**An Introduction to Algebraic Number Theory**

by F. Oggier

**Publisher**: Nanyang Technological University 2010**Number of pages**: 95

**Description**:

From the table of contents: Algebraic numbers and algebraic integers (Rings of integers, Norms and Traces); Ideals (Factorization and fractional ideals, The Chinese Theorem); Ramification theory; Ideal class group and units; p-adic numbers; Valuations;p-adic fields.

Download or read it online for free here:

**Download link**

(560KB, PDF)

## Similar books

**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.

(

**7637**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.

(

**10852**views)

**Notes on the Theory of Algebraic Numbers**

by

**Steve Wright**-

**arXiv**

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.

(

**7010**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...

(

**12343**views)