# Galois Theory (Universitext) download epub

#### by **Steven H. Weintraub**

**Epub Book:**1613 kb. |

**Fb2 Book:**1949 kb.

The text offers the standard material of classical field theory and Galois theory, though in a remarkably original, unconventional and comprehensive manne. .

The text offers the standard material of classical field theory and Galois theory, though in a remarkably original, unconventional and comprehensive manne.It comes with its own features and advantage. t surely is a perfect introduction to this evergreen subject.

The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions. Steven H. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University

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Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure .

Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. Key topics and features of this book include: approaches Galois theory from the linear algebra point of view, following Artin; develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois Theory; presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of.

The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with . Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University

The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of. Series: Universitext.

Steven H. Weintraub Dept. MR Author ID: 181515 ORCID ID: 0000-0002-3290-363X

Steven H. MR Author ID: 181515 ORCID ID: 0000-0002-3290-363X. with W. A. Adkins) Algebra: An Approach via Module Theory, Springer-Verlag 1992, corrected second printing 1999 (Graduate Texts in Mathematics 136).

Steven H.

Start by marking Galois Theory (Universitext) as Want to Read: Want to Read savin. ant to Read. by Steven H. Weintraub. This book, his fifth, grew out of a graduate course he taught at Lehigh. His other books include Algebra: An Approach via Module Theory (with W. Adkins).

Provides excellent motivaton and examples throughout. The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers.

William A. Adkins, Steven H. Weintraub - Algebra: An Approach Via Module Theory (Graduate Texts in Mathematics).

William A. William A. Читать pdf. Weintraub - Algebra: An approach via module theory.

Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra.

Key topics and features of this book:

Approaches Galois theory from the linear algebra point of view, following Artin;

Develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galoisextensions, and the Fundamental Theorem of Galois Theory;

Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity;

Provides excellent motivaton and examples throughout.

The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions.

Steven H. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University. This book, his fifth, grew out of a graduate course he taught at Lehigh. His other books include Algebra: An Approach via Module Theory (with W. A. Adkins).

**Author:**Steven H. Weintraub

**ISBN:**0387287256

**Category:**Science & Math

**Subcategory:**Mathematics

**Language:**English

**Publisher:**Springer; 1 edition (November 23, 2005)

**Pages:**190 pages