Certain Number-Theoretic Episodes in Algebra (BOK)

R Sivaramakrishnan

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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.


Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2006 Forfatter R Sivaramakrishnan
Taylor & Francis
ISBN 9780824758950
Antall sider 632 Dimensjoner 15,4cm x 24cm x 4,1cm
Vekt 1048 gram Leverandør Bertram Trading Ltd