Logo

Notes on the Theory of Algebraic Numbers

Small book cover: Notes on the Theory of Algebraic Numbers

Notes on the Theory of Algebraic Numbers
by

Publisher: arXiv
Number of pages: 127

Description:
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.

Home page url

Download or read it online for free here:
Download link
(710KB, PDF)

Similar books

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.
(10169 views)
Book cover: An Introduction to Algebraic Number TheoryAn Introduction to Algebraic Number Theory
by - 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.
(10517 views)
Book cover: Introduction to Algebraic Number TheoryIntroduction to Algebraic Number Theory
by - University of Washington
Topics in this book: Rings of integers of number fields; Unique factorization of ideals in Dedekind domains; Structure of the group of units of the ring of integers; Finiteness of the group of equivalence classes of ideals of the ring of integers...
(12276 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.
(10321 views)