Logo

Lectures on Topics in Algebraic Number Theory

Small book cover: Lectures on Topics in Algebraic Number Theory

Lectures on Topics in Algebraic Number Theory
by

Publisher: Indian Institute of Technology, Bombay
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.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Notes on the Theory of Algebraic NumbersNotes on the Theory of Algebraic Numbers
by - 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.
(8377 views)
Book cover: Algebraic Number TheoryAlgebraic Number Theory
by
Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.
(19221 views)
Book cover: Lectures on Siegel Modular Forms and Representation by Quadratic FormsLectures on Siegel Modular Forms and Representation by Quadratic Forms
by - 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.
(8957 views)
Book cover: Lectures on Field Theory and Ramification TheoryLectures on Field Theory and Ramification Theory
by - 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.
(12001 views)