£36.41

Cambridge University Press Cambridge Undergraduate Commutative Algebra Textbook

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Description

Master the fundamental connections between algebra, number theory, and algebraic geometry with this specialized textbook from Cambridge University Press. Part of the London Mathematical Society Student Texts series, this volume is designed specifically for advanced undergraduate or beginning graduate students who already possess a foundational understanding of rings and fields. This book offers an affordable way to study complex mathematical concepts through clear illustrations and detailed explanations. It covers essential algebraic notions, including the ascending chain condition and generators of modules. A primary focus is the development of the geometric view of a commutative ring, treating it as the ring of functions on a space. By starting with the Nullstellensatz, the text establishes a direct link between the geometry of a variety V and its corresponding algebra, providing a solid framework for students pursuing higher-level mathematics.

Key Features

Designed for advanced undergraduate and beginning graduate students with prior experience in rings and fields.

Provides a clear geometric perspective by treating a commutative ring as the ring of functions on a space.

Explores the fundamental connections between algebra, number theory, and algebraic geometry.

Includes detailed coverage of standard algebraic notions like generators of modules and the ascending chain condition.

Uses the Nullstellensatz to create a strong link between the algebra and the geometry of a variety V.

Part of the respected London Mathematical Society Student Texts series (Number 29).

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
12 October 2010
Listed Since
04 January 2007

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