000  02887nam a22004695i 4500  

001  9780387274751  
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007  cr nn 008mamaa  
008  100301s2005 xxu s  0eng d  
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_a9780387274751 _99780387274751 

024  7 
_a10.1007/0387274758 _2doi 

050  4  _aQA150272  
072  7 
_aPBF _2bicssc 

072  7 
_aMAT002000 _2bisacsh 

082  0  4 
_a512 _223 
100  1 
_aLang, Serge. _eauthor. 

245  1  0 
_aUndergraduate Algebra _h[electronic resource] / _cby Serge Lang. 
250  _aThird Edition.  
264  1 
_aNew York, NY : _bSpringer New York, _c2005. 

300 
_aXII, 389 p. _bonline resource. 

336 
_atext _btxt _2rdacontent 

337 
_acomputer _bc _2rdamedia 

338 
_aonline resource _bcr _2rdacarrier 

347 
_atext file _bPDF _2rda 

490  1 
_aUndergraduate Texts in Mathematics, _x01726056 

505  0  _aThe Integers  Groups  Rings  Polynomials  Vector Spaces and Modules  Some Linear Groups  Field Theory  Finite Fields  The Real and Complex Numbers  Sets.  
520  _aUndergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text. For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyderâ€™s proof of the MasonStothers polynomial abc theorem. About the First Edition: The exposition is downtoearth and at the same time very smooth. The book can be covered easily in a oneyear course and can be also used in a oneterm course...the flavor of modern mathematics is sprinkled here and there.  Hideyuki Matsumura, Zentralblatt.  
650  0  _aMathematics.  
650  0  _aAlgebra.  
650  0  _aField theory (Physics).  
650  1  4  _aMathematics. 
650  2  4  _aAlgebra. 
650  2  4  _aField Theory and Polynomials. 
710  2  _aSpringerLink (Online service)  
773  0  _tSpringer eBooks  
776  0  8 
_iPrinted edition: _z9780387220253 
830  0 
_aUndergraduate Texts in Mathematics, _x01726056 

856  4  0  _uhttp://dx.doi.org/10.1007/0387274758 
912  _aZDB2SMA  
999 
_c369324 _d369324 