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Titu Andreescu, Dorin Andrica (Beteiligte)

Complex Numbers from A to ... Z


2. Aufl. 2014. xvii, 391 S. 83 SW-Abb. 235 mm
Verlag/Jahr: SPRINGER, BASEL; BIRKHÄUSER BASEL 2014
ISBN: 0-8176-8414-X (081768414X)
Neue ISBN: 978-0-8176-8414-3 (9780817684143)

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This book shows how complex numbers can be used to solve algebraic equations, and to understand the geometric interpretation of complex numbers and the operations involving them. Includes exercises of varying difficulty, many added for this second edition.
Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation
Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty
A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented
May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory
Preface.- 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.