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Lectures on Field Theory and Ramification Theory by Sudhir R. Ghorpade
 
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Ebooks May 28, 2022 5

Ebook Details

Author
Sudhir R. Ghorpade
Publisher
Indian Institute of Technology, Bombay 2008
These are the notes of a series of five 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.
Lectures on the Algebraic Theory of Fields by K.G. Ramanathan
 
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Ebooks May 26, 2022 3

Ebook Details

Author
K.G. Ramanathan
Publisher
Tata Institute of Fundamental Research 1956
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.
The Elements of the Theory of Algebraic Numbers by Legh Wilber Reid
 
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Ebooks May 24, 2022 2

Ebook Details

Author
Legh Wilber Reid
Publisher
The Macmillan company 1910
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.
Notes on Galois Theory by Mark Reeder
 
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Ebooks May 23, 2022 3

Ebook Details

Author
Mark Reeder
Publisher
Boston College 2012
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.
Class Field Theory by J. S. Milne
 
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Ebooks May 23, 2022 3

Ebook Details

Author
J. S. Milne
Publisher
2008
Class field theory describes the abelian extensions of a local or global field in terms of the arithmetic of the field itself. These notes contain an exposition of abelian class field theory using the algebraic/cohomological approach of Chevalley and Artin and Tate.
Fields and Galois Theory by J. S. Milne
 
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Ebooks May 21, 2022 3

Ebook Details

Author
J. S. Milne
Publisher
2008
A concise treatment of Galois theory and the theory of fields, including transcendence degrees and infinite Galois extensions. Contents: Basic definitions and results.
Lectures On Galois Cohomology of Classical Groups by
 
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Ebooks May 17, 2022 2

Ebook Details

Author
M. Kneser
Publisher
Tata Institute of Fundamental Research 1969
The main result is the Hasse principle for the one-dimensional Galois cohomology of simply connected classical groups over number fields. For most groups, this result is closely related to other types of Hasse principle. Some of these are well known, in particular those for quadratic forms.
Algebraic Equations by
 
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Ebooks May 17, 2022 2

Ebook Details

Author
George Ballard Mathews
Publisher
Cambridge University Press 1907
This tract is intended to give an account of the theory of equations according to the ideas of Galois. The conspicuous merit of this method is that it analyzes, so far as exact algebraical processes permit, the set of roots possessed by any given numerical equation. ...
 
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Ebooks May 11, 2022 7

Ebook Details

Author
Miles Reid
Publisher
University of Warwick 2004
The course will discuss the problem of solutions of polynomial equations both in explicit terms and in terms of abstract algebraic structures. The course demonstrates the tools of abstract algebra (linear algebra, group theory, rings and ideals) as applied to a meaningful problem.
Geometry of the Quintic by Jerry Shurman
 
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Ebooks May 10, 2022 6

Ebook Details

Author
Jerry Shurman
Publisher
Wiley-Interscience 1997
The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem -- solving the quintic. 
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