Lectures in abstract algebra / [Book]. volume 3, theory of fields and galois theory / Nathan Jacobson.

By: Material type: TextTextSeries: Graduate texts in mathematics ; 32Publication details: New York : Springer-Verlag, 1964.Description: 323 pages : 25 cmISBN:
  • 354090168x (v. 3)
  • 038790168x (v. 3)
Subject(s): DDC classification:
  • 512.02
Other classification:
  • 512.02
Summary: 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 dimenƯ 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 acƯ count has been to indicate the links between the present theory of fields and the classical problems which led to its development
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Item type Current library Call number Status Date due Barcode Item holds
Books Books Junaid Zaidi Library, COMSATS University Islamabad 512.02 JAC-L (Browse shelf(Opens below)) Available 1174
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Includes indexes.

Includes indexes.

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 dimenƯ 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 acƯ count has been to indicate the links between the present theory of fields and the classical problems which led to its development

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