Certain Number-theoretic Episodes in Algebra 2024 pdf epub mobi 电子书

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发表于2024-09-06

Certain Number-theoretic Episodes in Algebra 2024 pdf epub mobi 电子书

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出版者:Marcel Dekker Inc

作者:Sivaramakrishnan, R.

出品人:

页数:632

译者:

出版时间:2006-9

价格:$ 214.64

装帧:HRD

isbn号码:9780824758950

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Certain Number-theoretic Episodes in Algebra 2024 pdf epub mobi 电子书图书描述

Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. "Certain Number-Theoretic Episodes in Algebra" focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra arising from number theory. Self-contained, this book examines situations where explicit algebraic analogues of theorems of number theory are available. Coverage is divided into four parts, beginning with elements of number theory and algebra such as theorems of Euler, Fermat, and Lagrange, Euclidean domains, and finite groups. In the second part, this book details ordered fields, fields with valuation, and other algebraic structures. This is followed by a review of fundamentals of algebraic number theory in the third part. The final part explores links with ring theory, finite dimensional algebras, and the Goldbach problem.

Certain Number-theoretic Episodes in Algebra 2024 pdf epub mobi 电子书

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