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- DescriptionThe 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 tions 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 of interest 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.
- Author(s)N. Jacobson
- PublisherSpringer-Verlag New York Inc.
- Date of Publication01/01/1964
- Series TitleGraduate Texts in Mathematics
- Series Part/Volume Number32
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight775 g
- Width155 mm
- Height235 mm
- Spine18 mm
- Edition StatementSoftcover reprint of the original 1st ed. 1964
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