Lectures in Abstract Algebra

III. Theory of Fields and Galois Theory

By:

N. Jacobson

Format:

Paperback / softback

Series:

Graduate Texts in Mathematics,

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Description

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 dimen 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 ofinterest in number theory. A second objective of our ac count has been to indicate the links between the present theory of fields and the classical problems which led to its development.

Release date Australia

January 1st, 1964

Author

N. Jacobson

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1964

Illustrations

XII, 324 p.

Pages

324

Series

Graduate Texts in Mathematics,

Dimensions

155x235x18

ISBN-13

9780387901244

Product ID

10202233

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