**Algebraic** **Number** **Theory** (Graduate Texts in Mathematics ...

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**Algebraic Number Theory** - Mastermath 2014

Algebraic number theory is the branch of number theory that deals with algebraic numbers. Historically, algebraic number theory developed as a set of tools for solving problems in elementary number theory, namely Diophantine equations (i.e., equations whose solutions Introduction to **Algebraic** **Number** **Theory** - William A. Stein Algebraic number theory involves using techniques from (mostly commutative) algebra and ﬁnite group theory to gain a deeper understanding of number ﬁelds. The main objects that we study in algebraic number theory are number ﬁelds, rings of integers of number ﬁelds, **Algebraic** **Number** **Theory** | Jürgen Neukirch | Springer Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner The author discusses the classical concepts from the viewpoint of Arakelov theory The treatment of class field theory is particularly rich in illustrating **Algebraic** **Number** **Theory** | Department of Mathematics

A Course in Algebraic Number Theory