Lectures on Topics in Algebraic Number Theory

Lectures on Topics in Algebraic Number Theory

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.

Home page url

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

Similar books

Lectures on Siegel Modular Forms and Representation by Quadratic FormsLectures 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.
(2538 views)
A Course In Algebraic Number TheoryA 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 Kummer’s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.
(9248 views)
Lectures on Field Theory and Ramification TheoryLectures 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.
(4522 views)
An Introduction to Algebraic Number TheoryAn Introduction to Algebraic Number Theory
by F. Oggier - Nanyang Technological University
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.
(4835 views)