* 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
Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and Olympiads, being the Director of AMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and Olympiad-style mathematics.
The subject is presented in detail, there are many examples with solutions and many exercises for practice. Very useful, nicely written and not boring.
Fuck, do I miss the straightforward world of high school maths.
Learnt many more things about geometry than about the complex world. The solutions make the mind bended and you can now see a whole lot of new methods for problems including algebra and geometry ofcourse. Next level Out of the box thinking book. will re-read for sure. Complex Numbers from A to... zeta would be awesome for the title. the book leaves no stone unturned.
Great introduction to complex numbers, but more suitable for high school students aiming for Olympiads (Which to be honest is mentioned in the preface, but my university thinks that it will be good at UG level).