000  03011nam a22004935i 4500  

001  9780817644499  
003  DEHe213  
005  20180115171432.0  
007  cr nn 008mamaa  
008  100301s2005 xxu s  0eng d  
020 
_a9780817644499 _99780817644499 

024  7 
_a10.1007/0817644490 _2doi 

050  4  _aQA241247.5  
072  7 
_aPBH _2bicssc 

072  7 
_aMAT022000 _2bisacsh 

082  0  4 
_a512.7 _223 
245  1  0 
_aComplex Numbers from A to... Z _h[electronic resource] / _cedited by Titu Andreescu, Dorin Andrica. 
264  1 
_aBoston, MA : _bBirkhĂ¤user Boston, _c2005. 

300 
_aXIV, 322 p. _bonline resource. 

336 
_atext _btxt _2rdacontent 

337 
_acomputer _bc _2rdamedia 

338 
_aonline resource _bcr _2rdacarrier 

347 
_atext file _bPDF _2rda 

505  0  _aComplex Numbers in Algebraic Form  Complex Numbers in Trigonometric Form  Complex Numbers and Geometry  More on Complex Numbers and Geometry  OlympiadCaliber Problems  Answers, Hints and Solutions to Proposed Problems.  
520  _aIt is impossible to imagine modern mathematics without complex numbers. Complex Numbers from A to . . . Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics. The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them. The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. A special feature of the book is the last chapter, a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented. The book reflects the unique experience of the authors. It distills a vast mathematical literature, most of which is unknown to the western public, and captures the essence of an abundant problem culture. The target audience includes undergraduates, high school students and their teachers, mathematical contestants (such as those training for Olympiads or the W. L. Putnam Mathematical Competition) and their coaches, as well as anyone interested in essential mathematics.  
650  0  _aMathematics.  
650  0  _aAlgebra.  
650  0  _aAlgebraic geometry.  
650  0  _aGeometry.  
650  0  _aNumber theory.  
650  1  4  _aMathematics. 
650  2  4  _aNumber Theory. 
650  2  4  _aAlgebra. 
650  2  4  _aAlgebraic Geometry. 
650  2  4  _aGeometry. 
700  1 
_aAndreescu, Titu. _eeditor. 

700  1 
_aAndrica, Dorin. _eeditor. 

710  2  _aSpringerLink (Online service)  
773  0  _tSpringer eBooks  
776  0  8 
_iPrinted edition: _z9780817643263 
856  4  0  _uhttp://dx.doi.org/10.1007/0817644490 
912  _aZDB2SMA  
999 
_c369879 _d369879 