A Course In Algebraic Number Theory
by Robert B. Ash
Publisher: University of Illinois 2003
Number of pages: 108
Description:
This is a text for a basic course in algebraic number theory, written to provide reasonable coverage for a one-semester course. The text covers the general theory of factorization of ideals in Dedekind domains, detailed calculations illustrating the use of Kummer’s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc. A standard graduate course in algebra is assumed as prerequisite.
Download or read it online for free here:
Download link
(3.4MB, PDF)
Similar books
Algebraic Number Theoryby J.S. Milne
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.
(17047 views)
Lectures on Field Theory and Ramification Theoryby 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.
(10718 views)
An Introduction to Algebraic Number Theoryby 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.
(10979 views)
Lectures on Siegel Modular Forms and Representation by Quadratic Formsby 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.
(8011 views)