Commutative Algebra: with a View Toward Algebraic Geometry: 150 (Graduate Texts in Mathematics) - Hardcover

Eisenbud, David

Hardcover

ISBN 10: 0387942688 ISBN 13: 9780387942681

Verlag: Springer, 1995

Inhaltsangabe

<P>THIS IS A COMPREHENSIVE REVIEW OF COMMUTATIVE ALGEBRA, FROM LOCALIZATION AND PRIMARY DECOMPOSITION THROUGH DIMENSION THEORY, HOMOLOGICAL METHODS, FREE RESOLUTIONS AND DUALITY, EMPHASIZING THE ORIGINS OF THE IDEAS AND THEIR CONNECTIONS WITH OTHER PARTS OF MATHEMATICS. THE BOOK GIVES A CONCISE TREATMENT OF GROBNER BASIS THEORY AND THE CONSTRUCTIVE METHODS IN COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY THAT FLOW FROM IT. MANY EXERCISES INCLUDED.</P>

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Críticas:

D. Eisenbud

Commutative Algebra with a View Toward Algebraic Geometry

"This text has personality―Those familiar with Eisenbud"s own research will recognize its traces in his choice of topics and manner of approach. The book conveys infectious enthusiasm and the conviction that research in the field is active and yet accessible."―MATHEMATICAL REVIEWS

Reseña del editor:

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 1995
• ISBN 10: 0387942688
• ISBN 13: 9780387942681
• Einband: Tapa dura
• Anzahl der Seiten: 820