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9780387947532

Field and Galois Theory

by
  • ISBN13:

    9780387947532

  • ISBN10:

    0387947531

  • Format: Hardcover
  • Copyright: 1996-08-01
  • Publisher: Springer Verlag
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List Price: $89.99

Summary

The purpose of this book is twofold. First, it is written to be a textbook for a graduate level course on Galois theory or field theory. Second, it is designed to be a reference for researchers who need to know field theory. The book is written at the level of students who have familiarity with the basic concepts of group, ring, vector space theory, including the Sylow theorems, factorization in polynomial rings, and theorems about bases of vector spaces. This book has a large number of examples and exercises, a large number of topics covered, and complete proofs given for the stated results. To help readers grasp field.

Table of Contents

Galois Theory
Some Galois Extensions
Applications of Galois Theory
Infinite Algebraic Extensions
Transcendental Extensions
Ring Theory
Set Theory
Group Theory
Vector Spaces
Topology
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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