LEADER 04418nam 22007575 450 001 9910299993303321 005 20250609112033.0 010 $a9780817684150 010 $a0817684158 024 7 $a10.1007/978-0-8176-8415-0 035 $a(CKB)3710000000089024 035 $a(Springer)9780817684150 035 $a(MH)013950632-2 035 $a(SSID)ssj0001187066 035 $a(PQKBManifestationID)11737807 035 $a(PQKBTitleCode)TC0001187066 035 $a(PQKBWorkID)11243253 035 $a(PQKB)10646577 035 $a(DE-He213)978-0-8176-8415-0 035 $a(MiAaPQ)EBC6314301 035 $a(MiAaPQ)EBC1698046 035 $a(Au-PeEL)EBL1698046 035 $a(CaPaEBR)ebr10969138 035 $a(OCoLC)871539199 035 $a(PPN)176749950 035 $a(MiAaPQ)EBC6284436 035 $a(EXLCZ)993710000000089024 100 $a20140217d2014 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComplex Numbers from A to ... Z /$fby Titu Andreescu, Dorin Andrica 205 $a2nd ed. 2014. 210 1$aBoston, MA :$cBirkhäuser Boston :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (XVII, 391 p. 83 illus.)$conline resource 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9780817684143 311 08$a081768414X 320 $aIncludes bibliographical references and index. 327 $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. 330 $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. 606 $aNumber theory 606 $aGeometry, Algebraic 606 $aGeometry 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 615 0$aNumber theory. 615 0$aGeometry, Algebraic. 615 0$aGeometry. 615 14$aNumber Theory. 615 24$aAlgebraic Geometry. 615 24$aGeometry. 676 $a512.788 700 $aAndreescu$b Titu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0285837 702 $aAndrica$b Dorin$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299993303321 996 $aComplex Numbers from A to ... Z$92504753 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress