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Basic algebra. Volumes I and II

Author: Nathan Jacobson
Publisher: Mineola, N.Y. : Dover Publications, 2009.
Series: Dover books on mathematics.
Edition/Format:   Print book : English : Dover ed. [2nd ed.]
Summary:
A classic text and standard reference for a generation, these two volumes are the work of Nathan Jacobson, an expert algebraist who taught at Yale for over three decades. The books are conceptually and theoretically oriented. Volume one explores all the topics addressed in undergraduate courses, while volume two comprises all of the subjects usually covered in a first-year graduate course, revisiting and expanding  Read more...
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Document Type: Book
All Authors / Contributors: Nathan Jacobson
ISBN: 9780486471891 0486471896 9780486471877 048647187X
OCLC Number: 858672523
Notes: Reprint. Unabridged republication of the 2nd edition, originally published by W. H. Freeman and Company, San Francisco, 1985-1989.
Description: 2 volumes : illustrations ; 24 cm.
Contents: Volume I. Introduction : concepts from set theory. The integers --
Monoids and groups --
Rings --
Modules over a principal ideal domain --
Galois theory of equations --
Real polynomial equations and inequalities --
Metric vector spaces and the classical groups --
Algebras over a field --
Lattices and Boolean algebras --
Appendix. Volume II. Introduction --
Categories --
Universal algebra --
Modules --
Basic structure theory of rings --
Classical representation theory of finite groups --
Elements of homological algebra with applications --
Commutative ideal theory : general theory and noetherian rings --
Field theory --
Valuation theory --
Dedekind domains --
Formally real fields.
Series Title: Dover books on mathematics.
Responsibility: Nathan Jacobson.

Abstract:

A classic text and standard reference for a generation, these two volumes are the work of Nathan Jacobson, an expert algebraist who taught at Yale for over three decades. The books are conceptually and theoretically oriented. Volume one explores all the topics addressed in undergraduate courses, while volume two comprises all of the subjects usually covered in a first-year graduate course, revisiting and expanding on many topics from volume one. Each volume has exercises and insightful, carefully explained proofs.

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<http:\/\/www.worldcat.org\/oclc\/858672523<\/a>> # Basic algebra. Volumes I and II<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"858672523<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Place\/mineola_n_y<\/a>> ; # Mineola, N.Y.<\/span>\n\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/512.9\/e22\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/algebraic_fields<\/a>> ; # Algebraic fields<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/algebra_boolean<\/a>> ; # Algebra, Boolean<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/algebra_abstract<\/a>> ; # Algebra, Abstract<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/rings_algebra<\/a>> ; # Rings (Algebra)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/algebras_linear<\/a>> ; # Algebras, Linear<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/algebra<\/a>> ; # Algebra<\/span>\n\u00A0\u00A0\u00A0\nschema:bookEdition<\/a> \"Dover ed. [2nd ed.].<\/span>\" ;\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/108945877<\/a>> ; # Nathan Jacobson<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2009<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"A classic text and standard reference for a generation, these two volumes are the work of Nathan Jacobson, an expert algebraist who taught at Yale for over three decades. The books are conceptually and theoretically oriented. Volume one explores all the topics addressed in undergraduate courses, while volume two comprises all of the subjects usually covered in a first-year graduate course, revisiting and expanding on many topics from volume one. Each volume has exercises and insightful, carefully explained proofs.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/8912146054<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Series\/dover_books_on_mathematics<\/a>> ; # Dover books on mathematics.<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Basic algebra. Volumes I and II<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"858672523<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/858672523#PublicationEvent\/mineola_n_y_dover_publications_2009<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Agent\/dover_publications<\/a>> ; # Dover Publications<\/span>\n\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780486471891<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780486471877<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/858672523<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Place\/mineola_n_y<\/a>> # Mineola, N.Y.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mineola, N.Y.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Series\/dover_books_on_mathematics<\/a>> # Dover books on mathematics.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/858672523<\/a>> ; # Basic algebra. Volumes I and II<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Dover books on mathematics.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Dover books on mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/algebras_linear<\/a>> # Algebras, Linear<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algebras, Linear<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/8912146054#Topic\/rings_algebra<\/a>> # Rings (Algebra)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Rings (Algebra)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/viaf.org\/viaf\/108945877<\/a>> # Nathan Jacobson<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1910<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"1999<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Jacobson<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Nathan<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Nathan Jacobson<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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