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Cover: 9780817645229 | Advanced Algebra | Anthony W. Knapp | Buch | Cornerstones | xxv | 2007
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Advanced Algebra
Buch von Anthony W. Knapp
Sprache: Englisch

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Beschreibung
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Together the two books give the reader a global view of algebra, its role in mathematics as a whole and are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Together the two books give the reader a global view of algebra, its role in mathematics as a whole and are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.
Zusammenfassung

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. The focus is on algebraic number theory and algebraic geometry, and the distinctions and influences of each topic on the other. Material vital to the knowledge of the professional mathematician is presented. Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. Together the two books give the reader a global view of algebra and its role in mathematics as a whole. They are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.

Inhaltsverzeichnis
Transition to Modern Number Theory.- Wedderburn-Artin Ring Theory.- Brauer Group.- Homological Algebra.- Three Theorems in Algebraic Number Theory.- Reinterpretation with Adeles and Ideles.- Infinite Field Extensions.- Background for Algebraic Geometry.- The Number Theory of Algebraic Curves.- Methods of Algebraic Geometry.
Details
Erscheinungsjahr: 2007
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Cornerstones
Inhalt: xxv
730 S.
46 s/w Illustr.
730 p. 46 illus.
ISBN-13: 9780817645229
ISBN-10: 0817645225
Sprache: Englisch
Herstellernummer: 11560722
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Knapp, Anthony W.
Hersteller: Birkh„user Boston
Birkhäuser Boston
Cornerstones
Maße: 241 x 160 x 46 mm
Von/Mit: Anthony W. Knapp
Erscheinungsdatum: 26.11.2007
Gewicht: 1,285 kg
Artikel-ID: 102145714
Zusammenfassung

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. The focus is on algebraic number theory and algebraic geometry, and the distinctions and influences of each topic on the other. Material vital to the knowledge of the professional mathematician is presented. Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. Together the two books give the reader a global view of algebra and its role in mathematics as a whole. They are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.

Inhaltsverzeichnis
Transition to Modern Number Theory.- Wedderburn-Artin Ring Theory.- Brauer Group.- Homological Algebra.- Three Theorems in Algebraic Number Theory.- Reinterpretation with Adeles and Ideles.- Infinite Field Extensions.- Background for Algebraic Geometry.- The Number Theory of Algebraic Curves.- Methods of Algebraic Geometry.
Details
Erscheinungsjahr: 2007
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Cornerstones
Inhalt: xxv
730 S.
46 s/w Illustr.
730 p. 46 illus.
ISBN-13: 9780817645229
ISBN-10: 0817645225
Sprache: Englisch
Herstellernummer: 11560722
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Knapp, Anthony W.
Hersteller: Birkh„user Boston
Birkhäuser Boston
Cornerstones
Maße: 241 x 160 x 46 mm
Von/Mit: Anthony W. Knapp
Erscheinungsdatum: 26.11.2007
Gewicht: 1,285 kg
Artikel-ID: 102145714
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