Von/Mit: Gregor Kemper
Erscheinungsdatum: 27.01.2013
Gewicht: 0,4 kg
Artikel-ID: 106080111
Über den Autor
The author is professor of algorithmic algebra at the Technische Universität München, in Munich. He regularly teaches courses in commutative algebra, invariant theory, and computer algebra. In 2007 he received an award from the state of Bavaria for excellence in teaching.
Zusammenfassung

Excellently written textbook in commutative algebra Book makes getting into the subject easier for students than with existing works Many illustrative examples and exercises

Includes supplementary material: [...]

Request lecturer material: [...]

Inhaltsverzeichnis
Introduction.- Part I The Algebra Geometry Lexicon: 1 Hilbert's Nullstellensatz; 2 Noetherian and Artinian Rings; 3 The Zariski Topology; 4 A Summary of the Lexicon.- Part II Dimension: 5 Krull Dimension and Transcendence Degree; 6 Localization; 7 The Principal Ideal Theorem; 8 Integral Extensions.- Part III Computational Methods: 9 Gröbner Bases; 10 Fibers and Images of Morphisms Revisited; 11 Hilbert Series and Dimension.- Part IV Local Rings: 12 Dimension Theory; 13 Regular Local Rings; 14 Rings of Dimension One.- References.- Notation.- Index.
Details
Erscheinungsjahr: 2013
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
248 S.
ISBN-13: 9783642266324
ISBN-10: 3642266320
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kemper, Gregor
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Graduate Texts in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 235 x 155 x 15 mm
Von/Mit: Gregor Kemper
Erscheinungsdatum: 27.01.2013
Gewicht: 0,4 kg
Artikel-ID: 106080111
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