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The Resource Galois Theory, by Joseph Rotman, (electronic resource)
Galois Theory, by Joseph Rotman, (electronic resource)
Resource Information
The item Galois Theory, by Joseph Rotman, (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 Galois Theory, by Joseph Rotman, (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 first edition aimed to give a geodesic path to the Fundamental Theorem of Galois Theory, and I still think its brevity is valuable. Alas, the book is now a bit longer, but I feel that the changes are worthwhile. I began by rewriting almost all the text, trying to make proofs clearer, and often giving more details than before. Since many students find the road to the Fundamental Theorem an intricate one, the book now begins with a short section on symmetry groups of polygons in the plane; an analogy of polygons and their symmetry groups with polynomials and their Galois groups can serve as a guide by helping readers organize the various definitions and constructions. The exposition has been reorganized so that the discussion of solvability by radicals now appears later; this makes the proof of the AbelRuffini theo rem easier to digest. I have also included several theorems not in the first edition. For example, the Casus Irreducibilis is now proved, in keeping with a historical interest lurking in these pages
 Language

 eng
 eng
 Edition
 Second Edition.
 Extent
 1 online resource (XIV, 176 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Symmetry
 Rings
 Domains and Fields
 Homomorphisms and Ideals
 Quotient Rings
 Polynomial Rings over Fields
 Prime Ideals and Maximal Ideals
 Irreducible Polynomials
 Classical Formulas
 Splitting Fields
 The Galois Group
 Roots of Unity
 Solvability by Radicals
 Independence of Characters
 Galois Extensions
 The Fundamental Theorem of Galois Theory
 Applications
 Galois’s Great Theorem
 Discriminants
 Galois Groups of Quadratics, Cubics, and Quartics
 Epilogue
 Appendix A: Group Theory Dictionary
 Appendix B: Group Theory Used in the Text
 Appendix C: RulerCompass Constructions
 Appendix D: Oldfashioned Galois Theory
 References
 Isbn
 9781461206170
 Label
 Galois Theory
 Title
 Galois Theory
 Statement of responsibility
 by Joseph Rotman
 Language

 eng
 eng
 Summary
 The first edition aimed to give a geodesic path to the Fundamental Theorem of Galois Theory, and I still think its brevity is valuable. Alas, the book is now a bit longer, but I feel that the changes are worthwhile. I began by rewriting almost all the text, trying to make proofs clearer, and often giving more details than before. Since many students find the road to the Fundamental Theorem an intricate one, the book now begins with a short section on symmetry groups of polygons in the plane; an analogy of polygons and their symmetry groups with polynomials and their Galois groups can serve as a guide by helping readers organize the various definitions and constructions. The exposition has been reorganized so that the discussion of solvability by radicals now appears later; this makes the proof of the AbelRuffini theo rem easier to digest. I have also included several theorems not in the first edition. For example, the Casus Irreducibilis is now proved, in keeping with a historical interest lurking in these pages
 http://library.link/vocab/creatorName
 Rotman, Joseph
 Dewey number
 512/.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 QAIGGmhlNN8
 Image bit depth
 0
 Language note
 English
 LC call number
 QA174183
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Group theory
 Group Theory and Generalizations
 Label
 Galois Theory, by Joseph Rotman, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Symmetry  Rings  Domains and Fields  Homomorphisms and Ideals  Quotient Rings  Polynomial Rings over Fields  Prime Ideals and Maximal Ideals  Irreducible Polynomials  Classical Formulas  Splitting Fields  The Galois Group  Roots of Unity  Solvability by Radicals  Independence of Characters  Galois Extensions  The Fundamental Theorem of Galois Theory  Applications  Galois’s Great Theorem  Discriminants  Galois Groups of Quadratics, Cubics, and Quartics  Epilogue  Appendix A: Group Theory Dictionary  Appendix B: Group Theory Used in the Text  Appendix C: RulerCompass Constructions  Appendix D: Oldfashioned Galois Theory  References
 Dimensions
 unknown
 Edition
 Second Edition.
 Extent
 1 online resource (XIV, 176 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461206170
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461206170
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089202
 (SSID)ssj0000806402
 (PQKBManifestationID)11956323
 (PQKBTitleCode)TC0000806402
 (PQKBWorkID)10766420
 (PQKB)10836309
 (DEHe213)9781461206170
 (MiAaPQ)EBC3074090
 (EXLCZ)993400000000089202
 Label
 Galois Theory, by Joseph Rotman, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Symmetry  Rings  Domains and Fields  Homomorphisms and Ideals  Quotient Rings  Polynomial Rings over Fields  Prime Ideals and Maximal Ideals  Irreducible Polynomials  Classical Formulas  Splitting Fields  The Galois Group  Roots of Unity  Solvability by Radicals  Independence of Characters  Galois Extensions  The Fundamental Theorem of Galois Theory  Applications  Galois’s Great Theorem  Discriminants  Galois Groups of Quadratics, Cubics, and Quartics  Epilogue  Appendix A: Group Theory Dictionary  Appendix B: Group Theory Used in the Text  Appendix C: RulerCompass Constructions  Appendix D: Oldfashioned Galois Theory  References
 Dimensions
 unknown
 Edition
 Second Edition.
 Extent
 1 online resource (XIV, 176 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461206170
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461206170
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089202
 (SSID)ssj0000806402
 (PQKBManifestationID)11956323
 (PQKBTitleCode)TC0000806402
 (PQKBWorkID)10766420
 (PQKB)10836309
 (DEHe213)9781461206170
 (MiAaPQ)EBC3074090
 (EXLCZ)993400000000089202
Library Locations

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



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

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/GaloisTheorybyJosephRotmanelectronic/40xgZ0agX4/" 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/GaloisTheorybyJosephRotmanelectronic/40xgZ0agX4/">Galois Theory, by Joseph Rotman, (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>