Graduate Texts in Mathematics

Lectures in Abstract Algebra

III. Theory of Fields and Galois Theory

Authors: Jacobson, N.

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About this Textbook

The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II. In preparing this book we have had a number of objectives in mind. First and foremost has been that of presenting the basic field theory which is essential for an understanding of modern algebraic number theory, ring theory, and algebraic geometry. The parts of the book concerned with this aspect of the subject are Chapters I, IV, and V dealing respectively with finite dimenĀ­ sional field extensions and Galois theory, general structure theory of fields, and valuation theory. Also the results of Chapter IlIon abelian extensions, although of a somewhat specialized nature, are of interest in number theory. A second objective of our acĀ­ count has been to indicate the links between the present theory of fields and the classical problems which led to its development.

Table of contents (7 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-9872-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-0-387-90124-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lectures in Abstract Algebra
Book Subtitle
III. Theory of Fields and Galois Theory
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
32
Copyright
1964
Publisher
Springer-Verlag New York
Copyright Holder
Nathan Jacobson
eBook ISBN
978-1-4612-9872-4
DOI
10.1007/978-1-4612-9872-4
Softcover ISBN
978-0-387-90124-4
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XII, 324
Additional Information
Originally published by Van Nostrand, Princeton, NJ, 1964
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