By R Sivaramakrishnan

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

Coverage is split into 4 components, starting with components of quantity conception and algebra comparable to 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 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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