Logo

An Introduction to Algebraic Number Theory

Small book cover: An Introduction to Algebraic Number Theory

An Introduction to Algebraic Number Theory
by

Publisher: Nanyang Technological University
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.

Home page url

Download or read it online for free here:
Download link
(560KB, PDF)

Similar books

Book cover: A Course In Algebraic Number TheoryA Course In Algebraic Number Theory
by - 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.
(16190 views)
Book cover: Lectures on Topics in Algebraic Number TheoryLectures on Topics in Algebraic Number Theory
by - Indian Institute of Technology, Bombay
These lecture notes give 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.
(10551 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.
(7798 views)
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.
(7166 views)