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Commutative Algebra

Name: Commutative Algebra
Brand: Springer-Verlag New York Inc.
SKU: 9780387942698
Price: 48.93 EUR
Availability: InStock

with a View Toward Algebraic Geometry

Autor: J. H. Ewing

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag New York Inc.

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-18 dní

48.93 €

This is a comprehensive review of commutative algebra, from localization and primary decomposition t...

Informácie o knihe

Autor

J. H. Ewing

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

1999

Stránok

800

EAN

9780387942698

ISBN

0387942696

Enbook ID

04066987

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

1220

Rozmery

235 x 158 x 46

Kompletný popis

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.Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry.§The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text.§One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included.§This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text.