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020 _a9780817684150
_9978-0-8176-8415-0
024 7 _a10.1007/978-0-8176-8415-0
_2doi
035 _ato000540376
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
082 0 4 _a512.7
_223
100 1 _aAndreescu, Titu.
_eauthor.
_9262881
245 1 0 _aComplex Numbers from A to ... Z
_helectronic resource
_cby Titu Andreescu, Dorin Andrica.
250 _a2nd ed. 2014.
260 _aBoston, MA :
_bBirkhäuser Boston :
_bImprint: Birkhäuser,
_c2014.
300 _aXVII, 391 p. 83 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aPreface -- Complex 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 -- Glossary -- References -- Index of Authors.
520 _aIt is impossible to imagine modern mathematics without complex numbers. The second edition of 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. Many new problems and solutions have been added in this second edition. 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.
_9566183
650 0 _aGeometry, algebraic.
_9303684
650 0 _aGeometry.
_9303683
650 0 _aNumber theory.
_9566229
650 1 4 _aMathematics.
_9566184
650 2 4 _aNumber Theory.
_9566230
650 2 4 _aAlgebraic Geometry.
_9303686
650 2 4 _aGeometry.
_9303683
700 1 _aAndrica, Dorin.
_eauthor.
_9281367
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8415-0
912 _aZDB-2-SMA
999 _c269682