Undergraduate Commutative Algebra pdf epub mobi txt 电子书下载 2024

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Reid, Miles

Cambridge University Press

1995-11

168

$ 47.46

Pap

London Mathematical Society Student Texts

9780521458894

图书标签: 数学其余代数7 ma commutative_algebra Mathematics

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发表于2024-12-28

Undergraduate Commutative Algebra epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Undergraduate Commutative Algebra pdf epub mobi txt 电子书下载 2024

图书描述

Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.

Undergraduate Commutative Algebra 下载 mobi epub pdf txt 电子书