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Lectures in abstract algebra /Nathan Jacobson

By: Contributor(s): Material type: TextTextPublisher number: Donated by Mathematics DepartmentDonated by Prof. Sanjeev AgrawalSeries: University series in higher mathematicsPublication details: New York : Van Nostrand , 1951-1964.Description: viii,323 Pages ;24 cmSubject(s): Genre/Form: DDC classification:
  • 512.89 JAC
Contents:
Theory of fields and Galois theory ; Introduction -- Finite dimensional extension fields -- Galois theory of equations -- Abelian extensions -- Structure theory of fields -- Valuation theory -- Artin-Schreier theory.
Summary: The three volume Lectures are based on Jacobson's graduate lectures on algebra at Johns Hopkins and Yale in the 1940's and early 1950's, and are very careful, comprehensive and classical in style, giving a general treatment of abstract algebra. The first volume gives a comprehensive introduction to abstract algebra and its basic concepts. The second volume deals with the theory of vector spaces, accompanied by examples and exercises. The third and final volume addresses field theory and Galois theory, and is not an easy read for the casual student, but a serious student who works at the material will be repaid for their efforts. All volumes include a considerable number of exercises are given that vary greatly in difficulty, while the texts in general are example-driven and user-friendly.
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Holdings
Item type Current library Call number Materials specified Status Notes Barcode
Mathematics Departmental Library Mathematics Departmental Library Mathematics Departmental Library 512.89 JAC (Browse shelf(Opens below)) Vol II Available M177
Mathematics Departmental Library Mathematics Departmental Library Mathematics Departmental Library 512.89 JAC (Browse shelf(Opens below)) Vol III Available Volume-III M058
Books Books SNU LIBRARY 512.89 JAC (Browse shelf(Opens below)) Available Donated by Prof. Sanjeev Agrawal G5536
Total holds: 0

Theory of fields and Galois theory ; Introduction --
Finite dimensional extension fields --
Galois theory of equations --
Abelian extensions --
Structure theory of fields --
Valuation theory --
Artin-Schreier theory.

The three volume Lectures are based on Jacobson's graduate lectures on algebra at Johns Hopkins and Yale in the 1940's and early 1950's, and are very careful, comprehensive and classical in style, giving a general treatment of abstract algebra. The first volume gives a comprehensive introduction to abstract algebra and its basic concepts. The second volume deals with the theory of vector spaces, accompanied by examples and exercises. The third and final volume addresses field theory and Galois theory, and is not an easy read for the casual student, but a serious student who works at the material will be repaid for their efforts. All volumes include a considerable number of exercises are given that vary greatly in difficulty, while the texts in general are example-driven and user-friendly.

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