Download E-books Certain Number-Theoretic Episodes In Algebra (Chapman & Hall/CRC Pure and Applied Mathematics) PDF

By R Sivaramakrishnan

Many uncomplicated principles 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 vital points of interconnections among quantity conception and commutative algebra. utilizing a pedagogical technique, the writer provides the conceptual foundations of commutative algebra coming up from quantity concept. Self-contained, the e-book examines occasions the place specific algebraic analogues of theorems of quantity thought can be found.

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

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