By R Sivaramakrishnan

Many simple rules of algebra and quantity conception intertwine, making it excellent to discover either whilst. Certain Number-Theoretic Episodes in Algebra specializes in a few very important facets of interconnections among quantity thought and commutative algebra. utilizing a pedagogical method, the writer offers the conceptual foundations of commutative algebra coming up from quantity conception. Self-contained, the ebook examines occasions the place particular algebraic analogues of theorems of quantity conception can be found.

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

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Extra resources for Certain Number-Theoretic Episodes In Algebra (Chapman & Hall/CRC Pure and Applied Mathematics)

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