ENGLISH

Certain number-theoretic episodes in algebra

By R Sivaramakrishnan

Book information

Publisher
Chapman & Hall/CRC
Year
2007
ISBN
9780824758950, 0824758951
Open Library ID
OL8125847M
Language
english
Format
PDF
Filesize
4 MB (3782217 bytes)
Series
Pure and applied mathematics 286
Edition
1
Pages
632\632
Time added
2010-02-18 13:16:04

Description

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, the 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, the 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.

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