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Computational Algebraic Geometry
Taschenbuch von Hal Schenck
Sprache: Englisch

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Beschreibung
Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.
Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.
Inhaltsverzeichnis
Preface; 1. Basics of commutative algebra; 2. Projective space and graded objects; 3. Free resolutions and regular sequences; 4. Gröbner bases; 5. Combinatorics and topology; 6. Functors: localization, hom, and tensor; 7. Geometry of points; 8. Homological algebra, derived functors; 9. Curves, sheaves and cohomology; 10. Projective dimension; A. Abstract algebra primer; B. Complex analysis primer; Bibliography.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521536509
ISBN-10: 0521536502
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Schenck, Hal
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 229 x 152 x 12 mm
Von/Mit: Hal Schenck
Erscheinungsdatum: 25.11.2010
Gewicht: 0,346 kg
Artikel-ID: 123686173
Inhaltsverzeichnis
Preface; 1. Basics of commutative algebra; 2. Projective space and graded objects; 3. Free resolutions and regular sequences; 4. Gröbner bases; 5. Combinatorics and topology; 6. Functors: localization, hom, and tensor; 7. Geometry of points; 8. Homological algebra, derived functors; 9. Curves, sheaves and cohomology; 10. Projective dimension; A. Abstract algebra primer; B. Complex analysis primer; Bibliography.
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521536509
ISBN-10: 0521536502
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Schenck, Hal
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 229 x 152 x 12 mm
Von/Mit: Hal Schenck
Erscheinungsdatum: 25.11.2010
Gewicht: 0,346 kg
Artikel-ID: 123686173
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