Download Certain Number-Theoretic Episodes In Algebra (Chapman & by R Sivaramakrishnan PDF

By R Sivaramakrishnan

Many simple rules of algebra and quantity concept intertwine, making it perfect to discover either whilst. Certain Number-Theoretic Episodes in Algebra makes a speciality of a few very important facets of interconnections among quantity conception and commutative algebra. utilizing a pedagogical technique, the writer provides the conceptual foundations of commutative algebra bobbing up from quantity concept. Self-contained, the publication examines occasions the place particular algebraic analogues of theorems of quantity concept can be found.

Coverage is split into 4 elements, starting with components of quantity conception and algebra resembling theorems of Euler, Fermat, and Lagrange, Euclidean domain names, and finite teams. within the moment half, the e-book info ordered fields, fields with valuation, and different algebraic buildings. this is often through a evaluation of basics of algebraic quantity conception within the 3rd half. the ultimate half explores hyperlinks with ring conception, finite dimensional algebras, and the Goldbach problem.

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