عنوان

Commutative Algebra: Constructive Methods

شابک

978 94 017 9943 0

کد کشور

IR

شماره

10427

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Commutative Algebra: Constructive Methods

نام عام مواد

[Book]

ساير اطلاعات عنواني

:finite projective modules

نام ساير پديدآوران

/ Henri Lombardi, Claude Quitte

محل نشرو پخش و غیره

NEW YORK

نام ناشر، پخش کننده و غيره

: Springer

تاریخ نشرو بخش و غیره

, 2015.

نام خاص و کميت اثر

2 v.

عنوان فروست

(Volume

ساير اطلاعات عنواني

: 20)

متن يادداشت

Language: انگلیسی

متن يادداشت

Print

متن يادداشت

Bibliography

متن يادداشت

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Pruس‍fer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors, and theoretical computer scientists.Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prufer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.

موضوع مستند نشده

Review: "The book has over 350 well-arranged exercises, together with helpful hints for solution. ... Many methods, like lazy evaluation and dynamic evaluation, are discussed in great detail. ... There is a detailed flow chart on chapter dependencies and the order in which chapters should be read. ... The book will be useful for graduate students, as well as researchers, instructors, and theoretical computer scientists." (Naga Narayanaswamy, Computing Reviews, February, 2016) "The book under review is the faithful English translation of the original French edition published in 2011 under the same title. ... No doubt, the English edition ... will certainly increase both its international significance and its wider popularity among graduate students, researchers, instructors, and interested scientists in general." (Werner Kleinert, zbMATH 1327.13001, 2016)

اصطلاح موضوعی

Lombardi, Henri

اصطلاح موضوعی

Quitte, Claude

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Lombardi, Henri

مستند نام اشخاص تاييد نشده

Commutative algebra

مستند نام اشخاص تاييد نشده

Algebra

مستند نام اشخاص تاييد نشده

MATHEMATICS / Algebra / Abstract

مستند نام تنالگان تاييد نشده

000

مستند نام تنالگان تاييد نشده

000

کشور

ایران

وضعیت فهرست نویسی

old catalog

فرمت انتشار

p

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y