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The Resource Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource)
Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource)
Resource Information
The item Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 The present textbook is a lively, problemoriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems.  Stefan Porubsky, Mathematical Reviews
 Language

 eng
 eng
 Edition
 1st ed. 2008.
 Extent
 1 online resource (342 p.)
 Note
 Includes indexes
 Contents

 Ordered Fields and Real Fields
 Hilbert's Seventeenth Problem and the Real Nullstellensatz
 Orders and Quadratic Forms
 Absolute Values on Fields
 Residue Class Degree and Ramification Index
 Local Fields
 Witt Vectors
 The Tsen Rank of a Field
 Fundamentals of Modules
 Wedderburn Theory
 Crossed Products
 The Brauer Group of a Local Field
 Local Class Field Theory
 Semisimple Representations of Finite Groups
 The Schur Group of a Field
 Isbn
 9780387724881
 Label
 Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics
 Title
 Algebra
 Title remainder
 Volume II: Fields with Structure, Algebras and Advanced Topics
 Statement of responsibility
 by Falko Lorenz
 Language

 eng
 eng
 Summary
 The present textbook is a lively, problemoriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems.  Stefan Porubsky, Mathematical Reviews
 http://library.link/vocab/creatorName
 Lorenz, Falko
 Dewey number
 512
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 gElmtphHXno
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Algebra
 Field theory (Physics)
 Matrix theory
 Number theory
 Algebra
 Commutative Rings and Algebras
 Field Theory and Polynomials
 Linear and Multilinear Algebras, Matrix Theory
 Number Theory
 Label
 Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource)
 Note
 Includes indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Ordered Fields and Real Fields  Hilbert's Seventeenth Problem and the Real Nullstellensatz  Orders and Quadratic Forms  Absolute Values on Fields  Residue Class Degree and Ramification Index  Local Fields  Witt Vectors  The Tsen Rank of a Field  Fundamentals of Modules  Wedderburn Theory  Crossed Products  The Brauer Group of a Local Field  Local Class Field Theory  Semisimple Representations of Finite Groups  The Schur Group of a Field
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (342 p.)
 Form of item
 online
 Isbn
 9780387724881
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387724881
 Specific material designation
 remote
 System control number

 (CKB)1000000000491934
 (EBL)3062954
 (SSID)ssj0000316125
 (PQKBManifestationID)11207694
 (PQKBTitleCode)TC0000316125
 (PQKBWorkID)10264168
 (PQKB)10078675
 (DEHe213)9780387724881
 (MiAaPQ)EBC3062954
 (EXLCZ)991000000000491934
 Label
 Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource)
 Note
 Includes indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Ordered Fields and Real Fields  Hilbert's Seventeenth Problem and the Real Nullstellensatz  Orders and Quadratic Forms  Absolute Values on Fields  Residue Class Degree and Ramification Index  Local Fields  Witt Vectors  The Tsen Rank of a Field  Fundamentals of Modules  Wedderburn Theory  Crossed Products  The Brauer Group of a Local Field  Local Class Field Theory  Semisimple Representations of Finite Groups  The Schur Group of a Field
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (342 p.)
 Form of item
 online
 Isbn
 9780387724881
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387724881
 Specific material designation
 remote
 System control number

 (CKB)1000000000491934
 (EBL)3062954
 (SSID)ssj0000316125
 (PQKBManifestationID)11207694
 (PQKBTitleCode)TC0000316125
 (PQKBWorkID)10264168
 (PQKB)10078675
 (DEHe213)9780387724881
 (MiAaPQ)EBC3062954
 (EXLCZ)991000000000491934
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



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Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AlgebraVolumeIIFieldswithStructure/tgnLdIR60rU/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AlgebraVolumeIIFieldswithStructure/tgnLdIR60rU/">Algebra : Volume II: Fields with Structure, Algebras and Advanced Topics, by Falko Lorenz, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>