**Notes on the Theory of Algebraic Numbers**

by Steve Wright

**Publisher**: arXiv 2015**Number of pages**: 127

**Description**:

This is a series of lecture notes on the elementary theory of algebraic numbers, using only knowledge of a first-semester graduate course in algebra (primarily groups and rings). No prerequisite knowledge of fields is required.

Download or read it online here:

**Download link**

(710KB, PDF)

## Similar books

**Lectures on Topics in Algebraic Number Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These lecture notes give a rapid introduction to some basic aspects of Algebraic Number Theory with as few prerequisites as possible. Topics: Field Extensions; Ring Extensions; Dedekind Domains and Ramification Theory; Class Number and Lattices.

(

**4974**views)

**Lectures on Siegel Modular Forms and Representation by Quadratic Forms**

by

**Y. Kitaoka**-

**Tata Institute of Fundamental Research**

This book is concerned with the problem of representation of positive definite quadratic forms by other such forms. From the table of contents: Preface; Fourier Coefficients of Siegel Modular Forms; Arithmetic of Quadratic Forms.

(

**2533**views)

**Complex Multiplication**

by

**J. S. Milne**

These are preliminary notes for a modern account of the theory of complex multiplication. The reader is expected to have a good knowledge of basic algebraic number theory, and basic algebraic geometry, including abelian varieties.

(

**5083**views)

**Introduction to Algebraic Number Theory**

by

**William Stein**-

**University of Washington**

Topics in this book: Rings of integers of number fields; Unique factorization of ideals in Dedekind domains; Structure of the group of units of the ring of integers; Finiteness of the group of equivalence classes of ideals of the ring of integers...

(

**6480**views)