**Lectures on Topics in Algebraic Number Theory**

by Sudhir R. Ghorpade

**Publisher**: Indian Institute of Technology, Bombay 2002**Number of pages**: 83

**Description**:

These lectures are aimed at giving 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.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**A Course In Algebraic Number Theory**

by

**Robert B. Ash**-

**University of Illinois**

Basic course in algebraic number theory. It covers the general theory of factorization of ideals in Dedekind domains, the use of Kummerâ€™s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.

(

**14618**views)

**Lectures on Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**9252**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.

(

**5990**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.

(

**6658**views)