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The Resource A Field Guide to Algebra, by Antoine ChambertLoir, (electronic resource)
A Field Guide to Algebra, by Antoine ChambertLoir, (electronic resource)
Resource Information
The item A Field Guide to Algebra, by Antoine ChambertLoir, (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 A Field Guide to Algebra, by Antoine ChambertLoir, (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
 This unique textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians. Antoine ChambertLoir taught this book when he was Professor at École polytechnique, Palaiseau, France. He is now Professor at Université de Rennes 1
 Language

 eng
 eng
 Extent
 1 online resource (198 p.)
 Note
 Description based upon print version of record
 Contents

 Field extensions
 Roots
 Galois theory
 A bit of group theory
 Applications
 Algebraic theory of differential equations
 Isbn
 9780387269559
 Label
 A Field Guide to Algebra
 Title
 A Field Guide to Algebra
 Statement of responsibility
 by Antoine ChambertLoir
 Language

 eng
 eng
 Summary
 This unique textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians. Antoine ChambertLoir taught this book when he was Professor at École polytechnique, Palaiseau, France. He is now Professor at Université de Rennes 1
 http://library.link/vocab/creatorName
 ChambertLoir, Antoine
 Dewey number
 512/.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 IwoSbnGJ4ho
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Algebra
 Field theory (Physics)
 Number theory
 Algebra
 Field Theory and Polynomials
 Number Theory
 Commutative Rings and Algebras
 Label
 A Field Guide to Algebra, by Antoine ChambertLoir, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [189]) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Field extensions  Roots  Galois theory  A bit of group theory  Applications  Algebraic theory of differential equations
 Dimensions
 unknown
 Extent
 1 online resource (198 p.)
 Form of item
 online
 Isbn
 9780387269559
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/b138364
 Specific material designation
 remote
 System control number

 (CKB)1000000000491986
 (EBL)3062390
 (SSID)ssj0000317641
 (PQKBManifestationID)11253081
 (PQKBTitleCode)TC0000317641
 (PQKBWorkID)10294509
 (PQKB)10025747
 (SSID)ssj0000769997
 (PQKBManifestationID)12315516
 (PQKBTitleCode)TC0000769997
 (PQKBWorkID)10785295
 (PQKB)10413165
 (DEHe213)9780387269559
 (MiAaPQ)EBC3062390
 (EXLCZ)991000000000491986
 Label
 A Field Guide to Algebra, by Antoine ChambertLoir, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [189]) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Field extensions  Roots  Galois theory  A bit of group theory  Applications  Algebraic theory of differential equations
 Dimensions
 unknown
 Extent
 1 online resource (198 p.)
 Form of item
 online
 Isbn
 9780387269559
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/b138364
 Specific material designation
 remote
 System control number

 (CKB)1000000000491986
 (EBL)3062390
 (SSID)ssj0000317641
 (PQKBManifestationID)11253081
 (PQKBTitleCode)TC0000317641
 (PQKBWorkID)10294509
 (PQKB)10025747
 (SSID)ssj0000769997
 (PQKBManifestationID)12315516
 (PQKBTitleCode)TC0000769997
 (PQKBWorkID)10785295
 (PQKB)10413165
 (DEHe213)9780387269559
 (MiAaPQ)EBC3062390
 (EXLCZ)991000000000491986
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/AFieldGuidetoAlgebrabyAntoine/AIQ6m4scfeA/" 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/AFieldGuidetoAlgebrabyAntoine/AIQ6m4scfeA/">A Field Guide to Algebra, by Antoine ChambertLoir, (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>