000 03011nam a22004935i 4500
001 978-0-8176-4449-9
003 DE-He213
005 20180115171432.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780817644499
_9978-0-8176-4449-9
024 7 _a10.1007/0-8176-4449-0
_2doi
050 4 _aQA241-247.5
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 :
_bBirkhäuser 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 -- Olympiad-Caliber 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/10.1007/0-8176-4449-0
912 _aZDB-2-SMA
999 _c369879
_d369879