Logo

Lectures on the Algebraic Theory of Fields

Small book cover: Lectures on the Algebraic Theory of Fields

Lectures on the Algebraic Theory of Fields
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: B0007JFMQG
Number of pages: 228

Description:
These lecture notes on Field theory are aimed at providing the beginner with an introduction to algebraic extensions, algebraic function fields, formally real fields and valuated fields. We assume a familiarity with group theory, vector spaces and ideal theory of rings.

Download or read it online for free here:
Download link
(930KB, PDF)

Similar books

Book cover: Notes on Galois TheoryNotes on Galois Theory
by - Boston College
From the table of contents: Basic ring theory, polynomial rings; Finite fields; Extensions of rings and fields; Computing Galois groups of polynomials; Galois groups and prime ideals; Cyclotomic extensions and abelian numbers.
(3631 views)
Book cover: Galois Theory: Lectures Delivered at the University of Notre DameGalois Theory: Lectures Delivered at the University of Notre Dame
by - University of Notre Dame
The book deals with linear algebra, including fields, vector spaces, homogeneous linear equations, and determinants, extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, and more.
(879 views)
Book cover: The Elements of the Theory of Algebraic NumbersThe Elements of the Theory of Algebraic Numbers
by - The Macmillan company
It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. Many numerical examples are given.
(4600 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.
(5171 views)