mathematical structures (sets, functions), as well as some basic number theory such as. the class field theory on which 1 make further.
The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. Gauss considered the ring \( \mathbb ) \). John Stillwell, Elements of Number Theory (Springer 2002). Springer Science & Business Media, Mathematics - 357 pages. To develop this basic number theory on 312 pages efforts a maximum of concentration on the main features. The first goal of algebraic number theory is the generalization of the theorem on the unique representation of natural numbers as products of prime numbers to algebraic numbers. The spirit of the book is the idea that all this is asic number theory' about which elevates the edifice of the theory of automorphic forms and representations and other theories. It is customary to assume basic concepts of algebra (up to, say, Galois theory) in writing a textbook of algebraic number theory.
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